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16 pages, 647 KiB  
Article
Geographic Scale Matters in Analyzing the Effects of the Built Environment on Choice of Travel Modes: A Case Study of Grocery Shopping Trips in Salt Lake County, USA
by Ensheng Dong, Felix Haifeng Liao and Hejun Kang
Urban Sci. 2025, 9(8), 307; https://doi.org/10.3390/urbansci9080307 - 5 Aug 2025
Abstract
Compared to commuting, grocery shopping trips, despite their profound implications for mixed land use and transportation planning, have received limited attention in travel behavior research. Drawing upon a travel diary survey conducted in a fast-growing metropolitan region of the United States, i.e., Salt [...] Read more.
Compared to commuting, grocery shopping trips, despite their profound implications for mixed land use and transportation planning, have received limited attention in travel behavior research. Drawing upon a travel diary survey conducted in a fast-growing metropolitan region of the United States, i.e., Salt Lake County, UT, this research investigated a variety of influential factors affecting mode choices associated with grocery shopping. We analyze how built environment (BE) characteristics, measured at seven spatial scales or different ways of aggregating spatial data—including straight-line buffers, network buffers, and census units—affect travel mode decisions. Key predictors of choosing walking, biking, or transit over driving include age, household size, vehicle ownership, income, land use mix, street density, and distance to the central business district (CBD). Notably, the influence of BE factors on mode choice is sensitive to different spatial aggregation methods and locations of origins and destinations. The straight-line buffer was a good indicator for the influence of store sales amount on mode choices; the network buffer was more suitable for the household built environment factors, whereas the measurement at the census block and block group levels was more effective for store-area characteristics. These findings underscore the importance of considering both the spatial analysis method and the location (home vs. store) when modeling non-work travel. A multi-scalar approach can enhance the accuracy of travel demand models and inform more effective land use and transportation planning strategies. Full article
11 pages, 425 KiB  
Article
Influence of Gait Speed on Inter-Joint Coordination in People with and Without Parkinson’s Disease
by Patrick Ippersiel, Philippe C. Dixon, Elke Warmerdam, Robbin Romijnders, Walter Maetzler and Clint Hansen
Biosensors 2025, 15(6), 367; https://doi.org/10.3390/bios15060367 - 6 Jun 2025
Viewed by 561
Abstract
Background: The influence of gait speed on lower-extremity coordination while walking in people with Parkinson’s disease (pwPD) is poorly understood. This study sought to investigate the relationship between gait speed and hip–knee coordination and coordination variability in older adults and pwPD. Methods: A [...] Read more.
Background: The influence of gait speed on lower-extremity coordination while walking in people with Parkinson’s disease (pwPD) is poorly understood. This study sought to investigate the relationship between gait speed and hip–knee coordination and coordination variability in older adults and pwPD. Methods: A total of 27 pwPD and 21 healthy older adults were recruited. Participants walked in a straight line at slow, preferred, and fast walking speeds. Gait data were collected using inertial measurement units, and the kinematics of the hip and knee were calculated. Coordination and coordination variability at the hip–knee joint pair were determined using continuous relative phase. A repeated measures two-way ANCOVA tested the impact of gait speed on coordination and coordination variability, while group differences were evaluated using statistical parametric mapping (SPM). Results: Neither the healthy older adults nor the pwPD adjusted their hip–knee coordination in response to changes in gait speed. pwPD also displayed a trend towards restricted hip and knee joint excursion compared to older adults, which may further limit their ability to adapt gait strategies. Conclusions: These findings suggest that interventions addressing both joint excursion and motor adaptability may be important for improving gait function in individuals with Parkinson’s disease. Real-world applicability can be found in the potential of wearable sensors to become a valuable tool in routine clinical practice for both diagnosis and ongoing management. Trial registration: The study is registered in the German Clinical Trials Register (DRKS00022998). Full article
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19 pages, 4022 KiB  
Article
Evaluating Robotic Walker Performance: Stability, Responsiveness, and Accuracy in User Movement Detection
by Larisa Dunai, Isabel Seguí Verdú, Sui Liang and Ismael Lengua Lengua
Sensors 2025, 25(11), 3428; https://doi.org/10.3390/s25113428 - 29 May 2025
Viewed by 537
Abstract
This work presents the experimental evaluation of a robotic walker following the full implementation of its sensor and motorization system. The aging population and increasing mobility impairments drive the need for assistive robotic technologies that enhance safe and independent movement. The main objective [...] Read more.
This work presents the experimental evaluation of a robotic walker following the full implementation of its sensor and motorization system. The aging population and increasing mobility impairments drive the need for assistive robotic technologies that enhance safe and independent movement. The main objective was to validate the device’s behavior in real-use scenarios by assessing its stability, responsiveness, and accuracy in detecting user movement. Tests were carried out in straight-line walking and on paths involving directional changes, both with and without motor assistance, using a cohort of five test users. Principal Component Analysis (PCA) and t-SNE dimensionality reduction techniques were applied to analyze the inertial (IMU) and proximity (TOF) sensor data, complemented by motor control monitoring through wheel Hall sensors, to explore gait patterns and system performance. Additionally, synchronized measurements between the user’s and walker’s inertial units and Time-of-Flight sensors allowed the evaluation of spatial alignment and motion correlation. The results provide a foundation for future system adjustment and optimization, ensuring the walker offers effective, safe, and adaptive assistance tailored to the user’s needs. Findings reveal that the walker successfully distinguishes individual gait patterns and adapts its behavior accordingly, demonstrating its potential for personalized mobility support. Full article
(This article belongs to the Section Navigation and Positioning)
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11 pages, 1245 KiB  
Article
Estimation of 3D Ground Reaction Force and 2D Center of Pressure Using Deep Learning and Load Cells Across Various Gait Conditions
by Junggil Kim, Ki-Cheon Kim, Gyerae Tack and Jin-Seung Choi
Sensors 2025, 25(11), 3357; https://doi.org/10.3390/s25113357 - 26 May 2025
Viewed by 927
Abstract
Traditional force plate-based systems offer high measurement precision but are limited to laboratory settings, restricting their use in real-world environments. To address this, we propose a method for estimating a three-axis ground reaction force (GRF) and two-axis center of pressure (CoP) using a [...] Read more.
Traditional force plate-based systems offer high measurement precision but are limited to laboratory settings, restricting their use in real-world environments. To address this, we propose a method for estimating a three-axis ground reaction force (GRF) and two-axis center of pressure (CoP) using a shoe embedded with three uniaxial load cells. The estimation was conducted under five gait conditions: straight walking, turning, uphill, downhill, and running. Data were collected from 40 healthy young adults. Four deep-learning models—Fully Connected Neural Network (FCNN), Convolutional Neural Network (CNN), Sequence-to-Sequence Long Short-Term Memory (Seq2Seq-LSTM), and Transformer—were evaluated. Among them, Seq2Seq-LSTM and CNN achieved the highest performance in predicting both GRF and CoP. However, the medio-lateral (ML) components showed lower accuracy than the vertical and anterior–posterior directions. In slope conditions, particularly for vertical GRF, relatively higher root mean-square error (RMSE) values were observed. Despite some variation across gait types, predicted values showed high agreement with measurements. Compared with previous studies, the proposed method achieved comparable or better performance with a minimal sensor setup. These findings highlight the feasibility of accurate GRF and CoP estimation in diverse gait scenarios and support the potential for real-world applications. Future work will focus on sensor optimization and broader population validation. Full article
(This article belongs to the Special Issue Wearable Devices for Physical Activity and Healthcare Monitoring)
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13 pages, 1060 KiB  
Article
A Two-State Random Walk Model of Sperm Search on Confined Domains
by Martin Bier, Maciej Majka and Cameron Schmidt
Entropy 2025, 27(5), 539; https://doi.org/10.3390/e27050539 - 19 May 2025
Viewed by 447
Abstract
Mammalian fertilization depends on sperm successfully navigating a spatially and chemically complex microenvironment in the female reproductive tract. This process is often conceptualized as a competitive race, but is better understood as a collective random search. Sperm within an ejaculate exhibit a diverse [...] Read more.
Mammalian fertilization depends on sperm successfully navigating a spatially and chemically complex microenvironment in the female reproductive tract. This process is often conceptualized as a competitive race, but is better understood as a collective random search. Sperm within an ejaculate exhibit a diverse distribution of motility patterns, with some moving in relatively straight lines and others following tightly turning trajectories. Here, we present a two-state random walk model in which sperm switch from high-persistence-length to low-persistence-length motility modes. In reproductive biology, such a switch is often recognized as “hyperactivation”. We study a circularly symmetric setup with sperm emerging at the center and searching a finite-area disk. We explore the implications of switching on search efficiency. The first proposed model describes an adaptive search strategy in which sperm achieve improved spatial coverage without cell-to-cell or environment-to-cell communication. The second model that we study adds a small amount of environment-to-cell communication. The models resemble macroscopic search-and-rescue tactics, but without organization or networked communication. Our findings provide a quantitative framework linking sperm motility patterns to efficient search strategies, offering insights into sperm physiology and the stochastic search dynamics of self-propelled particles. Full article
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13 pages, 2237 KiB  
Article
Biomimetic Soft Actuator with Deformation and Motion Driven by Near-Infrared Light
by Mei Li and Yubai Ma
Polymers 2025, 17(10), 1315; https://doi.org/10.3390/polym17101315 - 12 May 2025
Viewed by 444
Abstract
Restricted by the inherent low sensitivity of materials and complex integration technology, it is difficult for existing soft actuators (s-actuators) to simultaneously possess the advantages of flexibility, fast response, and simple manufacturing, which greatly limits their practical applications. Herein, a stretchable (ε = [...] Read more.
Restricted by the inherent low sensitivity of materials and complex integration technology, it is difficult for existing soft actuators (s-actuators) to simultaneously possess the advantages of flexibility, fast response, and simple manufacturing, which greatly limits their practical applications. Herein, a stretchable (ε = 200%) nanocomposite film capable of deformation and motion driven by near infrared light (NIR) was developed using multi-walled carbon nanotubes (MWCNTs) as the light absorption–photothermal conversion nanonetwork, and liquid crystal polymer (LCP) as an elastic matrix featured reversible phase transition. Furthermore, s-actuators with various deformation and motion modes have been realized employing MWCNT/LCP nanocomposite film. Based on the mechanism that photothermal-effect-regulated liquid crystal–isotropic phase transition in LCP can induce macroscopic deformation of nanocomposites, MWCNT/LCP s-actuators have completed a series of complex deformation and motion tasks such as opening the knot, “V”-shape reversible deformation (30 s per cycle), the “spring” rotating and unfolding, imitating a “caterpillar” walking in a straight line (the average speed is 13 s/mm), etc. This work provides an effective strategy for the intelligent development of s-actuators. Full article
(This article belongs to the Section Polymer Composites and Nanocomposites)
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18 pages, 2383 KiB  
Article
A Digital Analysis of the ‘Phoenix Trackway’ at the Hanxi Cretaceous Dinosaur Tracksite, China
by Anthony Romilio and Lida Xing
Geosciences 2025, 15(5), 165; https://doi.org/10.3390/geosciences15050165 - 3 May 2025
Cited by 1 | Viewed by 2798
Abstract
Long dinosaur trackways provide valuable records of trackmaker behaviour, yet their study is often hindered by logistical challenges in documentation and analysis. This study addresses these limitations by employing digital methodologies to re-analyse the Lower Cretaceous HX-T3 theropod trackway, originally mapped in 2015. [...] Read more.
Long dinosaur trackways provide valuable records of trackmaker behaviour, yet their study is often hindered by logistical challenges in documentation and analysis. This study addresses these limitations by employing digital methodologies to re-analyse the Lower Cretaceous HX-T3 theropod trackway, originally mapped in 2015. At nearly 70 m in length, this is the longest documented theropod trackway in China. Using digital mapping, 81 footprints were examined, revealing a consistent southward orientation between 163° and 187° azimuth, a trackway width of 0.008 to 0.300 m, and pace and stride lengths ranging from 0.707 to 1.176 m and 1.408 to 2.043 m, respectively. A potential trackmaker, Yutyrannus, was used to estimate a hip height of 1.13 m in a bent-legged stance, with relative stride values indicating a consistent walking gait at a median speed of 5.3 km/h. A digital life reconstruction animated in a bent-legged stance allowed the translation of ichnological data into a real-time reconstruction of trackmaker locomotion, providing dynamic insight into behavioural movement and avoiding unrealistic limb dislocations associated with straight-leg models. This study highlights the efficacy of digital methods in overcoming field-based limitations, integrating trace and body fossil evidence to enhance previous research. Full article
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12 pages, 1121 KiB  
Article
Pressure-Relief Effect of Post-Op Shoes Depends on Correct Usage While Walking
by Claudia Döhner, Christian Soost, Sam Steinhöfer, Jan A. Graw, Christopher Bliemel, Artur Barsumyan and Rene Burchard
Bioengineering 2025, 12(5), 489; https://doi.org/10.3390/bioengineering12050489 - 2 May 2025
Viewed by 754
Abstract
Post-op shoes (POSs) are commonly used after forefoot surgery to protect the surgical site. However, there are insufficient data on their impact on forefoot load during the rollover phase of walking. This study aims to analyze the effects of a commonly used POS [...] Read more.
Post-op shoes (POSs) are commonly used after forefoot surgery to protect the surgical site. However, there are insufficient data on their impact on forefoot load during the rollover phase of walking. This study aims to analyze the effects of a commonly used POS on plantar pressures under the forefoot and to assess whether improper usage could affect pressure patterns. Sixteen healthy volunteers underwent three different walking tests on a straight tartan track. The test setting included walking barefoot, as well as normal walking and a modified heel-accentuated “limping” gait while wearing a common POS. The pressure distribution over the forefoot regions of interest was measured using sensor insoles and a pressure-measuring plate on the ground. Results show that only the heel-accentuated “limping” gait in the POS led to a significant reduction in pressure values over all anatomical regions compared to the normal barefoot gait. Furthermore, higher pressure values were found over the lesser toes during normal walking in the POS compared to normal barefoot walking. The findings highlight that the protective function of a POS relies on proper use, specifically the correct gait pattern. If used incorrectly, POS may even have unfavorable effects on the pressure on the operated forefoot and possibly even increase the risk of delayed healing or complications in comparison to barefoot walking. Therefore, strategies such as patient training in proper walking techniques should be incorporated into postoperative care. Full article
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11 pages, 1945 KiB  
Article
Initial Effects of Dynamic Tape on Foot Arch Height Under Cyclic Loading: A Pilot Study Among University Students
by Ting-Chen Chang, Po-Cheng Cheng, Yu-Hsuan Chung, Chih-Wei Chang, Yen-Nien Chen and Chia-Jung Chang
Sports 2025, 13(5), 138; https://doi.org/10.3390/sports13050138 - 30 Apr 2025
Viewed by 448
Abstract
Background: Dynamic tape is one of the options for supporting the foot arch in the management of arch-related disorders. However, its mechanical effects on the foot arch remain unclear, particularly under cyclic loading. This study aims to investigate the initial effects of dynamic [...] Read more.
Background: Dynamic tape is one of the options for supporting the foot arch in the management of arch-related disorders. However, its mechanical effects on the foot arch remain unclear, particularly under cyclic loading. This study aims to investigate the initial effects of dynamic taping on maintaining foot arch height under cyclic loading among university students. Methods: Thirty-three asymptomatic participants were enrolled in this study. The dynamic tape was applied to the foot with the lower arch to provide support, and the other foot remained untaped as a control. The tape was applied without pre-tension and simply laid straight. Changes in bilateral foot arch height and index were measured using a commercial foot sole morphology assessment device and compared after 6 and 12 min of walking. Results: The arch height did not decrease significantly after walking for 6 or 12 min in either the taped or untaped foot. However, the arch index of the taped foot increased significantly (from 0.258 ± 0.086 to 0.273 ± 0.085) after 12 min of walking, whereas no significant change was observed in the untaped foot. Conclusions: This study is the first to evaluate the initial effect of dynamic tape applied without pre-tension on foot arch support by directly measuring sole morphology using a pin-array impression device. The results indicate that dynamic tape without pre-tension does not effectively prevent the immediate reduction in foot arch height after application. Further research is needed to determine the optimal balance between pre-tension and therapeutic efficacy. Full article
(This article belongs to the Special Issue Biomechanics of Walking and Running: Health and Injury Prevention)
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15 pages, 1990 KiB  
Article
New Parameters Based on Ground Reaction Forces for Monitoring Rehabilitation Following Tibial Fractures and Assessment of Heavily Altered Gait
by Christian Wolff, Elke Warmerdam, Tim Dahmen, Tim Pohlemann, Philipp Slusallek and Bergita Ganse
Sensors 2025, 25(8), 2475; https://doi.org/10.3390/s25082475 - 15 Apr 2025
Cited by 1 | Viewed by 782
Abstract
Instrumented insoles have created opportunities for patient monitoring via long-term recordings of ground reaction forces (GRFs). As the GRF curve is altered in patients after lower-extremity fracture, parameters defined on established curve landmarks often cannot be used to monitor the early rehabilitation process. [...] Read more.
Instrumented insoles have created opportunities for patient monitoring via long-term recordings of ground reaction forces (GRFs). As the GRF curve is altered in patients after lower-extremity fracture, parameters defined on established curve landmarks often cannot be used to monitor the early rehabilitation process. We aimed to screen several new GRF curve-based parameters for suitability and hypothesized an interrelation with days after surgery. In an observational longitudinal study, data were collected from 13 patients with tibial fractures during straight walking at hospital visits using instrumented insoles. Parametrized curves were fitted and regression analyses conducted to determine the best fit, reflected in the highest R2-value and lowest fitting error. A Wald Test with t-distribution was employed for statistical analysis. Strides were classified as regular or non-regular, and changes in this proportion were analyzed. Among the 12 parameters analyzed, those with the highest R2-values were the mean force between inflection points (R2 = 0.715, p < 0.001, t42 = 9.89), the absolute time between inflection points (R2 = 0.707, p < 0.001, t42 = 9.83), and the highest overall force (R2 = 0.722, p < 0.001, t42 = 10.05). There was a significant increase in regular strides on both injured (R2 = 0.427, p < 0.001, t42 = 5.83) and healthy (R2 = 0.506, p < 0.001, t42 = 6.89) sides. The proposed parameters and assessment of the regular stride ratio enable new options for analyses and monitoring during rehabilitation after tibial shaft fractures. They are robust to pathologic GRF curves, can be determined independently from spatiotemporal coherence, and thus might provide advantages over established methods. Full article
(This article belongs to the Special Issue Sensors for Human Activity Recognition: 3rd Edition)
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24 pages, 970 KiB  
Article
A Note on a Random Walk on the L-Lattice and Relative First-Passage-Time Problems
by Serena Spina
AppliedMath 2025, 5(2), 44; https://doi.org/10.3390/appliedmath5020044 - 9 Apr 2025
Viewed by 765
Abstract
We analyze a discrete-time random walk on the vertices of an unbounded two-dimensional L-lattice. We determine the probability generating function, and we prove the independence of the coordinates. In particular, we find a relation of each component with a one-dimensional biased random walk [...] Read more.
We analyze a discrete-time random walk on the vertices of an unbounded two-dimensional L-lattice. We determine the probability generating function, and we prove the independence of the coordinates. In particular, we find a relation of each component with a one-dimensional biased random walk with time changing. Therefore, the transition probabilities and the main moments of the random walk can be obtained. The asymptotic behavior of the process is studied, both in the classical sense and involving the large deviations theory. We investigate first-passage-time problems of the random walk through certain straight lines, and we determine the related probabilities in closed form and other features of interest. Finally, we develop a simulation approach to study the first-exit problem of the process thought ellipses. Full article
(This article belongs to the Special Issue The Impact of Stochastic Perturbations)
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14 pages, 4209 KiB  
Communication
Evaluating Gait Abnormalities in Asian Elephants Using Inertial Measurement Unit-Based Vertical Movement Symmetry Analysis: A Pilot Study
by Siripat Khammesri, Kittichai Wantanajittikul, Kittikul Namwongprom, Narueporn Kittisirikul, Pichamon Ueangpaibool, Chatchote Thitaram, Janine L. Brown and Siriphan Kongsawasdi
Vet. Sci. 2025, 12(2), 154; https://doi.org/10.3390/vetsci12020154 - 11 Feb 2025
Cited by 1 | Viewed by 1059
Abstract
The early detection of lameness in elephants is essential for effective treatment and welfare enhancement, but subtle gait abnormalities are often difficult to identify visually. This study aimed to evaluate vertical movement symmetry in Asian elephants using cross-correlation analysis of data from inertial [...] Read more.
The early detection of lameness in elephants is essential for effective treatment and welfare enhancement, but subtle gait abnormalities are often difficult to identify visually. This study aimed to evaluate vertical movement symmetry in Asian elephants using cross-correlation analysis of data from inertial measurement units (IMUs). Six elephants were assessed, including individuals with normal gait and one exhibiting an abnormal gait. IMU sensors were attached to the proximal and distal segments of the forelimbs and hindlimbs to record vertical movements during straight-line walking. Cross-correlation coefficients were calculated to quantify the symmetry between the left and right limbs, providing an objective measure of gait patterns. This method provided an objective assessment of gait patterns and demonstrated potential in detecting lameness in elephants. This approach could facilitate the early identification of gait abnormalities, enabling timely interventions and potentially improving treatment outcomes and the welfare of captive elephant populations. Further studies involving a larger number of elephants with confirmed gait abnormalities are necessary to validate the robustness and reliability of this approach. Full article
(This article belongs to the Section Veterinary Biomedical Sciences)
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14 pages, 1617 KiB  
Article
Effects of Route Complexity and Lighting on Route Following in Alzheimer’s Disease and Posterior Cortical Atrophy
by Amelia M. Carton, Chris Frost, Teresa Poole, Biao Yang, Ian D. McCarthy, Tatsuto Suzuki, Catherine Holloway, Robin Serougne, Derrick Boampong, Mary Pat Sullivan, Nick Tyler, Sebastian Crutch and Keir X. X. Yong
Brain Sci. 2024, 14(12), 1217; https://doi.org/10.3390/brainsci14121217 - 30 Nov 2024
Cited by 1 | Viewed by 1348
Abstract
Objective: Visual processing deficits arising in dementia are associated with particular functional disability. This study aimed to investigate the effects of the built environment on mobility and navigation in people with dementia-related visual loss. Methods: Participants with posterior cortical atrophy (PCA; “visual-variant Alzheimer’s”; [...] Read more.
Objective: Visual processing deficits arising in dementia are associated with particular functional disability. This study aimed to investigate the effects of the built environment on mobility and navigation in people with dementia-related visual loss. Methods: Participants with posterior cortical atrophy (PCA; “visual-variant Alzheimer’s”; n = 11), typical Alzheimer’s disease (tAD; N = 10), and controls (n = 13) repeatedly walked down routes within a simplified real-world setting. Participant groups were of comparable age and gender. Routes were of different complexity (straight, U-shaped, and S-shaped), overhead lighting levels (low and high) and with or without a dynamic LED (light-emitting diode) cue (trial n = 24). Ratios of walking times for each experimental condition (each complex route vs the straight route, high lighting vs low, and LED cue vs no cue) were compared between participant groups. Kinematic measures were produced from a total of 10,813 steps using wearable inertial measurement units (IMUs). Results: The walking time ratios relating to route complexity were higher in the PCA group than in controls: 30.3% (95% CI [13.5%, 49.5%] higher for U-shaped vs straight and 31.9% [21.1%, 55.3%] for S-shaped vs straight, averaged over other conditions). The analogous results relating to route complexity for the tAD group were intermediate between those for the PCA and control groups. There was no evidence that walking time ratios differed according to lighting level or the presence of the LED cue. Conclusions: Findings contribute to evidence-based design for dementia-friendly environments, emphasizing consequences of environmental complexity for functional independence and mobility in people with dementia-related visual loss. Findings inform recommendations for environmental design to support the independence of individuals with dementia. Full article
(This article belongs to the Special Issue Language Dysfunction in Posterior Cortical Atrophy)
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21 pages, 8999 KiB  
Article
An MPC-DCM Control Method for a Forward-Bending Biped Robot Based on Force and Moment Control
by Zhongshan Wei, Wenyan Deng, Zhengyong Feng, Tao Wang and Xinxiang Huang
Electronics 2024, 13(22), 4374; https://doi.org/10.3390/electronics13224374 - 8 Nov 2024
Cited by 1 | Viewed by 1573
Abstract
For a forward-bending biped robot with 10 degrees of freedom on its legs, a new control framework of MPC-DCM based on force and moment is proposed in this paper. Specifically, the Diverging Component of Motion (DCM) is a stability criterion for biped robots [...] Read more.
For a forward-bending biped robot with 10 degrees of freedom on its legs, a new control framework of MPC-DCM based on force and moment is proposed in this paper. Specifically, the Diverging Component of Motion (DCM) is a stability criterion for biped robots based on linear inverted pendulum, and Model Predictive Control (MPC) is an optimization solution strategy using rolling optimization. In this paper, DCM theory is applied to the state transition matrix of the system, combined with simplified rigid body dynamics, the mathematical description of the biped robot system is established, the classical MPC method is used to optimize the control input, and DCM constraints are added to the constraints of MPC, making the real-time DCM approximate to a straight line in the walking single gait. At the same time, the linear angle and friction cone constraints are considered to enhance the stability of the robot during walking. In this paper, MATLAB/Simulink is used to simulate the robot. Under the control of this algorithm, the robot can reach a walking speed of 0.75 m/s and has a certain anti-disturbance ability and ground adaptability. In this paper, the Model-H16 robot is used to deploy the physical algorithm, and the linear walking and obstacle walking of the physical robot are realized. Full article
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15 pages, 6201 KiB  
Article
Development and Experimental Study of an Experimental Setup for an Online Vibrating Tube Liquid Densitometer
by Defu Xu, Yaoning Sun, Welin Chen, Jun Mu and Wang Peng
Appl. Sci. 2024, 14(21), 9905; https://doi.org/10.3390/app14219905 - 29 Oct 2024
Cited by 1 | Viewed by 1109
Abstract
Density is a crucial parameter for quantitatively describing the physical properties of liquids. It serves as an important indicator for scientific research, production process control, pipeline transportation, and other aspects. In oil pipeline transportation and raw material processing, the real-time online measurement of [...] Read more.
Density is a crucial parameter for quantitatively describing the physical properties of liquids. It serves as an important indicator for scientific research, production process control, pipeline transportation, and other aspects. In oil pipeline transportation and raw material processing, the real-time online measurement of liquid density is of great significance. This paper analyzes the working principle of an online vibrating tube densitometer and derives the fitting equation for temperature, pressure, and density; it also conducts experiments with an online vibrating tube liquid densitometer and establishes a traceability chain for the experimental device. The experimental setup includes a desktop densitometer system, a multi-temperature field constant-temperature stirring system, a walk-in constant-temperature box, an automatic blowing system, and a frequency acquisition and calculation system. The uncertainty of the device’s evaluation is U = 0.08 kg/m3, k = 2. We built a set of pressure-density static test systems, statically testing the online vibrating tube’s liquid-density meter vibration frequency at different pressures; the whole set of systems can be used to assess the specific density, temperature, and pressure range of online vibrating tube liquid density meters in the experimental research to derive the standard temperature. Through the experimental research, we can accurately derive the fitting coefficients under the standard temperature, specific temperature, and pressure of online vibrating tube liquid densitometers, and calculate the fitting error of online vibrating tube liquid densitometers under different temperatures and pressures within the experimental range through fitting equations and coefficients, so as to realize the practical application of online vibrating tube liquid densitometers in engineering by utilizing straight-tube-type and curved-type online vibrating tube densitometers. A preliminary study was conducted on the effects of different densities, temperatures, and pressures on the vibrating tube system’s vibration cycle. The fit coefficient and error were calculated, and the experimental results were compared to the theoretical analysis to confirm the device’s conformity. The study verified the device’s scientific and reasonable design, and demonstrated that it is feasible to use the device for follow-up research. Using this device in subsequent experiments can verify the effects of viscosity, inlet, installation, and other factors on the online vibrating tube liquid densitometer’s metrological performance. Further experimental research on the pressure–frequency–density test system and the establishment of a wide range of temperatures and pressures within the pressure standard density test system are needed to achieve a wide range of temperatures and pressures under the standard density test. Full article
(This article belongs to the Section Mechanical Engineering)
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