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Keywords = chord error

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22 pages, 2225 KB  
Article
A Chord Error-Priority Bilevel Interpolation Optimization Method for Complex Path Planning
by Pengxuan Wei, Liping Wang, Dan Wang, Jun Qi and Xiaolong Ye
Mathematics 2025, 13(21), 3385; https://doi.org/10.3390/math13213385 - 24 Oct 2025
Viewed by 175
Abstract
To address path deviation and efficiency reduction issues in traditional interpolation optimization algorithms for complex path machining, this paper proposes a chord error-priority bilevel interpolation optimization method (CPBI). First, arc length parametric modeling of the machining path is performed within the Frenet–Serret framework, [...] Read more.
To address path deviation and efficiency reduction issues in traditional interpolation optimization algorithms for complex path machining, this paper proposes a chord error-priority bilevel interpolation optimization method (CPBI). First, arc length parametric modeling of the machining path is performed within the Frenet–Serret framework, yielding curvature and torsion information. After introducing geometric-based multi-machining constraints in the outer layer, the velocity upper limit is established by controlling chord error to dynamically adjust regions with curvature mutation. In the inner layer, combining the velocity limit with bidirectional scanning achieves adaptive optimization of interpolation step size and optimal velocity planning that balances precision and smoothness. Simulation results demonstrate that CPBI effectively reduces the number of interpolation points by 30–50% while ensuring the chord error. Compared with the reference method, the CPBI improved efficiency by 14.31% and 34.72% in machining experiments on S-shaped and wave-shaped paths, respectively. The results validated the CPBI’s high precision and efficiency advantages in complex path machining, providing an effective solution for CNC path optimization in high-end manufacturing. Full article
(This article belongs to the Special Issue Intelligent Control and Applications of Nonlinear Dynamic System)
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27 pages, 11073 KB  
Article
An Efficient and High-Precision Nonlinear Co-Rotational Beam Method for Wind Turbine Blades Considering Tapering Effects and Anisotropy
by Zizhen Zhao, Long Wang, Xilai Li and Tongguang Wang
Energies 2025, 18(18), 4907; https://doi.org/10.3390/en18184907 - 15 Sep 2025
Viewed by 542
Abstract
The size and flexibility of offshore turbine blades manufactured from composite materials have continuously increased in recent years. In this context, accurate and efficient aeroelastic analyses are important for designing and safely assessing long, flexible blades. Existing linear beam models need to be [...] Read more.
The size and flexibility of offshore turbine blades manufactured from composite materials have continuously increased in recent years. In this context, accurate and efficient aeroelastic analyses are important for designing and safely assessing long, flexible blades. Existing linear beam models need to be revised to offer accurate estimates of the geometric nonlinear effects triggered by large displacements. Nonlinear, geometrically exact beam models that have already been extensively used for the above purpose are generally difficult to converge and inefficient. We propose a novel co-rotational beam model for the nonlinear analysis of wind turbine blades. The method adopts vector complement to resolve rotation vector singularity problems. A complete anisotropic cross-sectional stiffness matrix and Timoshenko beam elements are introduced to capture full coupling effects. The method also considers the anisotropy and taper effects caused by the non-uniformity of chord length and material distributions. We established the nonlinear aeroelastic model of the DTU 10 MW turbine, and the results showed that the taper effect dramatically reduced the blade torsion angle by up to 31.44% under rated wind speed. Meanwhile, static beam experiments demonstrate that the accuracy error of the current method is only 1.78%, which is significantly lower than the 17.8% error of the conventional finite element beam method. Full article
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20 pages, 2241 KB  
Article
HarmonyTok: Comparing Methods for Harmony Tokenization for Machine Learning
by Maximos Kaliakatsos-Papakostas, Dimos Makris, Konstantinos Soiledis, Konstantinos-Theodoros Tsamis, Vassilis Katsouros and Emilios Cambouropoulos
Information 2025, 16(9), 759; https://doi.org/10.3390/info16090759 - 1 Sep 2025
Viewed by 764
Abstract
This paper explores different approaches to harmony tokenization in symbolic music for transformer-based models, focusing on two tasks: masked language modeling (MLM) and melodic harmonization generation. Four tokenization strategies are compared, each varying in how chord information is encoded: (1) as full chord [...] Read more.
This paper explores different approaches to harmony tokenization in symbolic music for transformer-based models, focusing on two tasks: masked language modeling (MLM) and melodic harmonization generation. Four tokenization strategies are compared, each varying in how chord information is encoded: (1) as full chord symbols, (2) separated into root and quality, (3) as sets of pitch classes, and (4) as sets of pitch classes where one is designated as a root. A dataset of over 17,000 lead sheet charts is used to train and evaluate RoBERTa for MLM and GPT-2/BART for harmonization. The results show that chord spelling methods—those breaking chords into pitch-class tokens—achieve higher accuracy and lower perplexity, indicating more confident predictions. These methods also produce fewer token-level errors. In harmonization tasks, chunkier tokenizations (with more information per token) generate chords more similar to the original data, while spelling-based methods better preserve structural aspects such as harmonic rhythm and melody–harmony alignment. Audio evaluations reveal that spelling-based models tend toward more generic pop-like harmonizations, while chunkier tokenizations more faithfully reflect the dataset’s style. Overall, while no single tokenization method dominates across all tasks, different strategies may be preferable for specific applications, such as classification or generative style transfer. Full article
(This article belongs to the Special Issue Machine Learning and Artificial Intelligence with Applications)
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22 pages, 6240 KB  
Article
A Linear Interpolation Method for Five-Axis Machining Paths on Fan Blisk Surfaces with Constant Theoretical Machining Error
by Zhiwei Wang, Yingjian Tian, Shuanglong Mao, Zhanwang Shi and Hengdi Wang
Machines 2025, 13(9), 768; https://doi.org/10.3390/machines13090768 - 28 Aug 2025
Viewed by 675
Abstract
Blisks are complex thin-walled parts with specific structures that have narrow channels and a large degree of bowed-twisted blades. Five-axis machining technology critically influences blisk surface quality and production efficiency, as the toolpath determines machining accuracy for complex curved blades. A method of [...] Read more.
Blisks are complex thin-walled parts with specific structures that have narrow channels and a large degree of bowed-twisted blades. Five-axis machining technology critically influences blisk surface quality and production efficiency, as the toolpath determines machining accuracy for complex curved blades. A method of optimal cutter location calculation for linear interpolation path based on the constraint of equal theoretical machining error is proposed. Based on the kinematics model of the machine tool, the mapping relationship between the trajectory deviation of the five-axis of machine tool and the tool pose deviation in the workpiece coordinate system is established, and then the maximum overcut/undercut value under the coupling action of the tool tip deviation and the tool orientation deviation is estimated. Based on this, a method to estimate the upper limit of theoretical machining error caused during the movement of the tool along the linear path is proposed. And the algorithm for searching discrete cutter locations on the trajectory of cutting contacts is given to maximize the length of linear path based on the constraint of equal machining error. Experimental results demonstrate that the proposed method effectively reduces redundant cutter locations on linear paths and enhances blisk surface quality by replacing conventional constant chord error control with a more preblisk machining error constraint. Full article
(This article belongs to the Section Advanced Manufacturing)
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21 pages, 3166 KB  
Article
Structure/Aerodynamic Nonlinear Dynamic Simulation Analysis of Long, Flexible Blade of Wind Turbine
by Xiangqian Zhu, Siming Yang, Zhiqiang Yang, Chang Cai, Lei Zhang, Qing’an Li and Jin-Hwan Choi
Energies 2025, 18(16), 4362; https://doi.org/10.3390/en18164362 - 15 Aug 2025
Viewed by 599
Abstract
To meet the requirements of geometric nonlinear modeling and bending–torsion coupling analysis of long, flexible offshore blades, this paper develops a high-precision engineering simplified model based on the Absolute Nodal Coordinate Formulation (ANCF). The model considers nonlinear variations in linear density, stiffness, and [...] Read more.
To meet the requirements of geometric nonlinear modeling and bending–torsion coupling analysis of long, flexible offshore blades, this paper develops a high-precision engineering simplified model based on the Absolute Nodal Coordinate Formulation (ANCF). The model considers nonlinear variations in linear density, stiffness, and aerodynamic center along the blade span and enables efficient computation of 3D nonlinear deformation using 1D beam elements. Material and structural function equations are established based on actual 2D airfoil sections, and the chord vector is obtained from leading and trailing edge coordinates to calculate the angle of attack and aerodynamic loads. Torsional stiffness data defined at the shear center is corrected to the mass center using the axis shift theorem, ensuring a unified principal axis model. The proposed model is employed to simulate the dynamic behavior of wind turbine blades under both shutdown and operating conditions, and the results are compared to those obtained from the commercial software Bladed. Under shutdown conditions, the blade tip deformation error in the y-direction remains within 5% when subjected only to gravity, and within 8% when wind loads are applied perpendicular to the rotor plane. Under operating conditions, although simplified aerodynamic calculations, structural nonlinearity, and material property deviations introduce greater discrepancies, the x-direction deformation error remains within 15% across different wind speeds. These results confirm that the model maintains reasonable accuracy in capturing blade deformation characteristics and can provide useful support for early-stage dynamic analysis. Full article
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29 pages, 8435 KB  
Article
Study on the Bearing Characteristics of a Novel Inner Support Structure for Deep Foundation Pits Based on Full-Scale Experiments
by Xingui Zhang, Jianhang Liang, Gang Wei, Chengkao Liang, Li’e Yan, Wei Han, Yidan Zhang, Yingzhi Tian and Huai Zhang
Buildings 2025, 15(16), 2887; https://doi.org/10.3390/buildings15162887 - 15 Aug 2025
Cited by 1 | Viewed by 423
Abstract
Traditional internal support systems for deep foundation pits often suffer from issues such as insufficient stiffness, excessive displacement, and large support areas. To address these problems, the authors developed a novel spatial steel joist internal support system. Based on a large-scale field model [...] Read more.
Traditional internal support systems for deep foundation pits often suffer from issues such as insufficient stiffness, excessive displacement, and large support areas. To address these problems, the authors developed a novel spatial steel joist internal support system. Based on a large-scale field model test, this study investigates the bearing characteristics of the proposed system in deep foundation pits. A stiffness formulation for the novel support system was analytically derived and experimentally validated through a calibrated finite element model. After validation with test results, the effects of different vertical prestressing forces on the structure were analyzed. The results indicate that the proposed system provides significant support in deep foundation pits. The application of both horizontal and vertical prestressing increases the internal forces within the support structure while reducing overall displacement. The numerical predictions of horizontal displacement, bending moment, and the axial force distribution of the main support, as well as their development trends, align well with the model test results. Moreover, increasing the prestressing force of the steel tie rods effectively controls the deformation of the vertical arch support and enhances the stability of the spatial structure. The derived stiffness formula shows a small error compared with the finite element results, demonstrating its high accuracy. Furthermore, the diagonal support increases the stiffness of the lower chord bar support by 28.24%. Full article
(This article belongs to the Section Building Structures)
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18 pages, 3215 KB  
Article
An Optoelectronic System for the Online Monitoring of the Chord Length of Steam Turbine Rotor Blades for Early Fault Detection
by Valery V. Korotaev, Liliana S. Rodikova, Alexandr N. Timofeev, Victoria A. Ryzhova, Sergey N. Yarishev, Todor S. Djamiykov and Marin B. Marinov
Machines 2025, 13(3), 174; https://doi.org/10.3390/machines13030174 - 22 Feb 2025
Viewed by 709
Abstract
Research Subject: The research subject was the error of optoelectronic video endoscopy systems in measuring the chord length of low-pressure cylinder steam turbine blades during shaft rotation. Objective: The objective was to reduce the error of the optoelectronic system in measuring the chord [...] Read more.
Research Subject: The research subject was the error of optoelectronic video endoscopy systems in measuring the chord length of low-pressure cylinder steam turbine blades during shaft rotation. Objective: The objective was to reduce the error of the optoelectronic system in measuring the chord length of turbine rotor blades on a closed cylinder during shaft rotation. Methodology: Analytical research and computer modeling of the information transformation process during blade image formation and processing were carried out. Theoretical and experimental evaluations of the system error were conducted. Main Results: The structure of the components contributing to the error in estimating the chord length of low-pressure turbine blades was analyzed. The contribution of individual components to the total error was identified, and methods for reducing the most significant error components were proposed. Practical Significance: The effectiveness of the proposed methods for error reduction was validated through computer simulations and experimental studies on two system prototypes. The results showed that the standard deviation of the random error component in chord measurement during dynamic operation did not exceed 0.27 mm. Full article
(This article belongs to the Section Turbomachinery)
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20 pages, 27225 KB  
Article
The Application of Negative Poisson’s Ratio Metamaterials in the Optimization of a Variable Area Wing
by Haifeng Wang, Chao Zhang, Chen Wang and Jinhao Qiu
Aerospace 2025, 12(2), 125; https://doi.org/10.3390/aerospace12020125 - 7 Feb 2025
Cited by 3 | Viewed by 1376
Abstract
Mechanical metamaterials, especially the cells with a negative Poisson’s ratio (NPR), have received much attention since they offer more deformability potential in morphing wings. This paper proposes a strategy for regulating the deformation of metamaterial cells based on the deformation form of the [...] Read more.
Mechanical metamaterials, especially the cells with a negative Poisson’s ratio (NPR), have received much attention since they offer more deformability potential in morphing wings. This paper proposes a strategy for regulating the deformation of metamaterial cells based on the deformation form of the wing planform. The deformation of the wing shape was achieved through this strategy, with the main control factor of NPR. In light of the strategy, taking bi-directional re-entrant anti-tetrachiral (BRATC) metamaterial cells with NPR as an example, a scheme for BRATC metamaterial cells to regulate NPR is proposed. Driven by the same increase in wingspan (Δspan = 5%), the wing models, which are constructed based on the BRATC metamaterial cells with NPR characteristics at the different chord length increment at wing root (Δchord = 20%, 25%, and 30%), achieved an acceptable object-contour shape error (K = 1.29%, 1.40%, and 2.10%) with corresponding relative area increases (Ar = 15.5%, 18.13%, and 20.75%). Finally, the feasibility of the method is verified by experimentally measuring the deformation of the wing model. Full article
(This article belongs to the Section Aeronautics)
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33 pages, 7006 KB  
Article
Suitability of Mechanics-Based and Optimized Machine Learning-Based Models in the Shear Strength Prediction of Slender Beams Without Stirrups
by Abayomi B. David, Oladimeji B. Olalusi, Paul O. Awoyera and Lenganji Simwanda
Buildings 2024, 14(12), 3946; https://doi.org/10.3390/buildings14123946 - 11 Dec 2024
Cited by 6 | Viewed by 1338
Abstract
Accurate shear capacity estimation for reinforced concrete (RC) beams without stirrups is essential for reliable structural design. Traditional code-based methods, primarily empirical, exhibit variability in predicting shear strength for these beams. This paper assesses the effectiveness of mechanics-based and optimized machine learning (ML) [...] Read more.
Accurate shear capacity estimation for reinforced concrete (RC) beams without stirrups is essential for reliable structural design. Traditional code-based methods, primarily empirical, exhibit variability in predicting shear strength for these beams. This paper assesses the effectiveness of mechanics-based and optimized machine learning (ML) models for predicting shear strength in stirrup-less, slender beams using a dataset of 784 tests. Seven ML models—artificial neural network (ANN), support vector machine (SVM), decision tree (DT), random forest (RF), AdaBoost, gradient boosting (GBR), and extreme gradient boosting (XGB)—were compared against three mechanics-based models: the Tran’s NLT Model (2020), the Multi-Action Shear Model (MASM), and the Compression Chord Capacity Model (CCC). Among the ML models, XGB and GBR demonstrated the highest predictive accuracy, with coefficients of determination (R2) of 0.974 and 0.966, respectively, indicating strong correlation with experimental data. Performance metrics such as mean absolute error (MAE) and root mean squared error (RMSE) showed that XGB and GBR consistently outperformed other models, yielding lower error margins. Statistical analysis revealed minimal bias and variability in the predictions of XGB and GBR, with a coefficient of variation (CoV) of 14%, ensuring high reliability. The NLT model, the most accurate of the mechanical-based models, achieved a mean of 1.02 and a CoV of 16% for its model error, demonstrating reasonable prediction reliability but falling behind XGB and GBR in accuracy. With Shapley additive explanations (SHAPs), the beam width and depth were identified as primary predictors of shear strength, providing critical insights for enhancing design and construction practises. Full article
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9 pages, 5882 KB  
Article
Simplifying Mitral Valve Repair with Novel Premeasured Chordal Loops
by Daniel Shell, Natcha Bunwatcharaphan, Michael Seitz, Michael Rowland, Manoras Chengalath and Cheng-Hon Yap
J. Clin. Med. 2024, 13(23), 7029; https://doi.org/10.3390/jcm13237029 - 21 Nov 2024
Viewed by 922
Abstract
Background: The ”respect” approach to surgical mitral valve repair, which involves implanting artificial neochordae, is gaining increased adoption. Surgeons are possibly prone to error in the manual construction of neochordae, which can lead to prolonged cross-clamp times. Novel systems such as Chord-X Pre-Measured [...] Read more.
Background: The ”respect” approach to surgical mitral valve repair, which involves implanting artificial neochordae, is gaining increased adoption. Surgeons are possibly prone to error in the manual construction of neochordae, which can lead to prolonged cross-clamp times. Novel systems such as Chord-X Pre-Measured Loops (On-X Life Technologies, Inc., Austin, TX, USA) eliminate the need for manual neochordae construction, potentially simplifying the mitral repair procedure. However, clinical data on its use are currently limited to a small publication. Methods: We conducted a retrospective cohort study to evaluate the use of Chord-X loops in 40 consecutive patients who underwent surgery in Geelong, Victoria, Australia, between May 2020 and February 2024. Three surgeons participated in this study. Results: All patients were referred for severe mitral valve regurgitation secondary to myxomatous degeneration, with P2 prolapse being the most common pathology. Chord-X Pre-Measured Loops effectively corrected a variety of leaflet pathologies, including bi-leaflet disease, with a single set of loops sufficing in most patients. Intraoperative and follow-up echocardiographic assessments revealed no greater than mild mitral regurgitation in any patient, with 75% exhibiting no or trace mitral regurgitation. Conclusions: The Chord-X Pre-Measured Loops system demonstrated safety, efficacy, and reproducibility across all patients. Surgeons were able to easily adopt this technology without requiring additional training. We believe this technology offers a safe option for surgeons performing low-volume mitral repair surgeries. Full article
(This article belongs to the Special Issue Mitral Valve Surgery: Current Status and Future Challenges)
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18 pages, 5097 KB  
Article
An Interpolator for a Non-Uniform Rational B-Spline Curve with a High Efficiency and Accuracy Using Polynomial Representations
by Zhuiliang Huang and Jianxiong Chen
Actuators 2024, 13(11), 456; https://doi.org/10.3390/act13110456 - 13 Nov 2024
Cited by 1 | Viewed by 1050
Abstract
This paper introduces an efficient and accurate interpolator for NURBS (non-uniform rational B-spline) curves, addressing the challenge of regulating feedrate under machining accuracy and dynamic constraints, particularly at sensitive corners. A recursive matrix representation and polynomial conversion are utilized to enhance the computation [...] Read more.
This paper introduces an efficient and accurate interpolator for NURBS (non-uniform rational B-spline) curves, addressing the challenge of regulating feedrate under machining accuracy and dynamic constraints, particularly at sensitive corners. A recursive matrix representation and polynomial conversion are utilized to enhance the computation of NURBS curve intermediate points and derivatives. An improved adaptive planning method is presented to adjust the feedrate at sensitive corners, ensuring that chord error and dynamic constraints are met. The method integrates linear acceleration and deceleration stages to mitigate abrupt changes in acceleration and jerk. Additionally, a prediction–correction scheme-based interpolator is developed, employing an asynchronous mechanism to improve computational efficiency. The proposed method’s effectiveness and correctness are validated through simulation tests and machining experiments. Full article
(This article belongs to the Section Actuators for Manufacturing Systems)
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21 pages, 14366 KB  
Article
Acquiring the High-Precision Spectrum of Track Irregularity by Integrating Inclination in Chord Methods: Mathematics, Simulation, and a Case Study
by Pengjiao Wang, Fengqi Guo, Hong Zhang, Junhui Jin, Qiaoyun Liao and Yongfeng Yan
Mathematics 2024, 12(14), 2197; https://doi.org/10.3390/math12142197 - 12 Jul 2024
Cited by 4 | Viewed by 1466
Abstract
Accurate measurement of track irregularity and the corresponding spectrum is essential for evaluating the performance of transportation systems. Chord measuring methods can achieve fine accuracy but are limited by waveform distortion and a restricted range of recoverable wavelength. To address this, this work [...] Read more.
Accurate measurement of track irregularity and the corresponding spectrum is essential for evaluating the performance of transportation systems. Chord measuring methods can achieve fine accuracy but are limited by waveform distortion and a restricted range of recoverable wavelength. To address this, this work explores the effectiveness of integrating inclination data in chord-based measurement to obtain a higher precision and more reliable spectrum. Firstly, the theoretical principles and mathematics of the proposed method are described. We demonstrate that by utilizing inclinometer sensors, the measuring reference can be maintained throughout the measurement, therefore obtaining an authentic waveform of track irregularity. Adaptive technics are employed to examine and extract cumulative components in the measured signal, which also benefits the accuracy of spectral estimation. Error analysis is then conducted by simulated sampling. Furthermore, a case study of field measurement and numerical simulation via multi-body dynamics for a monorail system is presented. The results verify the accuracy and robustness of the proposed method, showing that it provides a broader range of recoverable wavelength, minimum parametric interference, and advantages of signal authenticity. The simulation results prove the significant effects of track irregularity on the dynamic response of the monorail system, hence revealing the value of the presented methods and results. Full article
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16 pages, 3058 KB  
Article
Fringe Projection Profilometry for Three-Dimensional Measurement of Aerospace Blades
by Ze Chen, Mulun Zhu, Chuanzhi Sun, Yongmeng Liu and Jiubin Tan
Symmetry 2024, 16(3), 350; https://doi.org/10.3390/sym16030350 - 14 Mar 2024
Cited by 9 | Viewed by 2333
Abstract
The aero-engine serves as the “heart” of an aircraft and is a primary factor determining the aircraft’s performance. Among the crucial components in the core of aero-engines, aero-engine compressor blades stand out as extremely important. They are not only numerous but also characterized [...] Read more.
The aero-engine serves as the “heart” of an aircraft and is a primary factor determining the aircraft’s performance. Among the crucial components in the core of aero-engines, aero-engine compressor blades stand out as extremely important. They are not only numerous but also characterized by a multitude of parameters, making them the most complex parts in an aero-engine. This paper aims to address the trade-off between accuracy and efficiency in the existing measurement methods for asymmetric blades. Non-contact measurements were conducted using a structured light system composed of a stereo camera and a DLC projector. The point cloud data of the blades are processed using methods such as the PCA (Principal Component Analysis) algorithm, binary search, and least squares fitting. This paper established a fringe-projection profilometry light sensor system for the multi-view measurement of the blades. High-precision rotary tables are utilized to rotate and extract complete spatial point cloud data of aviation blades. Finally, measurements and comparative experiments on the blade body are conducted. The obtained blade point cloud data undergo sorting and denoising processes, resulting in improved measurement accuracy. The measurement error of the blade chord length is 0.001%, the measurement error of blade maximum thickness is 0.895%, compared to CMM (Coordinate Measuring Machine), where the measurement error of chord is 0.06%. Full article
(This article belongs to the Section Engineering and Materials)
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24 pages, 5847 KB  
Article
Trajectory Generation Method for Serial Robots in Hybrid Space Operations
by Yan Xu, Yaqiu Liu, Xun Liu, Yiyang Zhao, Peibo Li and Pengjie Xu
Actuators 2024, 13(3), 108; https://doi.org/10.3390/act13030108 - 8 Mar 2024
Cited by 2 | Viewed by 2564
Abstract
The hybrid space of robots is divided into task space and joint space, with task space focused on trajectory-tracking accuracy, while joint space considers dynamic responsiveness and synchronization. Therefore, the robot-motion control systems need to effectively integrate both aspects, ensuring precision in task [...] Read more.
The hybrid space of robots is divided into task space and joint space, with task space focused on trajectory-tracking accuracy, while joint space considers dynamic responsiveness and synchronization. Therefore, the robot-motion control systems need to effectively integrate both aspects, ensuring precision in task trajectory while promptly responding to unforeseen environmental events. Hence, this paper proposes an online trajectory-generation method for robots in both joint and task spaces. In task space, a planning approach is presented for high-precision NURBS curves. The global NURBS curve is segmented into several rational Bezier curves, establishing local coordinate systems for control points. This ensures that all local control points meet the chord error constraint, guaranteeing trajectory accuracy. To address the feed rate dynamic planning issue for segmented curves, an improved online S-shape feed-rate scheduling framework is introduced. This framework dynamically adjusts the current execution speed to meet task requirements. In joint space, an offline velocity planning based on a time synchronization scheme and a multi-dimensional synchronization technique based on the principle of spatial-coordinate system projection are proposed. Building upon the offline scheme, it allows for the modification of the target state for any sub-dimension during the motion process, with the remaining dimensions adapting accordingly. Simulation and experimentation demonstrate that the two proposed online trajectory generations for robot motion spaces, while ensuring task trajectory accuracy, effectively handle external unexpected events. They ensure joint synchronization and smoothness, carrying significant practical implications and application value for the stability of robot systems. Full article
(This article belongs to the Special Issue Motion Planning and Control of Robot Systems)
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15 pages, 4584 KB  
Article
Development of a Calibration Model for Real-Time Solute Concentration Monitoring during Crystallization of Ceritinib Using Raman Spectroscopy and In-Line Process Microscopy
by Matea Gavran, Željka Ujević Andrijić, Nenad Bolf, Nikola Rimac, Josip Sacher and Damir Šahnić
Processes 2023, 11(12), 3439; https://doi.org/10.3390/pr11123439 - 16 Dec 2023
Cited by 3 | Viewed by 2031
Abstract
Raman spectroscopy is a useful tool for polymorphic form-monitoring during the crystallization process. However, its application to solute concentration estimation in two-phase systems like crystallization is rare, as the Raman signal is influenced by various changing factors in the crystallization process. The development [...] Read more.
Raman spectroscopy is a useful tool for polymorphic form-monitoring during the crystallization process. However, its application to solute concentration estimation in two-phase systems like crystallization is rare, as the Raman signal is influenced by various changing factors in the crystallization process. The development of a robust calibration model that covers all variations is complex and represents a major challenge for the implementation of Raman spectroscopy for in-line monitoring and control of the solution crystallization process. This paper describes the development of a Raman-based calibration model for estimating the solute concentration of the active pharmaceutical ingredient ceritinib. Several different calibration approaches were tested, which included both temperature and spectra of clear solutions and slurries/suspensions. It was found that the concentration of the ceritinib solution could not be accurately predicted when suspended crystals were present. To overcome this challenge, the approach was enhanced by including additional variables related to crystal size and solid concentration obtained via in-line process microscopy (chord-length distribution percentiles D10, D50 and D90) and turbidity. Partial least squares regression (PLSR) and artificial neural network (ANN) models were developed and compared based on root mean square error (RMSE). ANN models estimated the solute concentration with high accuracy, with the prediction error not exceeding 1% of the nominal solute concentration. Full article
(This article belongs to the Section Process Control and Monitoring)
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