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Search Results (1,918)

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Keywords = mechanical oscillators

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18 pages, 4509 KB  
Article
Reinforcement Learning Stabilization for Quadrotor UAVs via Lipschitz-Constrained Policy Regularization
by Jiale Quan, Weijun Hu, Xianlong Ma and Gang Chen
Drones 2025, 9(10), 675; https://doi.org/10.3390/drones9100675 - 26 Sep 2025
Abstract
Reinforcement learning (RL), and in particular Proximal Policy Optimization (PPO), has shown promise in high-precision quadrotor unmanned aerial vehicle (QUAV) control. However, the performance of PPO is highly sensitive to the choice of the clipping parameter, and inappropriate settings can lead to unstable [...] Read more.
Reinforcement learning (RL), and in particular Proximal Policy Optimization (PPO), has shown promise in high-precision quadrotor unmanned aerial vehicle (QUAV) control. However, the performance of PPO is highly sensitive to the choice of the clipping parameter, and inappropriate settings can lead to unstable training dynamics and excessive policy oscillations, which limit deployment in safety-critical aerial applications. To address this issue, we propose a stability-aware dynamic clipping parameter adjustment strategy, which adapts the clipping threshold ϵt in real time based on a stability variance metric St. This adaptive mechanism balances exploration and stability throughout the training process. Furthermore, we provide a Lipschitz continuity interpretation of the clipping mechanism, showing that its adaptation implicitly adjusts a bound on the policy update step, thereby offering a deterministic guarantee on the oscillation magnitude. Extensive simulation results demonstrate that the proposed method reduces policy variance by 45% and accelerates convergence compared to baseline PPO, resulting in smoother control responses and improved robustness under dynamic operating conditions. While developed within the PPO framework, the proposed approach is readily applicable to other on policy policy gradient methods. Full article
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22 pages, 2922 KB  
Article
Fuzzy Adaptive PID-Based Tracking Control for Autonomous Underwater Vehicles
by Shicheng Fan, Haoming Wang, Changyi Zuo and Junqiang Han
Actuators 2025, 14(10), 470; https://doi.org/10.3390/act14100470 - 26 Sep 2025
Abstract
This paper addresses the trajectory tracking control problem of Autonomous Underwater Vehicles (AUVs). A comprehensive mathematical model is first established based on Newtonian mechanics, incorporating both kinematic and dynamic equations. By reasonably neglecting the minor influence of roll motion, a five-degree-of-freedom (5-DOF) underactuated [...] Read more.
This paper addresses the trajectory tracking control problem of Autonomous Underwater Vehicles (AUVs). A comprehensive mathematical model is first established based on Newtonian mechanics, incorporating both kinematic and dynamic equations. By reasonably neglecting the minor influence of roll motion, a five-degree-of-freedom (5-DOF) underactuated AUV model is derived. Considering the strong nonlinearities, high coupling, and time-varying hydrodynamic parameters typical of underwater environments, a fuzzy adaptive PID controller is proposed. This controller combines the adaptability of fuzzy logic with the structural simplicity and reliability of PID control, making it well-suited to the demanding requirements of AUV motion control. Extensive simulation experiments are conducted to evaluate the controller’s performance under various operating conditions. The results show that the fuzzy adaptive PID controller significantly outperforms conventional PID and standalone fuzzy logic controllers in terms of convergence speed and oscillation suppression. Furthermore, a theoretical stability analysis is provided to ensure that the proposed control system remains stable under time-varying fuzzy gain scheduling, confirming its effectiveness and potential for practical application in underwater vehicle control. Full article
(This article belongs to the Section Control Systems)
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17 pages, 2322 KB  
Article
Bifurcation in Stick–Slip-Induced Low-Frequency Brake Noises: Experimental and Numerical Study
by Deborah Audretsch, Daniel Wallner, Michael Frey and Frank Gauterin
Acoustics 2025, 7(4), 61; https://doi.org/10.3390/acoustics7040061 - 26 Sep 2025
Abstract
The term honk noise describes a low-frequency brake noise from approximately 400 Hz to 500 Hz which arises at extremely low speeds and low brake pressures. Manoeuvres like slowly releasing the brake at a hill or gently braking against the drag torque of [...] Read more.
The term honk noise describes a low-frequency brake noise from approximately 400 Hz to 500 Hz which arises at extremely low speeds and low brake pressures. Manoeuvres like slowly releasing the brake at a hill or gently braking against the drag torque of an automatic gearbox lead to honk noise. Under the same conditions, we observed creep groan at about 80 Hz. It has been shown that honk noise usually occurs after or alternates with creep groan. For this reason, it is assumed that honk noise—like creep groan—is a stick–slip-induced phenomenon and therefore shows highly nonlinear behaviour. In this paper, we present an approach for explaining the onset of honk noise under stick–slip excitation. A minimal model consisting of coupled mass oscillators excited by stick–slip is investigated. The model was able to reproduce the phenomena observed in the experiments. Thus, it is suitable for explaining the mechanisms leading to honk and estimate the influence of basic parameter variations. The lessons learned are a crucial step towards more realistic finite element or multi-body simulation methods, which have high potential for saving costs in the noise, vibration, and harshness (NVH) development process of brake systems. Full article
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20 pages, 6667 KB  
Article
Mechanism Analysis of Wide-Band Oscillation Amplification for Long-Distance AC Transmission Lines
by Ning Li, Chen Fan, Yudun Li, Biao Jin, Xuchen Yang and Yiping Yu
Energies 2025, 18(19), 5106; https://doi.org/10.3390/en18195106 - 25 Sep 2025
Abstract
The increasing integration of renewable energy has led to power systems characterized by a high penetration of renewable energy sources (RES) and power electronic devices (PEDs). However, wide-band oscillation phenomena caused by RES grid integration have emerged and propagated through transmission networks. Notably, [...] Read more.
The increasing integration of renewable energy has led to power systems characterized by a high penetration of renewable energy sources (RES) and power electronic devices (PEDs). However, wide-band oscillation phenomena caused by RES grid integration have emerged and propagated through transmission networks. Notably, large-scale renewable energy bases located in remote areas are typically connected to the main grid via long-distance AC transmission lines. These lines exhibit an inter-harmonic amplification effect, which may exacerbate the propagation and amplification of wide-band oscillations, posing significant risks to bulk power-grid stability. This paper establishes impedance models of long-distance AC transmission lines and asynchronous motors under wide-band oscillation frequencies, and derives equivalent line parameters mathematically to reveal the oscillation amplification problem of long-distance renewable energy oscillation transmission through AC transmission lines. A transfer coefficient is defined to quantify inter-harmonic current amplification. A single-machine-load model is developed in MATLAB/Simulink to validate the proposed model. Furthermore, the influence of line parameters on oscillation amplification is analyzed, and a suppression strategy is proposed. This study provides valuable insights for the parameter design of long-distance transmission lines in renewable energy integration scenarios, as it helps mitigate potential inter-harmonic amplification risks by reducing the peak values of the transfer coefficient. Full article
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17 pages, 10023 KB  
Article
Research on Hybrid Blue Diode-Fiber Laser Welding Process of T2 Copper
by Xiangkuan Wu, Na Qi, Shengxiang Liu, Qiqi Lv, Qian Fu, Yue Kang, Min Jin and Miaosen Yang
Metals 2025, 15(9), 1058; https://doi.org/10.3390/met15091058 - 22 Sep 2025
Viewed by 183
Abstract
This research proposes a non-penetration lap welding process for joining T2 copper power module terminals in high-frequency and high-power electronic applications, using a hybrid laser system combining a 445 nm blue diode laser and a 1080 nm fiber laser. The composite laser beam, [...] Read more.
This research proposes a non-penetration lap welding process for joining T2 copper power module terminals in high-frequency and high-power electronic applications, using a hybrid laser system combining a 445 nm blue diode laser and a 1080 nm fiber laser. The composite laser beam, formed by coupling a circular blue laser beam with a spot-shaped fiber laser beam, was oscillated along circular, sinusoidal, and 8-shaped trajectories to control weld geometry and joint quality. Results indicate that all trajectories produced U-shaped weld cross-sections with smooth toe transitions and good surface quality. Specifically, the circular trajectory provided uniform energy distribution and stable weld formation; the 8-shaped trajectory achieved a balanced width-to-depth ratio; and the sinusoidal trajectory exhibited sensitivity to welding speed, often resulting in uneven fusion width. Increased welding speed promoted grain refinement, but excessive speed led to porosity and poor surface quality in both 8-shaped and sinusoidal trajectories. Oscillating laser welding facilitated equiaxed grain formation, with the circular and 8-shaped trajectories yielding more uniform microstructures. The circular trajectory maintained consistent weld dimensions and hardness distribution, while the 8-shaped trajectory exhibited superior tensile strength. This work highlights the potential of circular and 8-shaped trajectories in hybrid laser welding for regulating weld microstructure, enhancing mechanical performance and ensuring weld stability. Full article
(This article belongs to the Special Issue Advanced Laser Welding and Joining of Metallic Materials)
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17 pages, 5007 KB  
Article
Experimental Comparative Analysis of Energy Production in HAWT with Bio-Inspired Active Oscillating Vortex Generators
by Hector G. Parra, Gabriel H. Castiblanco and Elvis E. Gaona
Energies 2025, 18(18), 5025; https://doi.org/10.3390/en18185025 - 22 Sep 2025
Viewed by 158
Abstract
This study presents a comparative analysis of horizontal-axis wind turbines (HAWTs) equipped with and without bio-inspired active oscillating vortex generators (VGs). The experimental investigation examines key aspects of mechanical integration and the resulting variations in aerodynamic behavior, demonstrating measurable improvements in electrical power [...] Read more.
This study presents a comparative analysis of horizontal-axis wind turbines (HAWTs) equipped with and without bio-inspired active oscillating vortex generators (VGs). The experimental investigation examines key aspects of mechanical integration and the resulting variations in aerodynamic behavior, demonstrating measurable improvements in electrical power output. The VGs were designed and implemented using servomechanisms and embedded control systems to enable oscillatory motion during operation. Experimental findings were validated against CFD simulations, indicating that the use of VGs increases annual energy production efficiency by 16.7%, primarily due to the stabilization of wake turbulence. While a reduction in output voltage was observed at wind speeds below 5 m/s, the VGs exhibited enhanced performance under variable wind conditions. These results highlight the potential of combining biomimetic design principles with electronically actuated flow-control devices to advance HAWT technology, improving energy efficiency and contributing to operational sustainability. Full article
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21 pages, 4203 KB  
Article
Hierarchical Prediction of Subway-Induced Ground Settlement Based on Waveform Characteristics and Machine Learning with Applications to Building Safety
by Xin Meng, Yongjun Qin, Liangfu Xie, Peng He and Liling Zhu
Buildings 2025, 15(18), 3390; https://doi.org/10.3390/buildings15183390 - 19 Sep 2025
Viewed by 247
Abstract
Ground settlement caused by urban subway construction can significantly impact surrounding buildings and underground infrastructure, posing risks to structural safety and long-term performance. Accurate prediction of settlement trends is therefore essential for ensuring building integrity and supporting informed decision-making during construction. This study [...] Read more.
Ground settlement caused by urban subway construction can significantly impact surrounding buildings and underground infrastructure, posing risks to structural safety and long-term performance. Accurate prediction of settlement trends is therefore essential for ensuring building integrity and supporting informed decision-making during construction. This study proposes a hierarchical prediction framework that incorporates waveform-based curve classification and machine learning to forecast ground settlement patterns. Monitoring data from the Urumqi Metro construction project are analyzed, and settlement curve types are identified using Fréchet distance, categorized into five distinct forms: inverse cotangent, exponential, multi-step, one-shaped, and oscillating. Each type is then matched with the most suitable predictive model, including the Autoregressive Integrated Moving Average (ARIMA), Attention Mechanism-enhanced Long Short-Term Memory (AM-LSTM), Genetic Algorithm-optimized Support Vector Regression (GA-SVR), and Particle Swarm Optimization-based Backpropagation neural network (PSO-BP). Results show that AM-LSTM achieves the best performance for inverse cotangent and large-sample exponential curves; ARIMA excels for small-sample exponential curves; PSO-BP is most effective for multi-step curves; and GA-SVR offers superior accuracy for one-shaped and oscillating curves. Validation on a newly excavated section of Urumqi Metro Line 2 confirms the model’s potential in enhancing the safety management of buildings and infrastructure in subway construction zones. Full article
(This article belongs to the Topic Resilient Civil Infrastructure, 2nd Edition)
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26 pages, 4192 KB  
Article
Improving Energy Efficiency and Traction Stability in Distributed Electric Wheel Loaders with Preferred-Motor and Load-Ratio Strategies
by Wenlong Shen, Shenrui Han, Xiaotao Fei, Yuan Gao and Changying Ji
Energies 2025, 18(18), 4969; https://doi.org/10.3390/en18184969 - 18 Sep 2025
Viewed by 199
Abstract
In the V-cycle of distributed electric wheel loaders (DEWLs), transport accounts for about 70% of the cycle, making energy saving urgent, while shovel-stage slip limits traction stability. This paper proposes a two-module control framework: (i) a preferred-motor transport strategy that reduces parasitic losses [...] Read more.
In the V-cycle of distributed electric wheel loaders (DEWLs), transport accounts for about 70% of the cycle, making energy saving urgent, while shovel-stage slip limits traction stability. This paper proposes a two-module control framework: (i) a preferred-motor transport strategy that reduces parasitic losses and concentrates operation in high-efficiency regions; and (ii) a load-ratio-based front–rear torque distribution for shoveling that allocates tractive effort according to instantaneous axle vertical loads so that each axle’s torque respects its available adhesion. For observability, we deploy a pre-calibrated lookup-table (LUT) mapping from bucket cylinder pressure to the front-axle load ratio, derived offline from a back-propagation neural network (BP-NN) fit. Tests on a newly developed DEWL show that, compared with dual-motor fixed-ratio control, transport-stage mechanical and electrical power drop by 18–37%, and drive-system efficiency rises by 6–13%. During shoveling, the strategy reduces the peak inter-axle slip from 22–35% to 13–15% and lowers the mean slip to 2.6–5.9%, suppressing sawtooth-like wheel-speed oscillations without sacrificing peak capacity. The method reduces parasitic energy flow, improves traction utilization, and is readily deployable. Full article
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24 pages, 2090 KB  
Article
Research on the Co-Evolution Mechanism of Electricity Market Entities Enabled by Shared Energy Storage: A Tripartite Game Perspective Incorporating Dynamic Incentives/Penalties and Stochastic Disturbances
by Chang Su, Zhen Xu, Xinping Wang and Boying Li
Systems 2025, 13(9), 817; https://doi.org/10.3390/systems13090817 - 18 Sep 2025
Viewed by 300
Abstract
The integration of renewable energy into the grid has led to problems such as low utilization rate of energy storage resources (“underutilization after construction”) and insufficient system stability. This paper studied the co-evolution mechanism of power market entities empowered by shared energy storage. [...] Read more.
The integration of renewable energy into the grid has led to problems such as low utilization rate of energy storage resources (“underutilization after construction”) and insufficient system stability. This paper studied the co-evolution mechanism of power market entities empowered by shared energy storage. Based on the interaction among power generation enterprises, power grid operators, and government regulatory agencies, this paper constructed a three-party evolutionary game model. The model introduced a dynamic reward and punishment mechanism as well as a random interference mechanism, which makes it more in line with the actual situation. The stability conditions of the game players were analyzed by using stochastic differential equations, and the influences of key parameters and incentive mechanisms on the stability of the game players were investigated through numerical simulation. The main research results showed the following: (1) The benefits of shared energy storage and opportunistic gains had a significant impact on the strategic choices of power generation companies and grid operators. (2) The regulatory efficiency had significantly promoted the long-term stable maintenance of the system. (3) Dynamic incentives were superior to static incentives in promoting cooperation, while the deterrent effect of static penalties is stronger than that of dynamic penalties. (4) The increase in the intensity of random disturbances led to strategy oscillation. This study suggested that the government implement gradient-based dynamic incentives, maintain strict static penalties to curb opportunism, and enhance regulatory robustness against uncertainty. This research provided theoretical and practical inspirations for optimizing energy storage incentive policies and promoting multi-subject coordination in the power market. Full article
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15 pages, 3956 KB  
Article
A Low-Voltage, Low-Power 2.5 GHz Ring Oscillator with Process and Temperature Compensation
by Dimitris Patrinos and George Souliotis
J. Low Power Electron. Appl. 2025, 15(3), 52; https://doi.org/10.3390/jlpea15030052 - 17 Sep 2025
Viewed by 259
Abstract
A ring-oscillator based voltage-controlled oscillator (VCO) architecture with reduced frequency drift across temperature and process variations is presented in this paper. The frequency stability is achieved through two dedicated compensation techniques: a temperature compensation circuit that generates a proportional-to-absolute-temperature (PTAT) current to mitigate [...] Read more.
A ring-oscillator based voltage-controlled oscillator (VCO) architecture with reduced frequency drift across temperature and process variations is presented in this paper. The frequency stability is achieved through two dedicated compensation techniques: a temperature compensation circuit that generates a proportional-to-absolute-temperature (PTAT) current to mitigate frequency shifts due to temperature changes, and a process compensation circuit that dynamically adjusts the frequency based on detected process corners. The proposed design is implemented in a 22 nm CMOS technology with a 0.8 V supply voltage and targets a nominal oscillation frequency of 2.5 GHz. The post-layout simulation results demonstrate a significant improvement in frequency stability, reducing temperature-induced frequency drift from 23.9% to a range of 5.4% over the −40 °C to 125 °C temperature range for the typical corner. Combining temperature and process compensation, the frequency drift is improved from 47.3% to better than 7.2%. The VCO also achieves a phase noise value about −80 dBc/Hz at a 1 MHz offset with an average power consumption of 380 µW, including the tuning mechanism and the compensation circuits. Full article
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35 pages, 6812 KB  
Article
Modeling Transient Waveforms of Offshore Wind Power AC/DC Transmission Faults: Unveiling Symmetry–Asymmetry Mechanisms
by Yi Zheng, Qi You, Yujie Chen, Haoming Guo, Hao Yang, Shuang Liang and Xin Pan
Symmetry 2025, 17(9), 1551; https://doi.org/10.3390/sym17091551 - 16 Sep 2025
Viewed by 255
Abstract
This paper aims to unveil the symmetry–asymmetry transition mechanisms in transient fault waveforms of offshore wind power AC/DC transmission systems, addressing the critical limitation of traditional simulation methods of the fact that they cannot characterize the dynamic evolution of system symmetry, such as [...] Read more.
This paper aims to unveil the symmetry–asymmetry transition mechanisms in transient fault waveforms of offshore wind power AC/DC transmission systems, addressing the critical limitation of traditional simulation methods of the fact that they cannot characterize the dynamic evolution of system symmetry, such as static impedance adjustment failing to capture transient asymmetry caused by parameter imbalance or converter control. It proposes a fault waveform simulation approach integrating mechanism analysis, scenario extraction, and model optimization. Key contributions include clarifying the quantitative links between key system parameters like submarine cable capacitance and inductance and symmetry–asymmetry characteristics, defining the transient decay rate oscillation frequency and voltage peak as core indicators to quantify symmetry breaking intensity; classifying typical fault scenarios into a symmetry-breaking type with synchronous three-phase imbalance and a persistent asymmetry type with zero-sequence and negative-sequence distortion based on symmetry evolution dynamics and revising grid-connection test indices such as lowering the low-voltage ride-through threshold and specifying the voltage type for different test objectives; and constructing a simplified embedded RLC second-order model with symmetry–asymmetry constraints to reproduce the whole process of symmetric steady state–fault symmetry breaking–recovery symmetry reconstruction. Simulation results verify the method’s effectiveness, with symmetry indicator reproduction errors ≤ 5% and asymmetric feature fitting goodness R2 ≥ 0.92, which confirms that the method can effectively reveal the symmetry–asymmetry mechanisms of offshore wind power fault transients and provides reliable technical support for improving offshore wind power fault simulation accuracy and grid-connection test reliability, laying a theoretical basis for the grid-connection testing of offshore wind turbines and promoting the stable operation of offshore wind power systems. Full article
(This article belongs to the Section Engineering and Materials)
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32 pages, 28257 KB  
Article
Reconstruction of Security Patterns Using Cross-Spectral Constraints in Smartphones
by Tianyu Wang, Hong Zheng, Zhenhua Xiao and Tao Tao
Appl. Sci. 2025, 15(18), 10085; https://doi.org/10.3390/app151810085 - 15 Sep 2025
Viewed by 218
Abstract
The widespread presence of security patterns in modern anti-forgery systems has given rise to an urgent need for reliable smartphone authentication. However, persistent recognition inaccuracies occur because of the inherent degradation of patterns during smartphone capture. These acquisition-related artifacts are manifested as both [...] Read more.
The widespread presence of security patterns in modern anti-forgery systems has given rise to an urgent need for reliable smartphone authentication. However, persistent recognition inaccuracies occur because of the inherent degradation of patterns during smartphone capture. These acquisition-related artifacts are manifested as both spectral distortions in high-frequency components and structural corruption in the spatial domain, which essentially limit current verification systems. This paper addresses these two challenges through four key innovative aspects: (1) It introduces a chromatic-adaptive coupled oscillation mechanism to reduce noise. (2) It develops a DFT-domain processing pipeline. This pipeline includes micro-feature degradation modeling to detect high-frequency pattern elements and directional energy concentration for characterizing motion blur. (3) It utilizes complementary spatial-domain constraints. These involve brightness variation for local consistency and edge gradients for local sharpness, which are jointly optimized by combining maximum a posteriori estimation and maximum likelihood estimation. (4) It proposes an adaptive graph-based partitioning strategy. This strategy enables spatially variant kernel estimation, while maintaining computational efficiency. Experimental results showed that our method achieved excellent performance in terms of deblurring effectiveness, runtime, and recognition accuracy. This achievement enables near real-time processing on smartphones, without sacrificing restoration quality, even under difficult blurring conditions. Full article
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23 pages, 2122 KB  
Review
The Rectification of ENSO into the Mean State: A Review of Theory, Mechanisms, and Implications
by Jin Liang, Nan Zhou, De-Zheng Sun and Wei Liu
Atmosphere 2025, 16(9), 1087; https://doi.org/10.3390/atmos16091087 - 15 Sep 2025
Viewed by 224
Abstract
The El Niño–Southern Oscillation (ENSO) is the most consequential mode of interannual climate variability on the planet, yet its prediction has become complex due to the inability of classical paradigms to explain the observed co-evolution of the tropical mean state and interannual variability [...] Read more.
The El Niño–Southern Oscillation (ENSO) is the most consequential mode of interannual climate variability on the planet, yet its prediction has become complex due to the inability of classical paradigms to explain the observed co-evolution of the tropical mean state and interannual variability on decadal timescales. This article synthesizes the extensive research on ENSO rectification, exploring a paradigm that resolves this causality problem by recasting ENSO as an active architect of its own mean state. Tracing the intellectual development of this theory, starting from fundamental concepts such as the “dynamical thermostat” and “heat pump” hypotheses, modern analysis has identified the core physical mechanism as nonlinear dynamical heating (NDH), which is rooted in nonlinear heat advection during asymmetric ENSO cycles. The convergence of evidence from forced ocean models and observational diagnostics confirms a rectified signal characterized by an off-equatorial spatial pattern, providing a primary mechanism for tropical Pacific decadal variability (TPDV). By establishing a coherent framework linking high-frequency asymmetry with low-frequency variations, this review lays the foundation for future research and emphasizes the critical role of the rectification effect in improving decadal climate prediction. Full article
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36 pages, 12116 KB  
Article
Deciphering Air Pollution Dynamics and Drivers in Riverine Megacities Using Remote Sensing Coupled with Geospatial Analytics for Sustainable Development
by Almustafa Abd Elkader Ayek, Mohannad Ali Loho, Wafa Saleh Alkhuraiji, Safieh Eid, Mahmoud E. Abd-Elmaboud, Faten Nahas and Youssef M. Youssef
Atmosphere 2025, 16(9), 1084; https://doi.org/10.3390/atmos16091084 - 15 Sep 2025
Viewed by 777
Abstract
Air pollution represents a critical environmental challenge in stressed riverine cities, particularly in regions experiencing rapid urbanization and inadequate emission management infrastructure. This study investigates the spatio-temporal dynamics of atmospheric pollution in Baghdad, Iraq, during 2012–2023, analyzing seven key pollutants (CO, CO2 [...] Read more.
Air pollution represents a critical environmental challenge in stressed riverine cities, particularly in regions experiencing rapid urbanization and inadequate emission management infrastructure. This study investigates the spatio-temporal dynamics of atmospheric pollution in Baghdad, Iraq, during 2012–2023, analyzing seven key pollutants (CO, CO2, SO2, SO4, O3, CH4, and AOD) using NASA’s Giovanni platform coupled with Google Earth Engine analytics. Monthly time-series data were processed through advanced statistical techniques, including Seasonal Autoregressive Integrated Moving Average (SARIMA) modeling and correlation analysis with meteorological parameters, to identify temporal trends, seasonal variations, and driving mechanisms. The analysis revealed three distinct pollutant trajectory categories reflecting complex emission–atmosphere interactions. Carbon monoxide exhibited dramatic decline (60–70% reduction from 2021), attributed to COVID-19 pandemic restrictions and demonstrating rapid responsiveness to activity modifications. Conversely, greenhouse gases showed persistent accumulation, with CO2 increasing from 400.5 to 417.5 ppm and CH4 rising 5.9% over the study period, indicating insufficient mitigation efforts. Sulfur compounds and ozone displayed stable concentrations with pronounced seasonal oscillations (winter peaks 2–3 times summer levels), while aerosol optical depth showed high temporal variability linked to dust storm events. Spatial analysis identified pronounced urban–rural concentration gradients, with central Baghdad CO levels exceeding 0.40 ppm compared to peripheral regions below 0.20 ppm. Linear concentration patterns along transportation corridors and industrial zones confirmed anthropogenic source dominance. Correlation analysis revealed strong relationships between meteorological factors and pollutant concentrations (atmospheric pressure: r = 0.62–0.70 with NO2), providing insights for integrated climate–air quality management strategies. The study demonstrates substantial contributions to Sustainable Development Goals across four dimensions (Environmental Health 30%, Sustainable Cities and Climate Action 25%, Economic Development 25%, and Institutional Development 20%) while providing transferable methodological frameworks for evidence-based policy interventions and environmental monitoring in similar stressed urban environments globally. Full article
(This article belongs to the Special Issue Remote Sensing and GIS Technology in Atmospheric Research)
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14 pages, 2087 KB  
Article
The Second Approximation of the Averaging Method in the Dynamics of Controlled Motions of Vibration Systems with Dry Friction
by Igor Zeidis, Nikolay Bolotnik and Klaus Zimmermann
Axioms 2025, 14(9), 694; https://doi.org/10.3390/axioms14090694 - 12 Sep 2025
Viewed by 259
Abstract
The second approximation of the averaging method is constructed in the problem of motion along a horizontal rough plane of a vibration-driven mechanical system consisting of a carrying body (robot housing) in contact with the plane and two internal masses oscillating vertically and [...] Read more.
The second approximation of the averaging method is constructed in the problem of motion along a horizontal rough plane of a vibration-driven mechanical system consisting of a carrying body (robot housing) in contact with the plane and two internal masses oscillating vertically and horizontally according to a harmonic law with the same frequency. In the absence of a phase shift in the first approximation, the directed motion of the system as a single whole (locomotion) cannot be detected. In the second approximation, an expression for the average velocity of motion is obtained. The values of velocity calculated using the obtained formula are in good agreement with the results of numerical calculations. The described technique for constructing the second approximation can be used to solve other problems with dry friction. Full article
(This article belongs to the Special Issue Trends in Dynamical Systems and Applied Mathematics)
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