Instability Condition Derivation for Hydraulic AGC System under Pressure Closed-Loop Control by Yong Zhu, Guangpeng Li, Shengnan Tang, Wanlu Jiang, Pengfei Qian, Zhi Zheng, Zhijian Zheng

“…In this work, for each component of the HAGC system, the mathematical model was established. And on the basis of the linking relation of various elements, we derived the incremental transfer model of the PCL system. …”
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Research on High-Precision Attitude Control of Joint Actuator of Three-Axis Air-Bearing Test Bed by Zhiming Chen, Zhouhuai Luo, Yunhua Wu, Wei Xue, Wenxing Li

“…A combined actuator including flywheel, air-conditioner thruster, and automatic balancing device is designed, and a hierarchical saturation PD control algorithm is proposed to improve the control accuracy and anti-interference ability of the three-axis air-bearing test bed. Finally, the mathematical simulation of the proposed control algorithm is carried out, and the physical verification is carried out on the three-axis air-bearing test bed. …”
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Analysis of Total Suspended Solid at Merah Putih Beach, Bangkalan Regency by Dwi Putra Ardhana Satria, Dwi Siswanto Aries

“…The advanced empirical modelling tests reveal the Polynomial mathematical equation had a smaller RMSE and a larger R square of 82,34 mg/l and 0.4468. …”
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Mechanistic Features of Nanodiamonds in the Lapping of Magnetic Heads by Xionghua Jiang, Zhenxing Chen, Joy Wolfram, Zhizhou Yang

“…This is the first study to develop mathematical models for nanodiamond embedment. Such models can predict the optimum parameters for particle embedment. …”
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Heuristic Algorithm for Cross-Platform Credit Risk Transmission Based on Hybrid Strategies by Zhang Xiaodong, Shen Hong, Wang Tao, Li Yazhi

“…Besides, a novel community model is applied to predict the credit risk areas in advance. In detail, the mathematical association structure between credit entities is firstly given in the algorithm, and the breadth first search algorithm is used to find the hierarchical nodes on the credit risk transmission paths. …”
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Performance Assessment of Hybrid Fibre-Reinforced Concrete (FRC) under Low-Speed Impact: Experimental Analysis and Optimized Mixture by Abbas Sadeghian, Taleb Moradi Shaghaghi, Yaghoub Mohammadi, Hossein Taghipoor

“…In addition, the calculated R2 values and normal probability graphs showed a fairy accurate correlation between the results of the experimental and mathematical approaches. Finally, this study evaluated the fracture surface, adhesion of the fibres to the concrete, and degradation modes of the fibres to pave the way for optimal utilization of these hybrid FRCs.…”
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Research on the spatial state and electrical distance variation of overhead transmission lines with changes in foundation by Shuai Wang, Xiaokai Meng, Siqing Xu, Zhumao Lu, Yang Bai

“…These factors include the degree of tower sinking, the elasticity and tension of the overhead lines, the positions and heights of adjacent towers, wind force, temperature, and other environmental elements. A mathematical model was developed to describe the positional changes of overhead lines following tower sinkage, and formulas were used to calculate the new suspension point positions and electrical distance variations of the wires. …”
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Considering the Carbon Penalty Rates to Optimize the Urban Distribution Model in Time-Varying Network by Yuanyuan Ji, Shoufeng Ji, Tingting Ji

“…In this paper, the time-varying network in urban distribution is mathematically described and calculated. By considering the carbon penalty rate, the distribution optimization model is analyzed to formulate the optimal urban distribution scheme for enterprises. …”
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A Simple Method to Design and Analyze Dynamic Vibration Absorber of Pipeline Structure Using Dimensional Analysis by Mehrdad Shemshadi, Mahdi Karimi, Farzad Veysi

“…A beam-based dynamic vibration absorber (beam DVA) is a device comprising an L-shaped beam with a concentrated mass at its free end that can be used to absorb and dissipate vibrations in the pipeline. In this paper, a mathematical equation is extracted to design the beam DVA using the dimensional analysis (DA) method and data recorded from 120 experimental tests. …”
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A new efficient genetic algorithm-Taguchi-based approach for multi-period inventory routing problem by Amin Farahbakhsh, Amir Saman Kheirkhah

“…In this paper, we present a mathematical model and a novel genetic algorithm for solving the multi-period inventory routing problem. …”
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How Influential Are Mental Models on Interaction Performance? Exploring the Gap between Users’ and Designers’ Mental Models through a New Quantitative Method by Bingjun Xie, Jia Zhou, Huilin Wang

“…A total of 32 college students participated and their performance was recorded. Through mathematical analysis of the results, three findings were derived. …”
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An Electro Breakdown Damage Model for Granite and Simulation of Deep Drilling by High-Voltage Electropulse Boring by Changping Li, Longchen Duan, Songcheng Tan, Victor Chikhotkin, Xiaohui Wang

“…At present, there are no suitable physical mathematical models that describe electropulse boring (EPB) processes under confining pressures. …”
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Geometry and Space-Time Extent of Pion Emission Region at FCC Energies by V. A. Okorokov

“…Estimations for charged particle density and its critical value allow the possibility of lasing behavior for secondary pions in nucleus-nucleus collisions at FCC energy. The mathematical formalism is presented for study of the peak shape of correlation function for general case of central-symmetrical Lévy–Feldheim distribution.…”
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Design and Test of Quad-Bundle Spacer Damper Based on a New Rubber Structure by Zhenbing Zhao, Bin Liu, Shengchun Liu, Dachuan Zhang

“…Aiming at improving the handling efficiency and acquiring the satisfactory antivibration effect and damping performance, a quad-bundle spacer damper of 500 kV extra high voltage transmission lines was designed and developed based on a new rubber structure. Firstly, a mathematical vibration model of the spacer damper was constructed, and the structures of the defect-prone parts of the spacer damper were analyzed. …”
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Feedback Control of Injection Rate of the Injection Molding Machine Based on PID Improved by Unsaturated Integral by An Yang, Weigang Guo, Tianlong Han, Congrong Zhao, Hongwei Zhou, Jianping Cai

“…Then, the improved PID was applied to the injection speed control of an injection molding machine, which is usually controlled using conventional PID control that featured difficulty in mathematical modeling, a nonlinear relationship between the input and the output, and high system complexity. …”
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Turbine Airfoil Optimization Using Quasi-3D Analysis Codes by Sanjay Goel

“…A key contribution of the paper is the development of metrics that emulate the perception of the human designer in visually evaluating the Mach Number distribution. A mathematical representation of the evaluation criteria coupled with a parametric geometry generator enables the use of formal optimization techniques in the design. …”
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Strategically Selecting Behaviors That Impact the Problem: An Approach Drawn from Social Marketing by Laura A. Sanagorski Warner, John M. Diaz

“…Using an approach drawn from social marketing to develop activities aimed at changing or maintaining people’s behavior, Extension professionals and other practitioners can prioritize behaviors by mathematically calculating anticipated weights that will help focus efforts around key behaviors with the potential to make the greatest impact. …”
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The Effects of Poverty on Health Outcomes in Nigeria: An ARDL Approach by Abdulrahman Abdulganiyu Idris

“…In order to simulate how poverty affects health outcomes in Nigeria, the study utilized mathematical models to determine whether Nigeria health results (CO2 emission, patients per physician, life expectancy rate, and poverty rate) responds to poverty shock. …”
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An Improved Grasshopper Optimizer for Global Tasks by Hanfeng Zhou, Zewei Ding, Hongxin Peng, Zitao Tang, Guoxi Liang, Huiling Chen, Chao Ma, Mingjing Wang

“…The grasshopper optimization algorithm (GOA) is a metaheuristic algorithm that mathematically models and simulates the behavior of the grasshopper swarm. …”
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Application of System Identification for Modeling the Dynamic Behavior of Axial Flow Compressor Dynamics by Marco P. Schoen, Ji-Chao Lee

“…A proposed subspace system identification algorithm is used to extract three mathematical models: relating the tip air injection to the overall dynamics of the compressor and to the flow dynamics at the tip of the compressor blade and relating the movement of the throttle to the overall compressor dynamics. …”
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