Energy dissipation and storage in iron under plastic deformation (experimental study and numerical simulation) by A. Kostina, A. Iziumova, O. Plekhov

“…Dissipation and stored energies was calculated from processed experimental data of the surface temperature obtained by infrared thermography. An original mathematical model describing the process of mesoscopic defects accumulation was used for numerical simulation of the quasistatic loading of iron samples and for calculation of theoretical value of the stored energy. …”
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Kinematics Research and Simulation Analysis of Parallel Mechanism Embossing Machine by Zhanxian Li, Jianli Xu, Jinfeng Huang

“…The kinematics mathematical model of the parallel mechanism embossing machine is established and the analytical form of the kinematics forward and inverse solutions is deduced to obtain its position， velocity and acceleration. …”
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Conformable Fractional-Order Modeling and Analysis of HIV/AIDS Transmission Dynamics by Esam Y. Salah, Bhausaheb Sontakke, Mohammed S. Abdo, Wasfi Shatanawi, Kamaleldin Abodayeh, M. Daher Albalwi

“…The mathematical model of the dynamics of HIV/AIDS infection transmission is developed by adding the set of infected but noninfectious persons, using a conformable fractional derivative in the Liouville–Caputo sense. …”
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Research on Characteristic of Hydrodynamic Bearing with the Surface Micro-pit by Shaolin Zhang, Lingxue Li, Boqian Xia

“…Taking the hydrodynamic bearing with surface micro-pits as the research object， a mathematical model of oil film characteristics is established based on the flow balance of the micro-pits， and the static and dynamic characteristics and stability parameters of the bearing are obtained with the depth and area of the micro-pits. …”
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Effect of Surface Roughness on Characteristics of Textured Hydrodynamic Bearings by Hongtao Wang, Shaolin Zhang, Shuai Yang

“…For a radial hydrodynamic bearing with surface micro texture，the Gauss random rough surface is used to simulate the surface roughness of the bearing bush. A mathematical model of bearing oil film characteristics is established under the coupling of surface micro texture and roughness. …”
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Analysis of the state of the gas market in the context of the aggravation of the Ukrainian crisis by E. A. Rechkina, A. M. Terekhov

“…Based on the results of the study, a development forecast of the natural gas market was made founded on the constructed economic and mathematical model, which showed an increase in prices in the next few months. …”
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A Fast Finite-Difference Time Domain Simulation Method for the Source-Stirring Reverberation Chamber by Wenxing Li, Chongyi Yue, Atef Elsherbeni

“…In this paper, we present a fast simulation method, which is able to significantly decrease the simulation time of the source-stirring reverberation chamber. The mathematical model of this method is given in detail and home-made FDTD code is employed to conduct the simulations and optimizations as well. …”
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Robust Finite-Time Terminal Sliding Mode Control for a Francis Hydroturbine Governing System by Fengjiao Wu, Junling Ding, Zhengzhong Wang

“…The robust finite-time control for a Francis hydroturbine governing system is investigated in this paper. Firstly, the mathematical model of a Francis hydroturbine governing system is presented and the nonlinear vibration characteristics are analyzed. …”
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STUDY ON OPTIMIZATION OF REMANUFACTURING OF HYDRAULIC SUPPORT COLUMN by XIE Miao, CAO LiPing, TIAN Bo, LIU Xuan

“…A parameters optimization of a hydraulic support column remanufacturing method was studied in this paper. The mathematical model of the radial shrinkage of the coating was established by using the constitutive equation,the geometric equation and the relation between the linear expansion coefficient and the temperature variation. …”
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Hybrid discrete-continuous model of invasive bladder cancer by Eugene Kashdan, Svetlana Bunimovich-Mendrazitsky

“…This type of cancer starts in theurothelium and progresses towards surroundingmuscles and tissues, causing metastatic disease.Our mathematical model of invasive BC consists of two coupledsub-models: (i) living cycle of the urothelial cells (normal and mutated) simulatedusing discrete technique of Cellular Automata and (ii) mechanism oftumor invasion described by the system of reaction-diffusionequations. …”
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Design and Research of a Variable Ratio Transmission Mechanism of Electric Power Steering System by Xueyun Li, Shuang Liang

“…Finally， the improved scheme is analyzed by establishing mathematical model， and the physical consumption of driver is calculated. …”
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DESIGN AND INTENSITY ANALYSIS OF PORTABLE ADVERTISEMENT CLEANING MACHINE by LI Hao, GE YanYan, TIAN ChenYao, LIU HaiMa, ZHU WenJie, XIAO MaoHua

“…Driven by electricity,the brush rotates at the speed of 3000 r / min.The static method is used to analyze the stress of the brush and the guide rod,the mathematical model of brush is established,and the optimum solution of brush size and motor power is obtained by using MATLAB. the three-dimensional solid model of the cleaning machine is established by pro / E,static and modal analysis of brush are completed using ANSYS. …”
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Dynamic Response of Doubly-Curved Shallow Shells to Periodic External Action by Alexey A. Semenov

“…The paper proposes to extend the previously proposed approach to modeling the process of deformation of thin shells to a class of problems with periodic effects. A mathematical model is used based on the Timoshenko - Reissner hypotheses, taking into account transverse shears, geometric nonlinearity and rotational inertia. …”
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Resistance Characteristics of Riparian Plants in South China:A Case Study of Shenzhen River by ZHENG Shaoping, TONG Xiaolei, HU Haonan

“…The water-blocking characteristics of riparian plants are an important factor affecting the flood discharge capacity of the river.Taking the Shenzhen River as an instance,this paper adopts image analysis remote sensing to analyze the changes in the growth range of riparian plants from 2008 to 2018.Based on the measured flood data and a one-dimensional mathematical model,research combinations of different channel composite roughness are set to quantitatively analyze the influence of the riparian plants on the composite roughness of the river section and then study the degree of influence of riparian plants on flood flow velocity and flood stage.The study shows that from 2008 to 2018,the riparian plants in the middle and lower reaches of the Shenzhen River expanded by nearly 30 m into the river channel.The composite roughness of the river channel increased by about 0.005.In flood conditions of once in 200,100,and 50 years,the water level of the river channel increased by 1.1 m,0.7 m,and 0.5 m,respectively.…”
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Modeling the dynamics of two-factor socio-economic states through mappings close to extension by V. V. Egorov

“…A new way of developing a mathematical model of the dynamics of the factors forming the considered social, political, economic, ecological or other space of life activity of society, depending on local changes in parameters affecting these factors, is presented. …”
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Structural Design and Trajectory Optimization of Hexapod Robot with Fewer Actuators by Yin Zhipeng, Hou Yu, Dai Chenchao, Dai Mengwan

“…The requirements of foot movement and obstacle crossing are obtained. The mathematical model of the foot trajectory of the hexapod robot with fewer actuators is established.The trajectory optimization model of foot trajectory for the stability of hexapod robot movement is established considering five types of constraints-the rod length,transmission performance,geometric structure,obstacle and boundary conditions. …”
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Dynamic Modeling and Optimal Control for Complex Systems with Statistical Trajectory by Lingli Guo, Zhengguang Xu, Ye Wang

“…Firstly, a novel discrete-time nonlinear working state class dynamic mathematical model of sintering machine is constructed by K-means cluster method for the local data, which overcomes difficulties of modeling by mechanism and describes the class change against the point movement. …”
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SAPA-based approach for defending DoS attacks in cloud computing by Meng YUE, Kun LI, Zhi-jun WU

“…Denial of service (DoS) attack was one of the major threats to cloud computing.Security access path algorithm (SAPA) used node route table (NRT) to compose security access path.It simplified role nodes of traditional secure overlay services (SOS),and periodically updated role nodes,and cached security access paths.Therefore,SAPA was more appropriate for cloud computing to defend DoS attacks.Based on the turn routing architecture of cloud computing,the mathematical model of SAPA was built and its performance was analyzed in theory.The performance of SAPA was tested in OMNeT++ experimental platform.Also,the Test-bed experiments were performed to evaluate the effectiveness of SAPA for defending DoS attack.Experimental results show that comparing with SOS,SAPA can degrade the impact of communication success rate caused by DoS attack effectively,and guarantees the access delay small enough.…”
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Research of Variable Speed Characteristic of Transmission Mechanism of Rod-Gear Type Pulsation CVT by Chen Suifan, Dong Zhifeng

“…Based on the analysis of transmission mechanism of rod-gear type Pulse Continuously Variable Transmission（ P-CVT）,the closed vector equations of equivalent plane six-bar mechanism is built,and the kinematic mathematical model of angular displacement,angular velocity and angular acceleration of connecting rod,rocker and meshing point to input shaft axis of single phase transmission mechanism is constructed by the matrix method. …”
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METHOD FOR MODIFYING PROFILE OF CYCLOIDAL WHEEL CONSIDERING COMPENSATION FOR ELASTIC DEFORMATION by QIN ZhengZheng, WANG Quan, ZHAO DaXing, WANG Jun, ZENG LiLei

“…The coordinate transformation principle was used to fit the profile of the cycloid after elastic deformation,and the theoretical calculation of the contact force of the cycloid tooth surface was carried out. And the mathematical model of the profile modification of the cycloid with elastic deformation characteristics was established,which was solved by genetic algorithm and compared with the modification method without considering elastic deformation.The results show that compared with the modification method without considering elastic deformation,the fitting degree of the actual working tooth profile and the angle modification tooth profile is improved to 1. 52 times,and the contact force of the tooth surface is reduced to8. 27%,thus verifying the rationality and feasibility of the method.…”
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