Neural Sliding Mode Adaptive PD Tracking Control of Omnidirectional Mobile Robots by Zhang Kaiwen, Li Guoli, Xu Jiazi, Wang Qunjing, Wen Yan

“…A proportional plus derivative (PD) adaptive tracking control strategy based on neural sliding mode is proposed for the interference of unknown factors in the mathematical model of four-wheel omnidirectional robots. …”
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Size Optimization of Cooperative Robots for High Flexibility in Target Space by Yuanyuan Li, Xiangquan Liu, Fei Ma

“…Firstly， the kinematics of the optimized cooperative robot is analyzed， the mathematical model is established， and the reachable workspace is solved； then the target space is selected with the robot's task path as the reference， the flexibility comprehensive evaluation index is defined as the optimization goal， and the particle swarm algorithm is used to optimize the key size parameters； finally， the distribution of flexible working points in the task space before and after optimization is compared. …”
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Recoil and Vibration in an Archery Bow Equipped with a Multi-Rod Stabilizer by Igor Zaniewski

“…The aim of this research is to create a mechanical and mathematical model of a multi-rod stabilizer for the sport archery bow and to analyze its capability to damp disagreeable recoil and vibration of the bow during internal ballistic motion. …”
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Analytical Solution of Nonlinear Dynamics of a Self-Igniting Reaction-Diffusion System Using Modified Adomian Decomposition Method by Felicia Shirly Peace, Narmatha Sathiyaseelan, Lakshmanan Rajendran

“…A mathematical model of the dynamics of the self-ignition of a reaction-diffusion system is studied in this paper. …”
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Nonlinear Dynamical Analysis of Hydraulic Turbine Governing Systems with Nonelastic Water Hammer Effect by Junyi Li, Qijuan Chen

“…A nonlinear mathematical model for hydroturbine governing system (HTGS) has been proposed. …”
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Structural Design and Motion Analysis of the Wearable Knee Joint Exoskeleton by Li Jing, Zhou Jianjun, Zhao Yiqin, Wen Zhiye

“…The angle change curve of the knee joint is consistent with the CGA database through the Matlab/Simulink simulation and the correctness of mathematical model is verified. The lower limb exoskeleton can walk normally through the dynamic simulation of ADAMS,the correctness of the driving function of the knee joint is verified and the torque curve of knee joint is prepared for the control. …”
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Study on the Design of Tall Building Escape Device based on Escapement Mechanism by Zhang Liping

“…The parameters design and structural design of escapement mechanism are completed. The mathematical model of dynamics analysis is established for escapement mechanism. …”
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Synchronous Modification Design for Bilateral Tooth Surface of Spiral Bevel Gear by Dual Duplex Spread Blade Method by Jianjun Yang, Xinfang Hu, Hua Zhang, Shaowu Nie

“…The target tooth surface is constructed to meet with the meshing performance by predetermining of the meshing parameters. The mathematical model and constraint function of the target tooth surface errors based on the optimization of machining tool setting are constructed. …”
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Research of Clamping Force Fuzzy Control of CVT based on Safety Factor Method by Guo Wei, Chen Ya, Zhang Wu, Lu Zhengxiong

“…In order to reduce system clamping force,the clamping force fuzzy calculation method is proposed on the basis of absolute safety coefficient method. The mathematical model and simulation model of engine,CVT and vehicle are established,and the simulation test of starting condition,rapid acceleration condition,rapid deceleration condition and cycle condition show that the clamping force average decrease of about 5% and the fuel economy of complete vehicle through the fuzzy calculation of clamping force is improved.…”
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Design and Experiment of a New Type of Multi-position Rehabilitation Training Lower Limb Exoskeleton by Guoxin Xu, Bingqi Jia, Xiao Wei, Wenlong Bi, Huaqiang Zhang, Yanjun Zhao

“…A new type of multi-position rehabilitation training lower limb exoskeleton is designed， a mathematical model of the lower limb exoskeleton is established， and kinematics simulation and analysis are carried out. …”
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Measuring. Monitoring. Management. Control by Yu.M. Scryabin

“…Materials and methods. A mathematical model of the operation of the electrostatic location system was used to analyze the error. …”

Calculation of the quantity of oxygen required for maintenance of the predetermined temperature of steel during its boiling period in a steel-melting arc furnace by I. G. Biokh, S. A. Fomenko, S. M. Kozlov, O. G. Khopova, M. P. Guljaev, M. G. Pshonik

“…The article provides а mathematical model of steel smelting in a steel-melting arc furnace with provision for calculation of necessary quantity of oxygen for maintenance of preset temperature of steel when arcs are switched off It shows that oxygen supply during the arcs disconnection period secures energy consumption reduction.…”
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Power Flow Analysis of the Main Reducing Gear of Coaxial Counter-rotating High-speed Helicopter by Zhang Shifei, Chen Peng, Wu Wenmin, Xia Fuchun, Liu Lei

“…Firstly,the unite analysis method of gear is introduced into the analysis of the helicopter main reducing gear,and the mathematical model of gear is built. Then,all types of power flow of the helicopter main reducing gear are summarized. …”
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Provident garbage collection algorithm for SSD storage system by Xuezhen TU, Zhenjiang Huang, Zhengguang CHEN

“…A predictive based proactive garbage collection algorithm was proposed.Firstly,the data was separated according to different heat factors,then the upper and lower predictions were performed on the number of different types of page allocation requests (PAR) that would be reached in the future.While satisfying the page allocation request lower prediction,the PAR upper prediction requirement was maximally satisfied,the WA problem was optimized,and invalid effective data migration was reduced,thereby maximizing the garbage collection utility.A mathematical model was defined for this problem,and an algorithm for obtaining the approximate optimal solution was given.The applicable scenario of the model was analyzed.The practical results show that the algorithm can obtain the maximum benefit and can significantly improve the performance of SSD and reduce the cost.…”
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On the global dynamics of a model for tumor immunotherapy by Denise E. Kirschner, Alexei Tsygvintsev

“…Understanding the dynamics of human hosts and tumors is of critical importance. A mathematical model wasdeveloped that explored the immune response to tumors that was used to study a special type of treatment[3]. …”
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Optimized Design of a Wedge-type Overrunning Clutch Structural Parameter by Wang Honglin, Su Yi, Guo Xiancheng, Chen Yuanwen, Huang Shuai

“…According to the requirements of overrunning coupler to the floating micro wave power generating device,the friction loss rate of wedge- type overrunning clutch at overrunning states is analyzed and the parameters mathematical models of the wedge- type overrunning clutch are built. …”
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Modeling and Experimental Analysis of Grinding Surface Roughness of Face Gear by Ming Xingzu, Gao Qin, Xiao Lei, Long Yu, Liu Jinhua

“…The mathematical model of face gear grinding disc wheel is established according to the gear tooth surface formation mechanism analysis of surface roughness and morphology analysis of the disc wheel surface. …”
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Low viral persistence of an immunological model by Suqi Ma

“…To analyze this phenomena quantitatively, a mathematical model which is described by DDEs with relative to cytotoxic T lymphocyte (CTL) response to Hepatitis B virus is used. …”
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Lightweight Design and Production Practice of the Heavy Truck Drive Axle by Yan Xiaolou, Qiu Yang, Li Youli

“…Using the systematic layout thinking, the mathematical model is scientifically built, a complete lightweight design axle is formed through CAE simulation analysis and CAM collaborative production, and the prototype test is conducted. …”
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Intra-Skip in Inter-Frame Coding of H.264/AVC by Hui Su

“…Aiming at intra-skip, this paper proposes a novel mathematical model for intra-skip in inter-frame coding to alleviate the complexity of the process; the model provides remarkable performance increment by cutting down encoding time while accompanying very minor bitrate increase. …”
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