Compressed Sensing-Based Order Analysis for Blade Tip Timing Signals Measured at Varying Rotational Speed by Suiyu Chen, Yongmin Yang, Haifeng Hu, Fengjiao Guan, Guoji Shen, Faming Yang

“…Its feasibility comes from the sparsity of BTT vibration signals in the order domain. The mathematical model for the proposed method was built, and the optimizing principles for sensor number and sensor arrangement were given. …”
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Flight Dynamics Modeling and Dynamic Stability Analysis of Tilt-Rotor Aircraft by Ke Lu, Chunsheng Liu, Chunhua Li, Renliang Chen

“…The aim of this paper is to develop a nonlinear flight dynamics mathematical modeling method of tilt-rotor aircraft and investigate the dynamic stability characteristics of tilt-rotor aircraft. …”
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A DSP-Controlled Permanent Magnet Synchronous Motor Control System for Hybrid Vehicles by Qiang Fu

“…Combined with the basic equation of PMSM and the transmission system of the hybrid vehicle, the mathematical model of PMSM-EV was established. The experimental results show that the maximum torque current ratio control method applied to hybrid vehicles can effectively reduce the loss, improve the efficiency and dynamic performance, and solve the endurance problem of hybrid vehicles to a certain extent. …”
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Networking Method for the Structure of a Large Modular Deployable Space Antenna by Dake Tian, Xiaodong Fan, Junwei Zhang, Lu Jin, Rongqiang Liu, Yu Zhang

“…On the basis of basic theories of differential geometry, analytical geometry, and robotics, the mathematical model of an envelope circle and that of its center are established. …”
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Modeling critical dosing strategies for stromal-induced resistance to cancer therapy by Anna K. Kraut, Colleen M. Garvey, Carly Strelez, Shannon M. Mumenthaler, Jasmine Foo

“…Disentangling these phenomena is critical for understanding treatment response and designing effective dosing strategies. We propose a mathematical model for a common tumor-stromal interaction motif where stromal cells secrete factors that promote drug resistance. …”
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DYNAMIC MODEL OF THE BUDGET OF AN EDUCATIONAL INSTITUTION by Antonina V. Ganicheva, Aleksey V. Ganichev

“…For the study of complex socio-economic systems in a number of cases the method of mathematical modeling is the most acceptable. One of the most famous models in economics is the Keynes model.  …”
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Design of distributed implementation and performance analysis of asymptotic optimality for cooperative two-way relaying networks by LI Chun-guo1, ZHONG Chong-xian2, YANG Lv-xi1, PAN Yue3

“…The realization scheme in the distributed manner was researched for the cooperation transmission of the multi-ple two-way relays,moreover the performance analysis of the asymptotic optimality was also presented.First of all,an upper-bound function was obtained for the true value of the average mean squared error of the whole system by the SNR approximations.Furthermore,a mathematical model was established based on this bound function.Secondly,an optimal solution was obtained for the established problem by using the matrix transform and mathematical derivations.Finally,the realization scheme was obtained in the distributed manner.The proposed scheme avoided the strict requirement that every relay must know the full channel state information（CSI） of the whole networks,while can easily achieve the gain of the relays cooperation by requiring every relay know its local CSI consisted of its forward and backward CSI.There-fore,the proposed scheme not only avoided the central control as required by the central manner and the large amount of the feedback overheads,but also achieved much gain.Theory analysis shows that the proposed scheme is asymptotically optimal.…”
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Prediction model of gear tooth flank fracture considering interfacial friction by ZHI YanFeng, WANG XiaoPeng, CAO ZhiGang, GUAN HongJie, YU FeiPeng, FAN RuiLi, LI HaiXia, WAN ShaoXiong

“…Based on the contact theory and elastic mechanics, a mathematical model for calculating the internal field stress of gear teeth with interfacial friction and the stress intensity with hardness gradient was established, and the risk prediction of gear tooth flank fracture was carried out. …”
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Multi-Sided Delayed Impulsive Feedback Method for Controlling Chaos and Reducing Loss Ratio in Switched Arrival System with Switching Time Greater than 0 by Ming Chen, Xueshuai Zhu

“…The corresponding mathematical model and switching time are described. In order to be closer to the actual industrial control systems, the switching time is changed from 0 to greater than 0. …”
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Dichroism-sensitive photoacoustic imaging for in-depth estimation of the optic axis in fibrous tissue by Camilo Cano, Amir Gholampour, Marc van Sambeek, Richard Lopata, Min Wu

“…Herein, we present a mathematical model for the in-depth analysis of the DS-PA signal of biological samples, focusing on estimating tissue orientation. …”
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A METHODOLOGY FOR THE EVALUATION OF FUNCTIONAL URBAN AREAS IN ROMANIA by ANTONIO TACHE, MONICA TACHE

“…This methodology is redefining functional urban areas and is based on the study of polycentric ESPON 1.1.1 and on a statistical-mathematical model for assessing the Functional Urban Areas (FUA-s), using a spatial database in ARCGIS 10.2.2. …”
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Optimum renewable oil for biodiesel production as integer programming problem by Lutfu Sagbansua, Figen Balo

“…The aim of the existent research is to choose the optimal plant oil as bio-based diesel through utilizing mathematical modeling technique. Amon plant-based oil kinds, the question of choosing the optimal plant oil is assessed, utilizing many criteria concerned with their features. …”
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Arsenic Retention on Technosols Prepared with Nanoparticles and Ferric Soil from Mine Drainage Water by Darío R. Bolaños-Guerrón, Viviana P. Sánchez-Gómez, Johanna Paz, Andrés R. Izquierdo, Carina Stael, María Balseiro-Romero

“…The technosol was experimentally characterized using adsorption isotherms and uptake kinetics. Besides, a mathematical model was developed using Vensim® to scale the process and predict the dynamic behavior of the adsorbent. …”
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Lightweight Design of Transmission Gear of an Aircraft Gun Ammunition Box based on SIMP Material Interpolation Model by Guanming Huang, Mingmin Liu, Hongliang Yang, Haiyang Zhang, Yongfeng Fan, Feng Xie, Shengli Ge

“…In order to enhance the performance of fighter， and realize the aim of lightweight design of aircraft gun， taking the transmission gear of a certain aircraft gun ammunition box as the research object， through topological optimization method of material interpolation model based on SIMP（solid isotropic material with realization）， a topological optimization mathematical model for the density of gear structural unit as design variable， minimum flexibility as objective function， the percentage of volume fraction before and after optimization and the structural balance equation as constraint functions is established， the topology optimization of ammunition box transmission gear is studied. …”
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Study on the Home Health Caregiver Scheduling Problem under a Resource Sharing Mode considering Differences in Working Time and Customer Satisfaction by Heping Wang, Yuke He, Yan Li, Fuyu Wang

“…Consequently, in this paper, a corresponding mathematical model is established and a hybrid algorithm that combines the whale optimization algorithm (WOA) with the particle swarm optimization (PSO) algorithm is proposed to solve the model. …”
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Design and Development of the Transmission Shaft Electromagnetic Brake and Half Shaft Wet Brake Integrated System in Heavy Vehicle by Ma Hongge

“…In order to solve the traditional heavy vehicle braking system braking performance are not stable,installation space limitations,a brake integrated system scheme through arranging electromagnetic brake on the drive axle dynamic input shaft and layout wet brake Inside the integral drive axle is proposed,the mathematical model of integrated brake system is established through the analysis of the layout scheme of device structure and working principle,and through the experimental methods to verify the feasibility of integrated brake system.The results show that the half shaft wet brake torque presents increased trend,at the end of the braking,the brake torque of the brake integrated system is provided solely by the half shaft wet brake,the electromagnetic brake torque first increased and then decreased,the torque at the end of the braking become to zero; the brake integrated system braking torque decreases with the half shaft speed decreases,a certain fluctuation exists during the period; in the braking process of brake integrated system,the wet brake load can be significantly reduced and the oil temperature can be controlled in a suitable range.…”
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Traction Control of Four Wheel Drive Heavy Duty Construction Machinery based on Flexible Work Surface by Chen Feng

“…To further study the property of heavy-duty construction machinery operation,the flexible work surface and the front and rear axle torque distribution are introduced,the construction machinery mathematical model of four-wheel drive heavy duty is established,a heavy-duty construction machinery traction integrated control strategy based on flexible work surface and the front and rear axle torque distribution control is got.The results show that by reducing the accelerator position can significantly eliminate the driving wheel excessive slip phenomenon in the motion process of the heavy duty machinery on the flexible work surface,the wheel speed is maintained near the target speed.After the introduction of traction control system,the wheel speed variation can be well suppressed within the range of fluctuation in the target drive wheel speed and the excessive slip phenomenon within the speed control range.After the introduction of the traction control system to eliminate obvious differences between the front and rear axle drive wheel speed,the front and rear axle drive force distribution is more reasonable.…”
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Tooth Profile Modification Method of RV Reducer Cycloid Gear Aiming at Optimizing Carrying Capacity by Zongwen An, Panlong Jia, Qiang Wang, Zhili Li, Mingyuan Lei

“…Based on the RV-60E reducer as an optimization example，the mechanical analysis of the cycloid needle wheel transmission part is carried out first，and the mathematical model of the cycloid wheel shape is established with the goal of reducing the maximum bearing capacity of the needle teeth. …”
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Research on Meshing Efficiency of Gear Pairs Based on Dynamic Sliding Friction Factors by Fu Jingbo, Qiao Mingming, Guo Zhili, Chen Jiangyi

“…In order to study the meshing efficiency of the gear pair under the actual working conditions, the force and kinematics of the contact surface of the gear pair are analyzed, the lubrication state of the gear pair is judged by combining the theory of elastohydrodynamic lubrication, and the relationship between the elastohydrodynamic lubrication and the mixed lubrication state is established. The mathematical model of the dynamic friction factor is used to obtain the friction factor of the gear pair at different meshing positions along the meshing line. …”
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A Kind of FM-BEM Penalty Function Method for a 3D Elastic Frictional Contact Nonlinear System by Chunxiao Yu, Dinghui Jing, Chang Fu, Yanfang Yang

“…By using the least square method and penalty function method, an optimization mathematical model and a mathematical programming model with a penalty factor are established for the node_face frictional contact nonlinear system. …”
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