Simulation and Experimental Research on Tooth Power Skiving Cutting of Double-circular-arc Internal Gears by Wang Feng, Yang Shufeng, Xu Wenbo, Zhang Weijie, Yu Wentao

“…Based on the principle of power skiving, the relative positions of the cutting tool and the workpiece are sorted out, and a mathematical model for double-circular-arc internal gear tooth turning is established. …”
Get full text

Hopf Bifurcation on a Cancer Therapy Model by Oncolytic Virus Involving the Malignancy Effect and Therapeutic Efficacy by F. Adi-Kusumo, L. Aryati, S. Risdayati, S. Norhidayah

“…We introduce a mathematical model that shows the interaction dynamics between the uninfected and the infected cancer cell populations with oncolytic viruses for the benign and the malignant cancer cases. …”
Get full text

Credit Index Screening Model of Family Farms and Family Ranches Based on Fuzzy Bayesian Theory of Depth Weighting by Zhanjiang Li, Qinjin Zhang

“…In this paper, the characteristics of the first one is based on fuzzy set theory, the definition of fuzzy linguistic assessment of different default set, family ranches characteristic is converted to the corresponding index of pasting with triangular fuzzy mathematical model, and then through the inner method converting triangular fuzzy number into accurate output data to deal with the blur and uncertainty about the state of the fuzzy default transformation is realized. …”
Get full text

Sensitivity-enhancing feedback control–based damage detection in delaminated smart composite plates by Yan Guo, Yanan Jiang, Zhenghua Qian, Bin Huang

“…We first introduce the adopted improved layerwise theory–based mathematical model for delamination modeling with finite element implementation. …”
Get full text

Numerical Simulation of Shale Gas Multiscale Seepage Mechanism-Coupled Stress Sensitivity by Xun Yan, Jing Sun, Dehua Liu

“…Additionally, a mathematical model comprising multiscale, geomechanics, and adsorption phenomenon was proposed to characterize gas flow in the shale reservoir. …”
Get full text

Analysis of the Isothermal Elastohydronamic Lubrication of Inclined Double-roller Enveloping Hourglass Worm Drive by Li Jinkuan, Liu Zaixin, Zhang Cui, Zhu Yan

“…To improve the lubrication performance,antiscuffing capacity and efficiency of worm gear pairs drive,the isothermal elastohydrodynamic lubrication（ EHL） simplified model and isothermal line contact mathematical model are established based on meshing theory of inclined double-roller enveloping hourglass worm drive and the theory of EHL. …”
Get full text

Development of Spherical Actuator with L-Shaped Yoke by Yu-Wen Huang, Hao-Wen Chung, Yu-Ming Chen, Chien-Sheng Liu, Ming-Fu Chen

“…In the design process, SOLIDWORKS 2018 software is used for design modeling and assembly simulation, ANSYS Maxwell 2018 software is employed for magnetic circuit analysis and electromagnetic simulation, while MATLAB is utilized for analyzing the dynamic characteristics through a mathematical model. A prototype was also fabricated, and torque measurement experiments were conducted to verify the performance and feasibility of the proposed design.…”
Get full text

A New Fractional Model for Cancer Therapy with M1 Oncolytic Virus by Majda El Younoussi, Zakaria Hajhouji, Khalid Hattaf, Noura Yousfi

“…The aim of this work is to propose and analyze a new mathematical model formulated by fractional differential equations (FDEs) that describes the dynamics of oncolytic M1 virotherapy. …”
Get full text

Sliding Mode Output Feedback Control of a Flexible Rotor Supported by Magnetic Bearings by A. S. Lewis, A. Sinha, K. W. Wang

“…It is assumed that the number of states is greater than the number of sensors. A mathematical model of the rotor]magnetic bearing system is presented in terms of partial differential equations. …”
Get full text

Presenting a one-objective optimization model to determine the reliability of the components of a coherent system by Elham Basiri

“…In both examples, the required values are determined to increase the reliability of the system components.Originality/Value: This research, using a mathematical model and numerical calculations with the help of R software, examines the optimization problem for a coherent system.…”
Get full text

Modeling and Analysis of HIV and Cholera Direct Transmission with Optimal Control by Kumama Regassa Cheneke, Koya Purnachandra Rao, Geremew Kenassa Edessa

“…In this study, a mathematical model of the human immunodeficiency virus (HIV) and cholera co infection is constructed and analyzed. …”
Get full text

Modelling epidemiological dynamics with pseudo-recovery via fractional-order derivative operator and optimal control measures. by Samson Olaniyi, Furaha M Chuma, Ramoshweu S Lebelo, Richard C Ogbonna, Sulaimon F Abimbade

“…In this study, a new deterministic mathematical model based on fractional-order derivative operator that describes the pseudo-recovery dynamics of an epidemiological process is developed. …”
Get full text

Development of Wrist Rehabilitation Device based on Coaxial Spherical Parallel 3RRR Mechanism by Shuaixu Ji, Yongguo Liang, Huimin Hao, Li'na Li, Jiahai Huang

“…On this basis，the inverse kinematics mathematical model of the wrist rehabilitation device is established，and the relationship between the motor input angle and the output pose of the robot end is obtained，and the robot working space is determined，the maximum angle of rotation around the <italic>X</italic> axis is 32°，the maximum angle of rotation around the <italic>Y</italic> axis is 37°，and the full rotation around the <italic>Z</italic> axis. …”
Get full text

Pre-Service Teachers’ Cognitive and Metacognitive Processes in Integrated STEM Modeling Activity by Mehmet Ali Kandemir, Ilyas Karadeniz

“…Pre-service teachers were asked to solve a complex problem that requires mathematical model eliciting activities and report their solution. …”
Get full text

THERMAL DEFORMATION BEHAVIOR AND FLOW STRESS MODEL OF EH40 STEEL by JIN HeRong, DUAN ChangXin, DAI Chao

“…A hyperbolic sine model with ZeneHollomon parameters is adopted,the thermal deformation equation,activation energy of thermal deformation,and mathematical model of Z parameters were obtained. It is verified that the average error between the calculated value and the experimental value of the established constitutive relation is 3. 13%,which can well reflect the actual hot deformation behavior of EH40 ship-board steel.…”
Get full text

PRINCIPLE AND EXPERIMENT SIMULATION OF THE TELESCOPIC CASING ANTI-SWING DEVICE OF OFFSHORE CRANE by HAN GuangDong, CHEN HaiQuan, SUN YuQing, ZHANG JinNan, WANG ShengHai

“…The telescopic sleeve device was introduced. A mathematical model of the ship,crane and telescopic sleeve is established. …”
Get full text

Control of Limit Cycle Oscillation in a Three Degrees of Freedom Airfoil Section Using Fuzzy Takagi-Sugeno Modeling by Douglas Domingues Bueno, Luiz Carlos Sandoval Góes, Paulo José Paupitz Gonçalves

“…The proposed methodology is developed for the three degrees of freedom typical section airfoil considering aerodynamic forces from Theodorsen’s theory. The mathematical model is written in the state space representation using rational function approximation to write the aerodynamic forces in time domain. …”
Get full text

Maximal productivity rate of threading machine operations by Ryspek Usubamatov, Darina Kurganova, Sarken Kapayeva

“…The physics of metal-cutting technologies is complex and cannot be described by one mathematical model because of different natures. Researchers derived an empirical formula of their tool life that describes the properties of the metal-cutting tools depending on many mechanical factors mentioned above. …”
Get full text

A Fractional Model for the Dynamics of Smoking Tobacco Using Caputo–Fabrizio Derivative by Belaynesh Melkamu, Benyam Mebrate

“…In this paper, we propose a Caputo–Fabrizio fractional derivative mathematical model consisting of smoker, people exposed to secondhand smoker, people exposed to thirdhand smoker, and quitters. …”
Get full text

Wheel and Shoe Composite Stair Climbing Wheelchairs and Dynamic Analysis of Wheel Shoe Switching by Zhu Hua, Ge Haiwen

“…In response to the current issues of wheel and shoe composite ladder wheelchairs, such as tire interference with the track, and collision between the wheelchair and the top platform during ladder climbing, a wheel shoe composite stair climbing wheelchair with a swing arm track chassis as the stair climbing mechanism and a new wheel shoe switching scheme is designed. Its mathematical model is established, the centroid coordinates, the vertical displacement curve of the center of mass for climbing stairs are analyzed, and the dynamic change curve of the swing arm motor and electric push rod during the four stages of wheel shoe switching are obtained. …”
Get full text