Study on Mathematical Model of Fractional Differential Method for Structural Design Dynamics Simulation of Lower Limb Force Movement Step Structure Based on Sanda Movement

2020 ◽  
Vol 29 (3) ◽  
Author(s):  
Yuefeng Pu
Keyword(s):  
Mathematical Model ◽  
Lower Limb ◽  
Structural Design ◽  
Differential Method ◽  
Dynamics Simulation ◽  
Step Structure ◽  
Fractional Differential

scholarly journals A mathematical model of the fractional differential method for structural design dynamics simulation of lower limb force movement step structure based on Sanda movement

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Chenguang Li ◽  
Dimah Alahmadi ◽  
Mohammed Yousuf Abo Keir
Keyword(s):  
Mathematical Model ◽  
Lower Limb ◽  
Virtual Prototype ◽  
Differential Method ◽  
Lower Limbs ◽  
Dynamics Simulation ◽  
Experimental Simulation ◽  
Prototype Model ◽  
Mechanical Structure ◽  
Fractional Differential

Abstract In order to promote the development of sports training robots and improve the training of lower limbs in Sanda, a new mechanical structure of Sanda training robots is designed. The thesis combines the mathematical method of fractional differential equations to design a new type of omnidirectional moving platform mechanism, which realises the movement in any direction in the plane and can turn at any radius during the movement. From the perspective of kinematics, the mathematical relationship between wheel speed and robot trajectory is analysed, and a virtual prototype technology combined with Pro/E and Adams joint modelling and simulation method is used to establish an accurate and reliable virtual prototype model. The experimental simulation results show that the designed virtual prototype model is consistent with the mathematical model, which verifies the practical feasibility of the mechanical structure of the lower limb power generation robot for Sanda movement, and provides a reliable basis for the establishment of the physical prototype.

Kinematics and Dynamics Simulation Research for Roller Coaster Multi-Body System

2011 ◽  
Vol 421 ◽  
pp. 276-280 ◽  
Author(s):  
Ge Ning Xu ◽  
Hu Jun Xin ◽  
Feng Yi Lu ◽  
Ming Liang Yang
Keyword(s):  
Structural Design ◽  
3D Model ◽  
Structure Design ◽  
Dynamics Simulation ◽  
Body System ◽  
Load Spectrum ◽  
Roller Coaster ◽  
Simulation Research ◽  
Calculation Results ◽  
Multi Body

To assess the roller coaster multi-body system security, it is need to extract the running process of kinematics, dynamics, load spectrum and other features, as basis dates of the roller coaster structural design. Based on Solidworks/motion software and in the 3D model, the calculation formula of the carrying car velocity and acceleration is derived, and the five risk points of the roller coaster track section are found by simulation in the running, and the simulation results of roller coaster axle mass center velocity are compared with theoretical calculation results, which error is less than 4.1%, indicating that the calculation and simulation have a good fit and providing the evidence for the roller coaster structure design analysis.

Design and Experimental Analysis of Novel Refractometer Based on Photoelectric Sensor Technology

2011 ◽  
Vol 383-390 ◽  
pp. 5211-5215
Author(s):  
Yin Lin Li ◽  
Zhong Hua Huang ◽  
Kai Bo Hu
Keyword(s):  
Mathematical Model ◽  
Experimental Analysis ◽  
Differential Method ◽  
Theoretical Solution ◽  
Experimental Results ◽  
Sensor Technology ◽  
Photoelectric Sensor ◽  
Better Than

A novel refractometer based on photoelectric sensor technology and differential method is proposed. Sensing principle and mathematical model are introduced; structure and key parameters of sensing probe are designed through detail calculation. Theoretical solution shows resolution reaches order of 10-5. Preliminary experiments verify the feasibility of the design, experimental results show stability error better than ±1.02×10-4, error caused by temperature is 6.65×10-6/°C.

scholarly journals Memory effects on the proliferative function in the cycle-specific of chemotherapy

2021 ◽  
Author(s):  
Najma Ahmed ◽  
Dumitru Vieru ◽  
Fiazud Din Zaman
Keyword(s):  
Mathematical Model ◽  
Differential Equations ◽  
Fractional Differential Equations ◽  
Numerical Solutions ◽  
Classical Model ◽  
Cell Mass ◽  
Time Derivative ◽  
Fractional Model ◽  
Fractional Differential ◽  
Mathcad Software

A generalized mathematical model of the breast and ovarian cancer is developed by considering the fractional differential equations with Caputo time-fractional derivatives. The use of the fractional model shows that the time-evolution of the proliferating cell mass, the quiescent cell mass, and the proliferative function are significantly influenced by their history. Even if the classical model, based on the derivative of integer order has been studied in many papers, its analytical solutions are presented in order to make the comparison between the classical model and the fractional model. Using the finite difference method, numerical schemes to the Caputo derivative operator and Riemann-Liouville fractional integral operator are obtained. Numerical solutions to the fractional differential equations of the generalized mathematical model are determined for the chemotherapy scheme based on the function of "on-off" type. Numerical results, obtained with the Mathcad software, are discussed and presented in graphical illustrations. The presence of the fractional order of the time-derivative as a parameter of solutions gives important information regarding the proliferative function, therefore, could give the possible rules for more efficient chemotherapy.

Design of a New Multi-Channel High-Low Pressure Micro-Ejection System

2011 ◽  
Vol 189-193 ◽  
pp. 4313-4317
Author(s):  
Wei Yang ◽  
Qiang Yin ◽  
Kun Wang Niu ◽  
Jiao Zhang ◽  
Wen Dong Zhang
Keyword(s):  
Mathematical Model ◽  
Numerical Analysis ◽  
Structural Design ◽  
Structural Characteristics ◽  
Low Pressure ◽  
Classical Trajectory ◽  
Design Methods ◽  
Analysis And Design ◽  
Bullet Velocity

According to the structural characteristics of the multi-channel high-low pressure micro-ejection system,this paper sets up mathematical model of the trajectory based on the classical trajectory theory,makes numerical analysis to prove the rationality of the structural design,tests the pressure and bullet velocity of the launching system.The results show that the analysis and design methods of the multi-channel high-low pressure micro-ejection system are reasonable and reliable.

Design and Simulation of Fully Mechanized Hydraulic Support

2014 ◽  
Vol 644-650 ◽  
pp. 199-202
Author(s):  
Pei Qin Wang ◽  
Zeng Shun Xu ◽  
Zuo Feng Sun ◽  
Hui Yuan Jiang
Keyword(s):  
Mechanical Properties ◽  
Mathematical Model ◽  
Mechanical Model ◽  
Simulation Analysis ◽  
Virtual Prototype ◽  
Dynamics Simulation ◽  
Prototype Model ◽  
Design Calculation ◽  
Hydraulic Support ◽  
Element Analysis

Based on theoretical calculation, virtual prototype technology and the method of finite element analysis, the fully mechanized hydraulic support is designed and simulated. Firstly, the four-link mechanism of hydraulic support mechanical model and mathematical model are established, the demission is confirmed by design calculation of structure. Secondly, through the establishment of rigid parameterized virtual prototype model of the system, dynamics simulation analysis and research is finished based on ADAMS on the mechanical properties. Finally, based on FEA, the modal calculation of key components is completed by using ANSYS.

Research on Vibration Bench of Vehicle Suspension by Finite Element

2013 ◽  
Vol 312 ◽  
pp. 258-261
Author(s):  
Xian Yu Liu
Keyword(s):  
Mathematical Model ◽  
Finite Element ◽  
Stress Field ◽  
Structural Design ◽  
Transformation Process ◽  
Vehicle Suspension

By establishing and analyzing mathematical model for vibration bench of vehicle suspension, this paper optimized and simulated vibration bench of vehicle suspension based on finite element. As a result, the paper got stress field and its distribution during transformation process and set a foundation for structural design of vibration bench of suspension.

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