Dynamic Equation and Numerical Simulation of Nonholonomic Multibody System in Quasi-Coordinate Form

2020 ◽  
Vol 09 (02) ◽  
pp. 121-128
Author(s):  
鑫 郝
Author(s):  
Jian He ◽  
Dalin Wu ◽  
Jisheng Ma ◽  
Hongkai Wang ◽  
Yuliang Yang

The influence law of a tracked vehicle grouser shape on the soil slide sinkage was investigated in this study via the numerical simulations and physical tests. A finite element model was built using the plastic incremental theory and generalized Hokker’s law, while constitutive soil parameters were obtained via triaxial test. The numerical simulation model was verified by physical test results. Based on the verified numerical simulation model, the influence law of the tracked vehicle grouser shape on the soil slide sinkage was determined. The results show that (1) shear displacement in the lateral direction can increase the soil sinkage in the vertical direction, which is referred to as the “slide sinkage”; (2) there is a linear relationship between the slide sinkage and the shear displacement; (3) the grouser width and height have a positive influence on the amount of slide sinkage. Under the same load, an increase in grouser width and height will cause an increase in the soil slide sinkage. Grouser thickness and pitch have a negative influence on the slide sinkage, and under the same load, increased grouser width and height cause a reduction in the soil slide sinkage. Grouser angle characteristics have no significant effect on the soil sinkage. The application of the slide sinkage in tracked vehicles traveling on soft roads was investigated in multibody system dynamics analysis software Recurdyn to confirm these observations. The results presented in this paper may provide a workable reference for the analysis of tracked vehicles in multibody system dynamics scenarios.


Author(s):  
Yoshitaka Takahashi ◽  
Nobuyuki Shimizu

Establishing a methodology of parallel computing which considers collaborative computation with other computer codes and/or softwares which may be installed in different computers is important for collaborative parallel computing with other softowares of multibody system which are developed under separate developing environments. In this paper, a fundamental parallel computing procedure is proposed by means of DAE approach in multibody dynamics. Then constraint errors in DAE are analyzed and a stabilization procedure of constrained errors is derived to be introduced into the proposed parallel computing procedure. By modifying standard DAE of multibody system, each subsystem is obtained by decomposing a total system into several subsystems so that parallel computation can be proceeded. The proposed method is effective for combining multibody subsystems which are developed in different developing environments. This paper describes a proposed procedure, and presents numerical simulation of a fundamental example to show the effectiveness of the proposed method.


2015 ◽  
Vol 2015 (2) ◽  
pp. 123-126 ◽  
Author(s):  
Владислав Языков ◽  
Vladislav Yazykov

Numerical simulation of train dynamics is a complex problem. It requires the application of different fields of mechanics such as multibody system dynamics, contact mechanics, fluid dynamics for finding solutions of adequate accuracy. The approach for the real time simulation of train dynamics by using the program package “Universal Mechanism” and its application to the development of train driving simulator are presented.


2011 ◽  
Vol 345 ◽  
pp. 361-364
Author(s):  
Ding Xuan Zhao ◽  
Yu Xin Cui ◽  
Tao Ni ◽  
Ying Zhao ◽  
Chao Fei Wang

Aiming at the problem of solving the constraint multibody system dynamic equation, a new method is proposed. This method takes the function of general coordinates to replace the second derivative of the general coordinates in the dynamic equation according to Taylor formula, and considers the converted dynamic equation and system constraint equation as a system of non-linear equations to find the solution by Newton method. Experimental results show that the proposed method is efficient and accurate for solving the constraint multibody system dynamic equation.


Author(s):  
J Zou ◽  
J Chen ◽  
G M Dong

The dynamic equation of a cracked rotor with initial deflection is modelled, which is based on the simple hinge crack model; the numerical simulation solutions are obtained from the model. The subharmonic resonance of the cracked rotor is analysed and the frequency components of the cracked rotor with initial deflection and without initial deflection are investigated. By simulation research, the influence of the stiffness variation, the initial deflection, the unbalance, the unbalance angle and the orientation of the initial deflection on the vibrational characteristics is studied, which can be used as the criterion for identification of a cracked rotor.


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