A Comparative Study of Approaches to Dynamics Modeling of Contact Transitions in Multibody Systems

Author(s):  
Seyed Ali Modarres Najafabadi ◽  
Jo´zsef Ko¨vecses ◽  
Jorge Angeles

This paper presents detailed discussions and a potential grouping of various approaches to the dynamic analysis of the transition phase in multibody contacts. The methods considered are able to address the general case of multiple-point contact. The main grouping principle relies on the fundamental unilateral nature of the contact between two bodies in a multibody system. Based on this, three main classes of modeling techniques are considered.

Author(s):  
Yu Chen ◽  
Kailei Liu ◽  
Rui Qiu ◽  
Chengtao Yu ◽  
Xianfei Xia ◽  
...  

A comparative study of dynamic analysis for planar multibody systems with ball bearing joints is conducted in this study. The transmission mechanism is used as the exemplar case for illustrating the effect of ball bearing joints on the dynamic behavior of multibody systems. To reflect the energy loss, the models of continuous contact force and modified Coulomb’s friction are considered in the kinematic equations for the multibody system with ball bearing joint. With this, the dynamic characteristics of the mechanism are studied. Meanwhile, an experimental platform is built to generate the test data for demonstrating the effectiveness and correctness of the proposed method. Moreover, the effects of driving speed and clearance size on the dynamic behavior of the multibody system are investigated. The numerical results indicate that the dynamic behavior of the mechanical system is sensitive to the variation of the design parameters and the selection of parameters can affect greatly the accuracy of the mechanism with clearance joints.


Author(s):  
Seyed Ali Modarres Najafabadi ◽  
József Kövecses ◽  
Jorge Angeles

This paper introduces a new interpretation of the energetic coefficient of restitution, especially applicable to contact involving multibody systems. This interpretation generalizes the concept of the energetic coefficient of restitution and allows for consideration of simultaneous multiple-point contact scenarios. Such a generalization is obtained by an analysis of energy absorption and restitution during impact, using a decomposition technique, which exactly decouples the kinetic energy associated with the normal and tangential directions of the contact pairs. The main advantages of the new definition and its potential applications are highlighted.


Author(s):  
Deming Wang ◽  
David Beale

Abstract A new computer aided analysis method for frictionless interference impact problems between two bodies in a constrained multibody system is presented in the paper, which can be used to perform interference analysis and motion design of multibody systems. A virtual contact joint concept is used to detect interference between two bodies and calculate the jump in the body momenta, velocity discontinuities, rebounds and system motion after the interference impact analysis. The interference surfaces can be any geometric element, such as point, line segment, are and circle described by the joint coordinates of the virtual contact joint. The method are very useful to predict and determine the interference time, the types and positions of two impact surfaces. System motion after the interference can be controlled by changing some dynamic parameters in the multibody system.


Author(s):  
Seyed Ali Modarres Najafabadi ◽  
Jo´zsef Ko¨vecses ◽  
Jorge Angeles

This paper introduces a novel approach to dynamics analysis of contacts involving multibody systems, and particularly the case of simultaneous multiple-point impact. This approach is based on an analysis of energy absorption and restitution during impact, using a decomposition technique, which exactly decouples the kinetic energy associated with the normal and tangential directions of the contact pairs. Such decomposition leads to a generalized definition of the energetic coefficient of restitution, which allows for consideration of simultaneous multiple-point contact scenarios. The main advantages of this new definition and the potential applications of the said technique are highlighted.


2020 ◽  
Vol 53 (3) ◽  
pp. 283-288
Author(s):  
Muhammad Atayyab Shahid ◽  
Tariq Mairaj Khan ◽  
Kevin Lontin ◽  
Kanza Basit ◽  
Muhammad Khan

2015 ◽  
Vol 236 ◽  
pp. 26-30 ◽  
Author(s):  
Michał Batsch ◽  
Tadeusz Markowski ◽  
Wojciech Homik

Paper presents the method for obtaining maximum contact pressure of Novikov gears. Described surface strength calculation method is based on Hertz theory of two bodies being in point contact. What’s more the influence of gear position errors on maximum contact stresses has been presented. Also the comparison of Hertz stresses for Novikov and involute gears has been made.


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