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partition method and experimental validation for impact dynamics of flexible multibody system

Acta Mechanica Sinica 2018年第3期34卷 482-492页

作者： J.Y.Wang Z.Y.Liu J.Z.Hong School of Naval Architecture Ocean and Civil EngineeringShanghai Jiao Tong University

The impact problem of a flexible multibody system is a non-smooth, high-transient, and strong-nonlinear dynamic process with variable boundary. How to model the contact/impact process accurately and efficiently is one of the main difficulties in many engineering applications. The numerical approaches being used widely in impact analysis are mainly from two fields： multibody system dynamics （MBS） and computational solid mechanics （CSM）. Approaches based on MBS provide a more efficient yet less accurate analysis of the contact/impact problems, while approaches based on CSM are well suited for particularly high accuracy needs, yet require very high computational effort. To bridge the gap between accuracy and efficiency in the dynamic simulation of a flexible multibody system with contacts/impacts, a partition method is presented considering that the contact body is divided into two parts, an impact region and a non-impact region. The impact region is modeled using the finite element method to guarantee the local accuracy, while the non-impact region is modeled using the modal reduction approach to raise the global efficiency. A three-dimensional rod-plate impact experiment is designed and performed to validate the numerical results. The principle for how to partition the contact bodies is proposed： the maximum radius of the impact region can be estimated by an analytical method, and the modal truncation orders of the non-impact region can be estimated by the highest frequency of the signal measured. The simulation results using the presented method are in good agreement with the experimental results. It shows that this method is an effec-rive formulation considering both accuracy and efficiency. Moreover, a more complicated multibody impact problem of a crank slider mechanism is investigated to strengthen this conclusion.

关键词： partition method Impact dynamics Experimental investigation Efficiency and accuracy partition principle

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partition method for impact dynamics of flexible multibody systems based on contact constraint

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Applied Mathematics and Mechanics(English Edition) 2013年第11期34卷 1393-1404页

作者：段玥晨章定国洪嘉振 School of Mechanical Engineering Zhengzhou University School of Science Nanjing University of Science and Technology Department of Engineering Mechanics Shanghai Jiao Tong University

The impact dynamics of a flexible multibody system is investigated. By using a partition method, the system is divided into two parts, the local impact region and the region away from the impact. The two parts are connected by specific boundary conditions, and the system after partition is equivalent to the original system. According to the rigid-flexible coupling dynamic theory of multibody system, system＇s rigid-flexible coupling dynamic equations without impact are derived. A local impulse method for establishing the initial impact conditions is proposed. It satisfies the compatibility con- ditions for contact constraints and the actual physical situation of the impact process of flexible bodies. Based on the contact constraint method, system＇s impact dynamic equa- tions are derived in a differential-algebraic form. The contact/separation criterion and the algorithm are given. An impact dynamic simulation is given. The results show that system＇s dynamic behaviors including the energy, the deformations, the displacements, and the impact force during the impact process change dramatically. The impact makes great effects on the global dynamics of the system during and after impact.

关键词： flexible multibody system impact dynamics partition method impulse-momentum method contact constraint

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A partition method for a Distributed Artificial Life Virtual Environment

A Partition Method for a Distributed Artificial Life Virtual...

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第二十七届中国控制会议

作者： Gao Lan 1,Zou Jinhui 2,Zhang Shaowu 3 1.Faculty of Information Engineering Automation,Kunming University of Science and Technology,Kunming 650051,P.R.China 2.Faculty of Information Engineering Automation,Kunming University of Science and Technology,Kunming 650051,P.R.China 3.Kunming Centre Branch,The People''s Bank of China,Kunming 650021,P.R.China

In this paper,a distributed Artificial Life virtual environment framework is proposed and a partition method is introduced into the framework which provides an effective means for continuous observation of"emergence"features of numerous artificial *** keep the consistence of the zonal virtual environment,a buffer region solution is discussed and a method of transforming local coordinate to world coordinate is ***,data transmission mechanism of the buffer region is designed to gain a seamless virtual world.

关键词： Artificial Life Virtual Environment partition method Consistence

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A method of solving the stiffness problem in Biot＇s poroelastic equations using a staggered high-order finite-difference

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Chinese Physics B 2006年第12期15卷 2819-2827页

作者：赵海波王秀明陈浩 Institute of Acoustics Chinese Academy of Sciences Beijing 100080 China Australian Resources Research Centre Australian Commonwealth Scientific and Industrial Research Organization Bentley WA 6102 Australia

In modelling elastic wave propagation in a porous medium, when the ratio between the fluid viscosity and the medium permeability is comparatively large, the stiffness problem of Blot＇s poroelastic equations will be encountered. In the paper, a partition method is developed to solve the stiffness problem with a staggered high-order finite-difference. The method splits the Biot equations into two systems. One is stiff, and solved analytically, the other is nonstiff, and solved numerically by using a high-order staggered-grid finite-difference scheme. The time step is determined by the staggered finite-difference algorithm in solving the nonstiff equations, thus a coarse time step may be employed. Therefore, the computation efficiency and computational stability are improved greatly. Also a perfect by matched layer technology is used in the split method as absorbing boundary conditions. The numerical results are compared with the analytical results and those obtained from the conventional staggered-grid finite-difference method in a homogeneous model, respectively. They are in good agreement with each other. Finally, a slightly more complex model is investigated and compared with related equivalent model to illustrate the good performance of the staggered-grid finite-difference scheme in the partition method.

关键词： porous media stiffness partition method staggered grid finite difference

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