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

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Abstract

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 conditions 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 equations 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.

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Authors and Affiliations

  1. School of Mechanical Engineering, Zhengzhou University, Zhengzhou, 450001, P.R. China

    Yue-chen Duan  (段玥晨)

  2. School of Science, Nanjing University of Science and Technology, Nanjing, 210094, P.R. China

    Yue-chen Duan  (段玥晨) & Ding-guo Zhang  (章定国)

  3. Department of Engineering Mechanics, Shanghai Jiao Tong University, Shanghai, 200240, P. R. China

    Jia-zhen Hong  (洪嘉振)

Authors
  1. Yue-chen Duan  (段玥晨)
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  2. Ding-guo Zhang  (章定国)
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  3. Jia-zhen Hong  (洪嘉振)
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Corresponding author

Correspondence to Ding-guo Zhang  (章定国).

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 11132007, 11272155, and 10772085), the Fundamental Research Funds for the Central Universities (No. 30920130112009), and the 333 Project of Jiangsu Province of China (No.BRA2011172)

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Duan, Yc., Zhang, Dg. & Hong, Jz. Partition method for impact dynamics of flexible multibody systems based on contact constraint. Appl. Math. Mech.-Engl. Ed. 34, 1393–1404 (2013). https://doi.org/10.1007/s10483-013-1754-7

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  • DOI: https://doi.org/10.1007/s10483-013-1754-7

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Chinese Library Classification

2010 Mathematics Subject Classification

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