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Nonlinear analysis for a rectangular plate subjected to low velocity impact considering the effect of the structural deformation
HU Yaqing 1,DAI Hongliang 2 *,LIN Zhongyan 2
1.State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082;Key Laboratory of Advanced Design and Simulation Technology for Special Equipments Ministry of Education, Hunan University, Changsha 410082;State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082;Key Laboratory of Advanced Design and Simulation Technology for Special Equipments Ministry of Education, Hunan University, Changsha 410082;State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082;Key Laboratory of Advanced Design and Simulation Technology for Special Equipments Ministry of Education, Hunan University, Changsha 410082
2.
*Correspondence author
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Funding: Hunan Provincial Natural Science Foundation of China （No.2017JJ2044）
Opened online: 3 April 2018
Accepted by: none
Citation: HU Yaqing,DAI Hongliang,LIN Zhongyan.Nonlinear analysis for a rectangular plate subjected to low velocity impact considering the effect of the structural deformation[OL]. [ 3 April 2018] http://en.paper.edu.cn/en_releasepaper/content/4744096
 
 
In this paper, by applying the Hertz contact law and considering the effect of the structural deformation, the dynamic contact coefficient is proposed. On the base of the classical theory of thin plate, by using von Kaman equations the governing equations of the rectangular plate subjected to low velocity is built. Considering the effect of the structural deformation, the governing equations of contact force is coupled with that of the plate, thus the finite difference method is used and the displacement functions is discrete in space domains. Also, the Newmark method is used and the whole problem is solved by applying iterative method. The results shows the influence of boundary condition, material of the plate, impact speeds and other factors on the displacement, normal stress and contact force while considering the effect of the structural deformation.
Keywords:Engineering mechanics; Low velocity impact; Rectangular plate; Nonlinear dynamic response；
 
 
 

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