Static and dynamic snap-through behaviour of an elastic spherical shell

作     者：D. Karagiozova X.-W. Zhang T.-X. Yu 

作者机构：Department of Mechanical EngineeringHong Kong University of Science and TechnologyClear Water Bay Kowloon Hong Kong China Institute of Mechanics Bulgarian Academy of SciencesAcad. G. Bonchev Street Block 4Sofia 1113 Bulgaria School of Mechantronical EngineeringBeijing Institute of Technology100081 Beijing China 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2012年第28卷第3期

页      面：695-710页

核心收录：

学科分类：08[工学] 080104[工学-工程力学] 0815[工学-水利工程] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China (11032001) 

主　　题：Elastic spherical shell Snap through buckling.Static Dynamic 

摘      要：The deformation and snap-through behaviour of a thin-walled elastic spherical shell statically compressed on a flat surface or impacted against a fiat surface are studied the- oretically and numerically in order to estimate the influence of the dynamic effects on the response. A table tennis ball is considered as an example of a thin-walled elastic shell. It is shown that the increase of the impact velocity leads to a variation of the deformed shape thus resulting in larger de- formation energy. The increase of the contact force is caused by both the increased contribution of the inertia forces and contribution of the increased deformation energy. The contact force resulted from deformation/inertia of the ball and the shape of the deformed region are calcu- lated by the proposed theoretical models and compared with the results from both the finite element analysis and some previously obtained experimental data. Good agreement is demonstrated.