Dynamic Analysis of Circular Thin Plates Under Eccentric Impact Load With the StructurePreserving Method

QIN Yu-yue; DENG Zi-chen; HU Wei-peng

doi:10.3879/j.issn.1000-0887.2014.08.006

Volume 35 Issue 8

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QIN Yu-yue, DENG Zi-chen, HU Wei-peng. Dynamic Analysis of Circular Thin Plates Under Eccentric Impact Load With the StructurePreserving Method[J]. Applied Mathematics and Mechanics, 2014, 35(8): 883-892. doi: 10.3879/j.issn.1000-0887.2014.08.006

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Dynamic Analysis of Circular Thin Plates Under Eccentric Impact Load With the StructurePreserving Method

doi: 10.3879/j.issn.1000-0887.2014.08.006

¹School of Mechanics and Civil. Engineering and Architecture,Northwestern Polytechnical University, Xi’an 710072, P.R.China;²State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian, Liaoning 116023, P.R.China

Funds: The National Natural Science Foundation of China(11372252;11172239;11372253)

Received Date: 2014-04-08
Rev Recd Date: 2014-06-16
Publish Date: 2014-08-15

Abstract

Abstract

Focused on the local geometric properties of the dynamic system, the multi-symplectic method was used to analyze the vibration behavior of the circular thin plate under eccentric impact load. Firstly, the governing equation for the vibration problem of the plate was redescribed in the multi-symplectic framework. And then, the multi-symplectic scheme was constructed with the explicit midpoint method to simulate the dynamic process of the thin plate under impact load with different relative eccentric distances. Finally, the numerical results were presented and discussed in detail, which demonstrated the structure-preserving properties of the multi-symplectic algorithm. Generally, the numerical results not only present a reference for the estimation of the dynamic responses resulting from the acting position error of the load on the structure, but also propose a new way for the study of the eccentrically impacted plate problems.
- Hamilton system,
- multi-symplectic,
- circular thin plate,
- eccentric impact load

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References(9)

References

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