Isogeometric in-Plane Vibration Analysis of Functionally Graded Triangular Plates

CHEN Mingfei; LIU Kunpeng; JIN Guoyong; ZHANG Yantao; YE Tiangui; LIU Zhigang

doi:10.21656/1000-0887.400171

Volume 41 Issue 2

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CHEN Mingfei, LIU Kunpeng, JIN Guoyong, ZHANG Yantao, YE Tiangui, LIU Zhigang. Isogeometric in-Plane Vibration Analysis of Functionally Graded Triangular Plates[J]. Applied Mathematics and Mechanics, 2020, 41(2): 156-170. doi: 10.21656/1000-0887.400171

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Isogeometric in-Plane Vibration Analysis of Functionally Graded Triangular Plates

doi: 10.21656/1000-0887.400171

College of Power and Energy Engineering, Harbin Engineering University,Harbin 150001, P.R.China

Funds: The National Natural Science Foundation of China（51775125;51822902;51709066）

Received Date: 2019-05-15
Rev Recd Date: 2019-12-25
Publish Date: 2020-02-01

Abstract

Abstract

The in-plane vibration of the triangular plates of in-plane functionally graded (IFG) materials based on the plane stress theory was investigated by means of isogeometric analysis (IGA). The material of the triangular plate is homogenous in the thickness direction, but functionally graded along the in-plane direction. The geometry and displacement field of the considered plate were constructed with the non-uniform rational B-splines (NURBS) basis functions, then a seamless integration of the geometric design and the vibration characteristic analysis of the triangular plate was realized. The arbitrary boundary conditions of the triangular plate were obtained through adjustment of the stiffness of artificial springs introduced into the boundary of the triangular plate. The flexibility, high accuracy and quick convergency of the proposed method were verified through different refinements and results comparison. Finally, effects of boundary conditions, material properties and geometry parameters were investigated systematically. The vibration solutions of many kinds of triangular plates of in-plane functionally graded materials with elastic boundary conditions were given. The work provides a good reference for engineering application.
- triangular plate,
- isogeometric analysis,
- NURBS,
- in-plane vibration,
- functionally graded material,
- finite element method

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References(26)

References

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