Hamiltonian System and Simpletic Geometry in Mechanics of Materials(Ⅲ)——Flexure and Free Vibration of Plates

Ouyang Hua-jiang; Zhong Wan-xie

Volume 14 Issue 1

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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(1): 19-23

Ouyang Hua-jiang, Zhong Wan-xie. Hamiltonian System and Simpletic Geometry in Mechanics of Materials(Ⅲ)——Flexure and Free Vibration of Plates[J]. Applied Mathematics and Mechanics, 1993, 14(1): 19-23.

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Hamiltonian System and Simpletic Geometry in Mechanics of Materials(Ⅲ)——Flexure and Free Vibration of Plates

Res. Inst. of Eng. Mech., Dalian Univ. of Tech., Dalian

Received Date: 1991-09-13
Publish Date: 1993-01-15

Abstract

Abstract

The methodology presented in Part I is employed to deal with flexure and free vibration of anisotropic plates.
- Hamiltonian system,
- simpletic geometry,
- anisotropy,
- flexure,
- vibration/plate

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References(6)

References

[1]	列赫尼茨基,С.Г.,《各向异性板》.胡海昌译.北京科学出版社(1983).
[2]	琼斯,R,M.,《复合材料力学》.朱颐龄等译,上海科学技术出版社,(1981).
[3]	钟万勰,分离变量法与哈密尔顿体系.计算结构力学及其应用,8(3)(1991).
[4]	钟万勰,条形域平面弹性问题与哈密尔顿体系,大连理工大学学报,31(4)(1991).
[5]	Rao,B,S,R.and B.G.Prakash,Generalized orthogonality relations for the flexure of rectangular plates and a cantilever problem for semi-infinite plates,J,Struct,Mech,,9(1)(1981).
[6]	徐芝伦.《弹性力学》(下册,第二版),北京:高等教育出版社(1982).

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