The Finite Element Method for a Variable Cross-Section Timoshenko Beam

Yang Kuiyi; Jin Jianguo

doi:10.13374/j.issn1001-053x.1992.03.035

Volume 14 Issue 3

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Yang Kuiyi, Jin Jianguo. The Finite Element Method for a Variable Cross-Section Timoshenko Beam[J]. Chinese Journal of Engineering, 1992, 14(3): 389-392. doi: 10.13374/j.issn1001-053x.1992.03.035

Citation:

Yang Kuiyi, Jin Jianguo. The Finite Element Method for a Variable Cross-Section Timoshenko Beam[J]. Chinese Journal of Engineering, 1992, 14(3): 389-392. doi: 10.13374/j.issn1001-053x.1992.03.035

Yang Kuiyi, Jin Jianguo. The Finite Element Method for a Variable Cross-Section Timoshenko Beam[J]. Chinese Journal of Engineering, 1992, 14(3): 389-392. doi: 10.13374/j.issn1001-053x.1992.03.035

Citation:

Yang Kuiyi, Jin Jianguo. The Finite Element Method for a Variable Cross-Section Timoshenko Beam[J]. Chinese Journal of Engineering, 1992, 14(3): 389-392. doi: 10.13374/j.issn1001-053x.1992.03.035

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The Finite Element Method for a Variable Cross-Section Timoshenko Beam

doi: 10.13374/j.issn1001-053x.1992.03.035

Department of Mathematics and Mechanics

Received Date: 1991-12-21
Available Online: 2021-10-16

Abstract

Abstract

Expanded the elemental matrix of a uniform Timoshenko beam by J. Thomas into the matrix of a variable cross-section Timoshenko beam. By comparing with the simple beam, the present results show that:the influence of the wider end of beam on natural frequency arc larger.
- stiffness matrix of the element,
- shear deformation,
- rotary inertia