• 应用研究 •

梯度弹性基础上正交异性薄板的屈曲分析

1. 1. 海军驻426 厂军代表室, 上海 202100;
2. 海军工程大学舰船工程系, 武汉 430033
• 收稿日期:2014-04-24 修回日期:2014-07-16 出版日期:2015-02-15 发布日期:2015-02-14
• 通讯作者: 李华东,博士,讲师. E-mail:lhd0727@163.com
• 基金资助:

国家自然科学基金资助项目(50979110).

BUCKLING ANALYSIS OF ORTHOTROPIC THIN PLATE ON GRADED ELASTIC FOUNDATION

1. 1. Naval Representative Office Stationed at No.426 Factory, Shanghai 202100, China;
2. Department of Ships Engineering, Naval University of Engineering, Wuhan 430033, China
• Received:2014-04-24 Revised:2014-07-16 Online:2015-02-15 Published:2015-02-14

Abstract:

Based on the two-parameter foundation model, the buckling of orthotropic thin plates on graded elastic foundations is studied. Firstly, the buckling governing differential equation of orthotropic thin plates on graded elastic foundations and the expressions of two elastic parameters of the elastic foundation are obtained by using the energy method and the variational principle. Then, by expanding the displacement into trigonometric functions, the calculation formula of the uniaxial compression buckling load for orthotropic thin plates on graded elastic foundations with simply supported edges is obtained. In the example, the proposed solution is validated by comparing the degenerated results for an orthotropic thin plate with the classical elasticity solution. Finally, this paper studies the buckling load of the orthotropic thin plate on a graded elastic foundation, whose Young's modulus obeys a power law against the thickness. The effects of the top-bottom surfaces' Young's modulus ratio and the volume fraction exponent are also discussed.

Key words:

orthotropic plate|two-parameter foundation model|buckling|functionally graded materials|variation principle