一种获得各向异性平面梁在任意荷载作用下弹性解的新方法

张浪; 李学武; 夏建中

doi:10.3879/j.issn.1000-0887.2013.06.009

一种获得各向异性平面梁在任意荷载作用下弹性解的新方法

doi: 10.3879/j.issn.1000-0887.2013.06.009

¹国防科学技术大学校务部基建办公室,长沙 410073;²国防科学技术大学航天科学与工程学院,长沙 410073

详细信息

作者简介:
张浪（1983—），男，湖南冷水人，工程师，博士(通讯作者.Tel：+86-731-84572420; E-mail: zhanglang83@gmail.com)

中图分类号: O343.1
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出版历程
- 收稿日期: 2013-04-17
- 修回日期: 2013-04-27
- 刊出日期: 2013-06-15

A Novel Method to Obtain the Elasticity Solutions of Anisotropic Plane Beam Subjected to Arbitrary Loads

¹Infrastructure Construction Office, Department of Logistics, National University of Defense Technology, Changsha 410073, P.R.China;²School of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, P.R.China

摘要

摘要: 通过求解函数方程，给出了一种获得各向异性线性平面梁弹性解的新方法，该方法可以考虑任意形式的荷载以及各种端部支撑条件．将该方法与传统的逆解法或者半逆解法比较，其最大的好处在于不需要猜测应力函数的形式而直接获得问题的精确解．算例验证了该方法的正确性，同时也提供了一种求解平面梁承受任意荷载的新思路.
- 函数方程 /
- 各向异性平面梁 /
- 弹性解 /
- 任意荷载 /
- 边界条件 /
- 弹性理论
Abstract: A novel method was given to obtain the elasticity solutions for linear anisotropic plane beam subjected to arbitrary loads with various ends conditions by solving functional equations. Comparing this general method with traditional trial-and-error method, the most advantage was that there was no need to guess the form of stress function and obtain the solutions directly. The united equations for solving boundary value problem of anisotropic plane beam were found and several examples showed the correctness of this general method. A new way was also provided to derive the elasticity solutions of plane beam subjected to arbitrary loads with various ends conditions.
- functional equation /
- anisotropic plane beam /
- elasticity solution /
- arbitrary load /
- boundary condition /
- elasticity theory

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参考文献(11)

[1]	Timoshenko S P, Goodier J N. Theory of Elasticity [M]. 3rd ed. New York: McGrawHill, 1970.
[2]	Lekhnitskii S G. Anisotropic Plate [M]. New York: Gordon and Breach, 1968.
[3]	丁皓江, 黄德进, 王惠明. 均布载荷作用下各向异性固支梁的解析解[J]. 应用数学和力学, 2006,27(10)：1144-1149.(DING Hao-jiang, HUANG De-jin, WANG Hui-ming. Analytical solution for fixed-fixed anisotropic beam subjected to uniform load[J]. Applied Mathematics and Mechanics,2006,27(10)：1144-1149.(in Chinese))
[4]	Sankar B V. An elasticity solution for functionally graded beam[J]. Composite Science and Technology,2001,61(1): 689-696.
[5]	Ding H J, Jiang A M. A boundary integral formulation and solution for 2D problems in magneto-electro-elastic media[J]. Composite and Structures,2004,82(2): 1599-1607.
[6]	Huang D J, Ding H J, Chen W Q. Analytical solution for functionally graded magnetoelectroelastic plane beams[J]. International Journal of Engineering Science,2007,45(7): 467-485.
[7]	Huang D J, Ding H J, Chen W Q. Static analysis of anisotropic functionally graded magneto-electro-elastic beams subjected to arbitrary loading[J]. European Journal of Mechanics A/Solids,2010,29(12): 356-369.
[8]	Ding H J, Huang D J, Chen W Q. Elasticity solutions for plane anisotropic functionally graded beams[J]. International Journal of Solids and Structures,2007,44(3): 176-196.
[9]	Alibeigloo A. Thermoelasticity analysis of functionally graded beam with integrated surface piezoelectric layers[J]. Composite Structures,2010,92(4): 1535-1543.
[10]	Senthil S V, Batra R C. The generalized plane strain deformations of thick anisotropic composite laminated plates[J]. International Journal of Solids and Structures,2000,37(4): 715-733.
[11]	Evans G, Blackledge J. Analytical Methods for Partial Differential Equations [M]. London: Springer, 1999.

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一种获得各向异性平面梁在任意荷载作用下弹性解的新方法

doi: 10.3879/j.issn.1000-0887.2013.06.009

作者简介:
张浪（1983—），男，湖南冷水人，工程师，博士(通讯作者.Tel：+86-731-84572420; E-mail: zhanglang83@gmail.com)

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A Novel Method to Obtain the Elasticity Solutions of Anisotropic Plane Beam Subjected to Arbitrary Loads

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一种获得各向异性平面梁在任意荷载作用下弹性解的新方法

doi: 10.3879/j.issn.1000-0887.2013.06.009

作者简介: 张浪（1983—），男，湖南冷水人，工程师，博士(通讯作者.Tel：+86-731-84572420; E-mail: zhanglang83@gmail.com)

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出版历程

A Novel Method to Obtain the Elasticity Solutions of Anisotropic Plane Beam Subjected to Arbitrary Loads

计量

出版历程

目录

作者简介:
张浪（1983—），男，湖南冷水人，工程师，博士(通讯作者.Tel：+86-731-84572420; E-mail: zhanglang83@gmail.com)