非保守功能梯度弹性组合曲梁的精确模型及其数值解被引量：4

Analysis of nonlinear large deformation of functionally graded material elastic combination curved beam subjected to non-conservative forces

在线阅读下载PDF

导出

摘要基于直法线假设,采用可伸长梁的几何非线性理论,建立了功能梯度材料弹性组合曲梁受切线均布随从力作用下的静态大变形数学模型。该模型不仅计及了轴线伸长,同时也精确地考虑了梁的初始曲率对变形的影响以及轴向变形与弯曲变形之间的耦合效应。用打靶法数值求解了由金属和陶瓷两相材料所构成的一种FGM组合曲梁在沿轴线均布切向随动载荷作用下的非线性平面弯曲问题,给出了不同梯度指标下FGM弹性曲梁随载荷参数大范围变化的平衡路径,并与金属和陶瓷两种单相材料曲梁的相应特性进行了比较。 Based on the assumption of straight normal line of beams and by employing geometrically nonlinear theory for the extensible elastic beams,governing equations of large static deformation of functionally graded material（FGM）combination elastic curved beam subjected to a distributed tangential follower force along the central axis were established.In the mathematical model,not only the effects of the axial elongation and the initial curvature of the FGM curved beam on the deformation were accurately taken into account but the coupling between elongation and bending was considered.By using shooting method,the nonlinear plane bending of a combination curved beam from a straight beam and a quarter semicircle FGM made of metal and ceramic subjected to tangentially distributed follower force along the axial line was analyzed.The equilibrium paths of the deformed FGM curved beams under the different graded index,varying with the load parameter in a large range,are presented,and compared with the properties of metal and ceramic material curved beams.

作者李清禄李世荣

机构地区兰州理工大学理学院扬州大学建筑科学与工程学院

出处《计算力学学报》 CAS CSCD 北大核心 2014年第3期340-344,389,共6页 Chinese Journal of Computational Mechanics

基金国家自然科学基金(11272278 11262010) 甘肃省自然科学基金(2011GS04154)资助项目

关键词功能梯度材料组合曲梁非保守力拉-弯耦合打靶法 functionally graded material combination curved elastic beam geometrical nonlinearity non-conservative stretching-bending coupling shooting method

分类号 O343 [理学—固体力学]

作者简介李清禄（1975-），男，博士，副教授（E—mail：lqu2008@163．com）．

引文网络
相关文献

参考文献16

1Bolotin V V. Non-conservative Problems of the Theory of Elastic Stability [ M]. Oxford: Pergamon Press, 1963.
2Herrmann G. Stability of equilibrium of elastic sys- tems subjected to non-conservative force[J]. Applied Mechanics Review, 1967,20(1) : 103-108.
3李世荣,吴莹,周又和.轴向随动分布载荷作用下简支梁杆的过屈曲[J].工程力学,2003,20(3):94-97. 被引量：9
4Filipich C P, Rosales M B. A further study on the post-buckling of extensible elastic rods[J]. Interna- tional Journal of Non-Li near Mechanics, 2000,35 (6) : 997-1022.
5Li S R, Zhou Y H. Post-buckling of a hinged-fixed beam under uniformly distributed follower forces[J]. Mechanics Research Communications, 2005,32 ( 4 ) : 359-367.
6李世荣,宋曦,周又和.弹性曲梁几何非线性精确模型及其数值解[J].工程力学,2004,21(2):129-133. 被引量：21
7李世荣,周凤玺.弹性曲梁在机械和热载荷共同作用下的几何非线性模型及其数值解[J].计算力学学报,2008,25(1):25-28. 被引量：4
8Koizumi M. The concept of FGM ceramic transitions [J]. Functionally Gradient Materials, 1993,34 (1) : 3-10.
9Liviu L,Oh S Y,Song O. Thin-wailed beams made of functionally graded materials and operating in a high temperature environment: vibration and stability[J]. Journal of Thermal Stresses ,2005,28(6) :649-712.
10LI Shi-rong, ZHANG Jing-hua, ZHAO Yong-gang. Thermal post-buckling of functionally graded material Timoshenko beams [J]. Applied Mathematics and Mechanics, 2007,27 (6) : 803-810.