| 基于Zig-Zag变形假定的复合材料夹层板的自由振动 |
| |
| 引用本文： | 白瑞祥,张志峰,陈浩然.基于Zig-Zag变形假定的复合材料夹层板的自由振动[J].上海力学,2004,25(4):528-534. |
| |
| 作者姓名： | 白瑞祥 张志峰 陈浩然 |
| |
| 作者单位： | 大连理工大学工业装备结构分析国家重点实验室 大连116024
(白瑞祥，张志峰)，大连理工大学工业装备结构分析国家重点实验室 大连116024(陈浩然) |
| |
| 基金项目： | 辽宁省博士启动基金资助项目(20031075) |
| |
| 摘 要： | 针对复合材料夹层板的实际变形特征，基于Zig-Zag变形假定和Mindlin一阶剪切理论，建立了复合材料夹层板自由振动的有限元模型，在该模型中分别对上、下面板和芯体建立了三个独立坐标系，使三部分的转角独立，为具有厚夹芯和软夹芯的复合材料夹层板的动力分析提供了一种更为准确的有限元模型；在此基础上推导了相应的刚度阵和质量阵，并采用子空间迭代法求解。夹层板的固有频率。通过典型考题证明了本模型的有效性。文中最后还通过参数讨论，研究了具有不同长厚比的复合材料夹层板基频的变化规律。
|
| 关 键 词： | 复合材料夹层板 Zig-Zag变形假定 自由振动 有限元 |
| 文章编号： | 0254-0053(2004)04-528-7 |
| 修稿时间： | 2004年5月9日 |
Free Vibration of Composite Sandwich Plates Based on Zig-Zag Deformation Assumption |
| |
| BAI Rui xiang,ZHANG Zhi feng,CHEN Hao ran.Free Vibration of Composite Sandwich Plates Based on Zig-Zag Deformation Assumption[J].Chinese Quarterly Mechanics,2004,25(4):528-534. |
| |
| Authors: | BAI Rui xiang ZHANG Zhi feng CHEN Hao ran |
| |
| Abstract: | A finite element method based on Zig Zag deformation assumption and Mindlin first order shear deformation theory was presented for the free vibration analysis of composite sandwich plates. To characterize the real deformation of composite sandwich plates, three independent coordinate systems for up face, core and low face were established, and the formula of corresponding stiffness matrix and mass matrix was deduced. Through using the subspace iteration method, the natural frequencies of the plate were calculated. Compared with the benchmark results shows the present model has more effectiveness. From some typical examples, the effect of length to thickness ratio of the plates on the nature frequencies has been studied. |
| |
| Keywords: | composite sandwich plate Zig-Zag deformation assumption free vibration finite element |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
