| 频率约束的三维连续体结构动力拓扑优化设计 |
| |
| 引用本文： | 叶红玲,沈静娴,隋允康.频率约束的三维连续体结构动力拓扑优化设计[J].力学学报,2012,44(6):1037-1045. |
| |
| 作者姓名： | 叶红玲 沈静娴 隋允康 |
| |
| 作者单位： | 北京工业大学 机械工程与应用电子技术学院,北京 100124 |
| |
| 基金项目： | 国家自然科学基金资助项目 |
| |
| 摘 要： | 针对频率约束和结构重量最小的动力拓扑优化问题, 基于(independent continuous mapping, ICM)独立、连续、映射方法,建立了频率约束下的三维连续体拓扑优化模型. 利用瑞利商和一阶泰勒展式对频率约束进行了显式化处理,并采用幂函数与复合指数函数作为过滤函数,将优化模型进行了标准化转换, 利用对偶理论及数学规划法进行了求解. 另外,利用质量矩阵和刚度矩阵过滤函数比值与动态约束处理了局部模态和模态交换等数值问题. 最后,通过应用两类不同过滤函数的数值算例表明了文中模型及方法在处理动力拓扑优化问题上的合理性与有效性.
|
| 关 键 词： | 拓扑优化 独立连续映射方法 频率约束 三维连续体 |
| 收稿时间： | 2012-03-16 |
| 修稿时间： | 2012-06-14 |
DYNAMIC TOLOGICAL OPTIMAL DESIGN OF THREE-DIMENSIONAL CONTINUUM STRUCTURES WITH FREQUENCIES CONSTRAINTS |
| |
| Ye Hongling,Shen Jingxian Sui Yunkang.DYNAMIC TOLOGICAL OPTIMAL DESIGN OF THREE-DIMENSIONAL CONTINUUM STRUCTURES WITH FREQUENCIES CONSTRAINTS[J].chinese journal of theoretical and applied mechanics,2012,44(6):1037-1045. |
| |
| Authors: | Ye Hongling Shen Jingxian Sui Yunkang |
| |
| Affiliation: | College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology,Beijing 100124, China |
| |
| Abstract: | The purpose of present work is to study structural optimal design of dynamics for three-dimensional (3D) continuum structures, and to aim at constructing topological optimal formulation by using ICM method, which is considering weight as object function and fundamental eigenfrequency as constraints. An explicit expression of frequency-constraint(s) with respect to topological variables is obtained based on Rayleigh's quotient and first-order Taylor expansion. And two types of models with filter functions including power function and exponential function are standardized. As a result, the topology optimization problem is solved by the dual quadratic programming. Localized mode and mode switching often occurred in structural optimization with natural frequency constraints are handled by using filter functions and moving constraints in the optimal process. Finally, several numerical examples applying different filter functions in the optimal model are analyzed and discussed to demonstrate the feasibility and efficiency of the proposed method. |
| |
| Keywords: | topology optimization ICM method frequencies constraint three-dimensional continuum structure |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《力学学报》浏览原始摘要信息 |
|
点击此处可从《力学学报》下载全文 |
|
