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有频率禁区的连续体结构拓扑优化
引用本文:彭细荣,隋允康.有频率禁区的连续体结构拓扑优化[J].固体力学学报,2007,28(2):145-150.
作者姓名:彭细荣  隋允康
作者单位:1. 深圳市南山区西丽镇深圳大学城清华校区,清华大学深圳研究生院,深圳,518055
2. 北京工业大学机电学院工程数值模拟中心,北京,100022
摘    要:用ICM(独立连续映射)方法建立了以重量为目标、频率为约束的连续体结构拓扑优化模型,并转化为对偶模型利用序列二次规划求解.解决了“棋盘格”现象、网格依赖性、局部模态及模态交换等问题.以重量为目标建立的优化模型同截面及形状优化形成了统一模型,在处理多频率约束及解决模态交换问题上有优势.

关 键 词:拓扑优化  频率约束  ICM方法
修稿时间:2006-04-29

TOPOLOGICAL OPTIMIZATION OF THE CONTINUUM STRUCTURE WITH NON-FREQUENCY-BAND CONSTRAINTS
Peng Xirong,Sui Yunkang.TOPOLOGICAL OPTIMIZATION OF THE CONTINUUM STRUCTURE WITH NON-FREQUENCY-BAND CONSTRAINTS[J].Acta Mechnica Solida Sinica,2007,28(2):145-150.
Authors:Peng Xirong  Sui Yunkang
Institution:1Graduate School at Shenzhen Tsinghua Univert y , Shenzhen , 518055;2 Numerical Simulation Center for Engineering, The College of Mechanical Engineering and Applied Elctronics Technology, Beijing University of Technology, Beijing , 100022
Abstract:The topological optimization model for the continuum structure is constructed,which has the minimized weight objective and frequency constraints.The model is transferred into a dual optimization model;and sequential quadratic programming is adopted to solve it.Some numerical problems,such as the checkerboard patterns,the mesh dependence,the local modal and modal switch problems,are eliminated.The topology optimization model with the minimized weight objective is unified with the models of size and shape optimization.It also has advantages in dealing with multi-frequency constraints and solving the modal switch difficulties.
Keywords:structural topological optimization  non-frequency-band constraints  ICM method
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