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带有预应力的连续体组合结构拓扑优化
引用本文:傅建林,荣见华,杨振兴. 带有预应力的连续体组合结构拓扑优化[J]. 应用力学学报, 2005, 22(2): 231-236,i008
作者姓名:傅建林  荣见华  杨振兴
作者单位:长沙理工大学,长沙,410076
基金项目:国家自然科学基金项目(10472016),交通部应用基础研究项目(200331982509)
摘    要:考虑梁结构的预应力,导出了结构的应力及其灵敏度公式。同时,结合结构单元应力水平和相对差商,对于带有尺寸和拓扑变量的连续体组合结构优化问题,建立了一套优化准则,在双方向渐进结构优化方法思想的基础上,形成了一种新的拓扑优化算法。最后,算例表明了该方法的正确性和有效性。

关 键 词:预应力 组合结构 渐进结构优化 拓扑优化
文章编号:1000-4939(2005)02-0231-06

Topology Optimization of Continuum Combined Structures With Prestress
Fu Jianlin,RONG JianHua,Yang Zhenxing. Topology Optimization of Continuum Combined Structures With Prestress[J]. Chinese Journal of Applied Mechanics, 2005, 22(2): 231-236,i008
Authors:Fu Jianlin  RONG JianHua  Yang Zhenxing
Abstract:Considering the prestress of beam structures, a set of stress sensitivity numbers for beam and plate structures are derived, where the structural element stress level is combined with the relative difference quotients, a set of optimum criteria for the combined topology optimization problem of continuum structures with size and topology variables is established, and a kind of new topology optimization procedure is formulated based on a bi-directional evolutionary structural optimization idea. The examples are provided to confirm the validity and effectiveness of the proposed method.
Keywords:prestress   combining structure   evolutionary structural optimization   topology optimization.
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