Configuration Optimization of Trusses Subject to Strength, Displacement and Frequency Constraints
Configuration Optimization of Trusses Subject to Strength, Displacement and Frequency Constraints
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受强度、位移和频率约束的桁架配置优化
DOI：
10.1115/1.3267443
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发表时间：
1987
期刊：
影响因子：
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通讯作者：
G. Vanderplaats
中科院分区：
文献类型：
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作者：
J. Felix;G. Vanderplaats
三维弹性桁架以最小重量为设计目标，受杆件应力、欧拉屈曲、节点位移和系统固有频率的约束。考虑了多种静载条件。采用有限元位移法分析，并使用子空间迭代技术计算特征值。所有梯度信息都是以解析方式计算的。将设计问题归结为一个多层数值优化问题。运动类型坐标被视为系统变量。对于每个建议的配置，成员大小作为一个次优化问题进行更新。利用倒易变量空间中的逼近概念，有效地解决了这个子问题。多层方法被证明是一种有效的技术，它方便地利用了可用于成员大小调整问题的最有效的方法。通过算例验证了该方法的有效性。结果表明，最优配置强烈依赖于对设计施加的约束条件。
Three-dimensional elastic trusses are designed for minimum weight, subject to constraints on member stresses, Euler buckling, joint displacements and system natural frequencies. Multiple static loading conditions are considered. The finite-element displacement method of analysis is used and eigenvalues are calculated using the subspace iteration technique. All gradient information is calculated analytically. The design problem is cast as a multilevel numerical optimization problem. The joint coordinates are treated as system variables. For each proposed configuration, the member sizes are updated as a suboptimization problem. This subproblem is efficiently solved using approximation concepts in the reciprocal variable space. The multilevel approach is shown to be an effective technique which conveniently takes advantage of the most efficient methods available for the member sizing problem. Examples are presented to demonstrate the method. The optimum configuration is shown to be strongly dependent on the constraints which are imposed on the design.