Optimal Plastic Design: Allowance for Self-Weight
Optimal Plastic Design: Allowance for Self-Weight
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最佳塑料设计：自重余量
DOI：
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发表时间：
1977
期刊：
影响因子：
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通讯作者：
G. Rozvany
中科院分区：
文献类型：
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作者：
G. Rozvany
结构优化中最有用的工具之一是Prager-Shield条件，它要求应变率处处等于特定成本函数的梯度。为了综合考虑外加荷载和自重(体力)对结构进行优化，对上述准则进行了简单的修正。然后，通过将所提出的扩展理论应用于梁和束布局，得到了Heyman定理的推广。这种方法的重要性是显而易见的，因为忽略了结构重量会使最优解变得有些不切实际。结果表明，在载荷类型为非负的情况下，这些修正最优解的某些性质与载荷类型无关。迈尔、斯里尼瓦桑、萨文、巴尼特和陈都考虑过允许自己体重。
One of the most useful tools in structural optimization is the Prager-Shield condition which requires the strain rates to be everywhere equal to the gradient of the specific cost function. With a view to optimizing structures for a combination of applied loads and self-weight (body-forces), a simple modification of the aforementioned criterion is introduced. A generalization of Heyman.s theorem is then obtained by applying the proposed extended theory to beams and beam layouts. The importance of the method presented is obvious because the neglect of structural weight renders most optimal solutions somewhat unpractical. It is found that certain properties of these modified optimal solutions are independent of the type of applied loads, provided that the latter are non-negative. Allowance for self-weight has been considered by Maier, Srinivasan, and Save and Barnett and Chern.