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工程力学  2012 

开孔深梁压杆-拉杆模型构造

DOI: 10.6052/j.issn.1000-4750.2011.04.0205, PP. 141-146

Keywords: 结构优化设计,拓扑优化,深梁,压杆-拉杆模型,GESO算法

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Abstract:

深梁是受力较为复杂的构件,特别是开孔深梁的传力机制还有待进一步研究。采用优化的方法构造深梁的压杆-拉杆模型是近年来研究的新思路,该文选择寻优能力较强的拓扑优化方法——遗传演化结构优化算法,建立能反映开孔深梁真实传力机理的压杆-拉杆模型,以一个对称开洞的简支梁为例,计算了孔洞的大小不同、位置不同时的压杆-拉杆模型,并与经典的优化设计准则Michell准则比较来验证压杆-拉杆模型的合理性。另外,以一个偏洞口深梁为例,讨论不同荷载作用下开孔深梁的压杆-拉杆模型,该文的研究证明遗传演化算法可方便地构造开孔深梁的压杆-拉杆模型,其所建立的模型能为工程设计提供有益的参考。

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