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目的初探用进废退思想在桁架拓扑优化设计中的应用,开发相应的优化程序并用算例进行验证.方法在桁架拓扑优化设计中考虑结构中受压杆的稳定性,同时考虑材料应力约束和压杆的稳定应力约束,通过杆件的实际受载情况及其应力约束值来调整各杆件的截面积,剔除优化结果中截面积小于阈值的杆件,以得到最优的拓扑结构和杆的截面大小,使各杆在保证结构稳定的前提下各尽所能,物尽其用.结果优化结果表明桁架达到减重和安全稳定的目的.结论该方法实用、可靠、收敛速度快,可以应用于复杂桁架结构的设计中.
Objective To explore the application of the idea of the use of waste in the truss topology optimization design, develop the corresponding optimization program and use the examples to verify. Methods The stability of the compression rods in the structure was considered in the optimization design of the truss topology. The material stress constraints and the stability stress constraints of the compression rods were also taken into account. The actual load conditions of the rods and the stress constraint values were used to adjust the cutoff of each rod. In the area, the bars whose cross-sectional area is smaller than the threshold value in the optimization result are eliminated to obtain the optimal topological structure and the cross-sectional size of the rod, so that the rods can do their best to ensure the structural stability and make the best use of the materials. The results of optimization show that the truss achieves the goal of weight loss and safety and stability. Conclusion This method is practical, reliable, fast convergence, and can be applied to the design of complex truss structures.