Topological optimization method for maximizing fundamental frequency of mechanical structure

Abstract

According to the topological optimization method for maximizing the fundamental frequency of the mechanical structure, topological optimization of maximizing the fundamental frequency of the mechanical structure under the quality constraint condition can be achieved, and higher calculation efficiency is achieved. The method comprises the following specific steps: 1, establishing a topological optimization mathematical model of a mechanical structure; 2, deriving an iterative calculation formula of a design variable; 3, controlling a topological optimization iterative solution process; and 4, obtaining the optimal topological form of the mechanical structure according to the optimal solution of the unit relative density. According to the method, the problem of mechanical structure dynamicstopology optimization can be efficiently solved, a clear structure topology form can be obtained in the first several steps of optimization iteration, and the method has the advantages of being high in convergence speed, high in calculation efficiency and the like and can be popularized and applied to structural design of complex mechanical equipment.

Description

technical field [0001] The invention belongs to the field of lightweight design of mechanical structures, and in particular relates to a topology optimization method for maximizing the fundamental frequency of mechanical structures. Background technique [0002] In the field of mechanical structure design and other fields, it has always been the goal pursued by designers to achieve the optimal performance of mechanical structures with the least material and the lowest cost. Structural optimization design mainly includes three levels: topology optimization, shape optimization and size optimization. Among them, the topology optimization design is in the basic conceptual design stage, and the quality of the structural topology design directly affects the subsequent shape and size design. When the initial topological design of the structure is not optimal, shape and size optimization may produce suboptimal structures, so the optimal topological form of the structure needs to be...

AI Technical Summary

Problems solved by technology

Due to too many design variables in topology optimization, the BESO method has the disadvantages of slow convergence speed and low calculation efficiency.

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