框架和格子结构的最佳均匀强度设计

IF 4.4 2区 工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Computers & Structures Pub Date : 2024-06-01 DOI:10.1016/j.compstruc.2024.107430
Christian Iandiorio , Daniele Milani , Pietro Salvini
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引用次数: 0

摘要

本文提供了一种获得框架和格构结构均匀强度的程序。均匀强度条件是通过对结构的所有梁元素进行形状优化来实现的。从一维季莫申科模型中可以分析推导出保证均匀强度的梁形状。优化问题表现为寻找目标函数向量的零点,目标函数向量是一个非线性方程组,表示结构每个节点的运动协调性和力平衡。通过对优化问题的分析表述,可以在不使用外部结构计算的情况下构建目标函数向量,即不需要通过任何有限元分析来完成迭代。后一个特点在优化所需的计算时间方面具有很大优势。所提出的分析公式允许直接将均匀强度条件插入目标函数向量中,从而将优化转化为无约束问题。在一些示例中,讨论了在增加结构自由度的同时,优化程序在鲁棒性和计算复杂性方面的性能。通过有限元分析验证了优化的可靠性和质量。
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Optimal Uniform Strength Design of Frame and Lattice Structures

This paper provides a procedure to obtain the uniform strength of frame and lattice structures. Uniform strength condition is achieved by performing the shape optimization of all beam elements of the structure. The beam shape which guarantees uniform strength is analytically deduced from the one-dimensional Timoshenko model. The optimization problem presents itself as the search for the zeros of the objective-functions vector, which is a non-linear system of equations representing the kinematic-congruence and forces balance at every node of the structure. The analytical formulation of the optimization problem allows to construct the objective-functions vector without the use of external structural computation, i.e. not recurring to any Finite Element Analysis to accomplish iterations. This latter feature entails a great advantage in terms of computing time required to perform optimization. The proposed analytical formulation allows to directly insert the uniform strength condition into the objective-functions vector, transforming the optimization into an unconstrained problem. Some examples are shown in which the performance of the optimization procedure is discussed in terms of robustness and rate of computational complexity while increasing the degrees of freedom of the structure. The reliability and the quality of the optimization are verified through Finite Element Analysis.

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来源期刊
Computers & Structures
Computers & Structures 工程技术-工程:土木
CiteScore
8.80
自引率
6.40%
发文量
122
审稿时长
33 days
期刊介绍: Computers & Structures publishes advances in the development and use of computational methods for the solution of problems in engineering and the sciences. The range of appropriate contributions is wide, and includes papers on establishing appropriate mathematical models and their numerical solution in all areas of mechanics. The journal also includes articles that present a substantial review of a field in the topics of the journal.
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