Optimization process of the truss structure using Finite Element Analysis: Step by step from 2D to 3D space

Arhami Arhami, Iskandar Hasanuddin, Masri Masri
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Abstract

This paper discusses the process of optimizing the truss structure step by step from 2D to 3D space using finite element analysis. This step-by-step optimization process is carried out to simplify the analysis of truss structures from simple to more complex cases. Optimization aims to obtain the minimum cross-sectional area and weight for each truss member. The stages of the optimization process carried out in this study are starting from a 2-dimensional (2D) truss structure with several two and five members to a 3-dimensional (3D) one-level tower with a total of 18 members. The optimum criterion as the constraint used is the full stress design method and the value of the cross-sectional area and weight of the structure as a result of optimization, leading to convergence during the iteration process. The tool used to run the iteration process is performed using Fortran software. The results of this optimization process are the total cross-sectional area (A) and a minimum of weight (W), that is, for a two-member truss A = 1 in2 and W = 4 lb, for a five-member truss A = 3.48 in2 and W = 14 lb. Furthermore, for a one-level of tower-space truss with a total of 18 elements, A = 57.91 in2 is obtained and the optimum weight of the truss structure is W = 134.02 lb. From these results, it can be seen that the optimization process that starts from simple to complex cases can be carried out easily and still takes into account the existing constraints
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基于有限元分析的桁架结构优化过程:从二维到三维空间逐级优化
本文讨论了用有限元分析方法从二维空间到三维空间逐步优化桁架结构的过程。这一步一步的优化过程是为了简化桁架结构的分析,从简单到更复杂的情况。优化的目标是获得每个桁架构件的最小横截面积和重量。在本研究中进行的优化过程的阶段是从一个二维(2D)桁架结构开始的,其中有几个2和5个成员,到一个三维(3D)一层塔楼,共有18个成员。采用全应力设计方法和优化后的结构截面积和重量值作为约束的最优准则,导致迭代过程收敛。用于运行迭代过程的工具是使用Fortran软件执行的。这个优化过程的结果总横截面积(A)和最小的重量(W),也就是说,一个带两桁架= 1 in2和W = 4磅,对于一个由五名成员组成的桁架= 3.48 in2和W = 14磅。此外,对于一级tower-space桁架共有18个元素,一个= 57.91 in2得到桁架结构的最佳体重是W = 134.02磅。从这些结果,可以看出,从简单到复杂的优化过程可以很容易地进行,并且仍然考虑到现有的约束条件
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