Evaluation of Metaheuristic-Based Methods for Optimization of Truss Structures via Various Algorithms and Lèvy Flight Modification

Abstract

Truss structures are one of the major civil engineering members studied in the optimization research area. In this area, various optimization applications such as topology, size, cost, weight, material usage, etc., can be conducted for different truss structure types. In this scope with the present study, various optimization processes were carried out concerning two different large-scale space trusses to minimize the structural weight. According to this state, three structural models provided via two different truss structures, including 25 bar and 72 bar truss models, were handled for evaluation of six different metaheuristics together with the modification of Lèvy flight for three of the algorithms using swarm intelligence by considering both constant and variable populations, and different ranges for iterations, too. Additionally, the effects of the Lèvy flight function and whether it is successful or not in terms of the target of optimization were also investigated by comparing with some documented studies. In this regard, some statistical calculations were also realized to evaluate the optimization method performance and detection of optimum values for any data stably and successfully. According to the results, the Jaya algorithm can handle the optimization process successfully, including the case, without grouping truss members. The positive effect of Lèvy flight on swarm-based algorithms can be seen especially for the gray wolf algorithm.

Optimal Dimensions of Post-Tensioned Concrete Cylindrical Walls Using Harmony Search and Ensemble Learning with SHAP

“…The harmony search (HS) algorithm was developed by Geem et al [44] and has been used for solving numerous optimization problems in broad areas including the numerical solution of differential equations [45], project scheduling [46], weapon target assignment [47], law enforcement [48], internet of things [49], robotics [50], soil stability analysis [51], and structural design [52][53][54]. The HS method is based on the evolutionary improvement of an initially randomly generated population of optimal solution candidates denoted with x in Equations ( 10) and (11). The size of this population is denoted with HMS in Equation ( 9) which stands for harmony memory size.…”

“…Previous studies of the reinforced concrete structures optimization with and without prestressing have demonstrated the applicability of metaheuristic optimization techniques like the harmony search (HS) methodology to reduce the structural cost and environmental impact [2][3][4][5][6]. Metaheuristic optimization techniques have been applied to a variety of problems in civil and structural engineering including the dimensioning of trusses [7][8][9][10][11][12][13], retaining walls [14][15][16][17][18][19][20][21][22], laminated composite plates [23][24][25][26][27][28][29][30], and steel plate girders [31]. On the other hand, post-tensioning in structures is an area where metaheuristic optimization techniques found relatively few applications.…”

Optimum Design of Cylindrical Walls Using Ensemble Learning Methods

“…The cost optimization of structures is an area of structural analysis and design that has gained traction in recent years with the advent of metaheuristic optimization techniques and increasing availability of computing power. A number of past studies have optimized various civil engineering structures, such as retaining walls (Kayabekir et al [1]), concretefilled steel tubular columns (Cakiroglu et al [2]), cantilever soldier piles (Arama et al [3]), and truss structures (Bekdaş et al [4]), utilizing advanced optimization techniques, such as the harmony search algorithm, social spider algorithm, and Jaya algorithm. Bekdaş [5] demonstrated the applicability of the harmony search algorithm to the cost optimization of cylindrical reinforced concrete water tanks with the dimensions and cross-sections as shown in Figure 1.…”

Generation of eco‐friendly design for post‐tensioned axially symmetric reinforced concrete cylindrical walls by minimizing of CO2 emission

“…Here, based on the scope of the current study, to make it clear to them for structural engineering applications, various optimization processes containing previous and recently-developed metaheuristic algorithms are expressed. As an example to these, to generate the best structural design for trusses in the direction of providing size, geometry, topology optimization, and so on, adaptive dimensional search (ADS), [22] harmony search (HS), [23] teaching-learning based optimization (TLBO), [24] water cycle algorithm (WCA), [25] Jaya algorithm (JA), [26] artificial bee colony (ABC) algorithm, [27] and nine different metaheuristic approaches [28] are utilized. Also, in several pieces of research, charged system search (CSS), [29] HS, [30] differential evolution (DE), [31] flower pollination algorithm (FPA), [32,33] genetic algorithm (GA), [34] crow search algorithm (CSA), whale optimization algorithm (WOA), and gray wolf optimization (GWO), [35] FPA, TLBO, and also JA [36] are preferred to determine of various special mechanical properties with the aim of best adjusting of structural control systems (such as providing of sufficient damping).…”