Evolutionary methods for topology optimisation of continuous structures with design dependent loads

Topology optimization of multiphase material structures under design dependent pressure loads

“…For model 4, the optimal configuration given in Fig. 11(a) is similar to that found by Yang et al (2005). For models 5 and 6, four columns are generated on the fixed points and connected by straight members.…”

“…Bruyneel and Duysinx [7] investigated the topology optimization of structures under self-weight loading with SIMP and different MMA (Method of Moving Asymptotes) approximation schemes. Yang et al [24] applied the ESO/BESO method to solve the same problem. In the work of Ansola et al [2], obtained solutions are found to be not exactly the same.…”

“…The unidirectional pressure load on moving surface is sometimes treated as a special case of hydrostatic pressure, typically in the works of Du and Olhoff [9], Chen and Kikuchi [8]. Alternatively, The ESO method was applied by Yang et al [24] to solve this problem.…”

“…(a) Model and boundary condition (b) Optimal result of Fuchs and Moses [12] (c) Optimal result of Yang et al [24] Fig. 1 Optimal results related to transmissible loads "Transmissible" or "sliding" loads: To the authors' knowledge, "transmissible" or "sliding" loads might be the design-dependent loads that were firstly investigated in the work of Rozvany and Prager [17].…”

“…Fuchs and Moses [12] studied the topology optimization of structures under transmissible loads and the socalled "Prager structure" is obtained. Likewise, Yang et al [24] solved this problem with ESO/BESO (Evolutionary Structural Optimization and Bi-direction Evolutionary Structural Optimization) method. As shown in Fig.…”