2021
DOI: 10.1155/2021/4421298
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Dynamic Topology Optimization of Long‐Span Continuum Structures

Abstract: Herein, to improve the dynamic performance of continuum structures, their fundamental frequency is optimized using the topology optimization method. This helps to obtain the best material distribution in the design space and increases the fundamental frequency of the structure higher than the disturbance frequency. Using the variable density method, the dynamic topology optimization model of a long-span continuum structure is built based on the density interpolation model of a solid isotropic material with pen… Show more

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Cited by 5 publications
(5 citation statements)
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“…Until today, SIMP has maintained its status and continues to develop. Recent advances include SIMP combined with phase-field method [37], multi-material TO [38][39][40][41][42][43][44][45], anisotropic material behaviour [46,47], dynamic performance and fatigue TO [48][49][50][51][52], large elastic deformation TO [53], additive manufacturing (AM) constrained TO [54][55][56][57][58][59], subtractive manufacture (SM) constrained TO [60], and casting constrained TO [61]. Some approaches lead to self-weight TO [62], nonlinear load cases [63,64], stress constrained TO [65], surface corrosion TO [66], buckling considerations [67,68], non-linear heat conduction [69], thermal dissipation [70].…”
Section: Solid Isotropic Materials With Penalty Methodsmentioning
confidence: 99%
“…Until today, SIMP has maintained its status and continues to develop. Recent advances include SIMP combined with phase-field method [37], multi-material TO [38][39][40][41][42][43][44][45], anisotropic material behaviour [46,47], dynamic performance and fatigue TO [48][49][50][51][52], large elastic deformation TO [53], additive manufacturing (AM) constrained TO [54][55][56][57][58][59], subtractive manufacture (SM) constrained TO [60], and casting constrained TO [61]. Some approaches lead to self-weight TO [62], nonlinear load cases [63,64], stress constrained TO [65], surface corrosion TO [66], buckling considerations [67,68], non-linear heat conduction [69], thermal dissipation [70].…”
Section: Solid Isotropic Materials With Penalty Methodsmentioning
confidence: 99%
“…Firstly, a static analysis was performed on the initial model of the rack synchronizer. Topology optimization was performed on it using the variable density method, and the material removal area and non-material removal area were divided (Figure 20a,b) [33,34].…”
Section: Optimization Design Of the Rack Synchronizermentioning
confidence: 99%
“…Leader, et al [18] considered both stress and frequency constraints and utilized the Jacobi-Davidson eigenvalue solving method to solve the natural frequency problem. Wang et al [19] established a dynamic topology optimization model for long-span continuum, effectively improving the firstorder frequency. Xu et al [20] proposed a frequency optimization problem with casting constraints, which can effectively obtain convergent solutions when dealing with frequency maximization problems.…”
Section: Introductionmentioning
confidence: 99%