The application discloses a structural displacement response
topology optimization design method and device, and relates to the technical field of
structural dynamics. The method comprises the following steps: a finite
element model of a structure is established, boundary conditions and external load excitation are applied, an optimization model with the minimum displacement amplitude as the target and the
volume fraction and the anti-
resonance frequency as the constraints is constructed, after the parameter initialization is completed, the sensitivities of the displacement amplitude and the
volume fraction are iteratively calculated, the anti-
resonance frequency eigenvalue sequence is solved by using the
modal acceleration method, the constrained anti-
resonance frequency is tracked in combination with the
modal assurance criterion, the sensitivities of the anti-resonance frequency to the design variables are solved by using the Moore-Penrose
generalized inverse, all the parameters and the sensitivities are input into the MMA optimization
algorithm, the convergence is judged, and if the convergence is satisfied, the iteration is terminated to obtain the
optimal design variable vector, and the structural displacement response
topology optimization is realized. The method solves the problem that the existing technology is prone to falling into the anti-
resonance point and converging in advance to form an intermediate density gray area when displacement minimization
topology optimization is performed.