Structural topology optimization based on SIMP variable density method and its application
In the process of topology optimization,in order to solve the problems of slow computation speed and low efficien-cy in complex structures,a step-size adaptive optimization algorithm based on the solid isotropic material with penalization(SIMP)model was presented.The proposed algorithm adaptively selects the optimal step size parameter according to the SIMP penalty factor P value and adjusts the step size for each iteration based on the objective function's iterative value.This approach ensures precision while accelerating convergence to the iteration target.Simulation experiments using the classical MBB simply supported beam case,with various mesh sizes,demonstrate that the proposed method achieves the most accurate results with up to a 100%improvement in iteration speed compared to three other step-size iteration formulas.Additionally,to address the lightweight require-ments in the automotive industry,topology optimization was applied to redesign the throttle bracket structure.The optimized model volume is reduced by 35%.On this basis,using the additive manufacturing technology,the double-nozzle continuous fiber printer was used.The composite material with a long carbon fiber volume fraction of 35%(the matrix is a chopped carbon fiber filled nylon wire)replaced the traditional aluminum alloy material for additive manufacturing to achieve the purpose of weight reduction.Finally,the throttle bracket structure with mechanical properties equivalent to the original structure and a weight reduction of 48%were obtained,which can further realize the lightweight manufacturing of automobiles.
variable density methodadaptive mobile step lengthtopology optimizationthrottle bracket structureaddi-tive manufacturing
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