Lightweight Topology Optimization with Buckling and Frequency Constraints Using the Independent Continuous Mapping Method

摘要: This research focuses on the lightweight topology optimization method for structures under premise of meeting requirements stability and vibration characteristics. A new model with constraints natural frequencies critical buckling loads objective minimizing structural volume is established solved based independent continuous mapping method. The eigenvalue equations composite exponential filter functions are applied to convert formulation into a continuous, solvable mathematical programming model. In process optimization, suitable initial values chosen avoid local modes, dynamic frequency gap added in optimal prevent mode switches. Furthermore, grey elements obtained by model, bisection–inverse iteration search discrete structures. Finally, detailed scheme given problem. Numerical examples illustrate that modelling economic index performance practical feasible multi-performance problems.