A dynamic topology optimization for plates with constrained damping was conducted to provide a theoretical basis for vibration reduction design.Taking maximizing plate’s multi-modal loss factor as an objective,and taking amount of damping material,frequency equation and frequency region,and MAC factor as constraints,a topology optimization model was developed.The penalty factors for mass matrix were introduced,and the multi-modal loss factor sensitivity was deduced.Considering optimal objective function being non-convex,using a common optimal criterion might lead to the topological variables to be negative,or the optimization calculation to fall into a local optimization.So a moving asymptotic technique of mathematical programming was adopted to improve the common optimal criterion.With the improved criterion,all topological variables were brought into the optimization process so as to avoid the occurrence of local optimization.Dynamic optimization for the plates based on improved optimal criterion method were simulated.The results showed that a more reasonable constrained damping layer’s configuration is obtained with the improved method and algorithm,the plates with constrained damping achieve a better vibration reduction effect; the improved method has a better iteration stability and a faster optimization speed,and can more effectively provide a global optimal solution.
Key words
plate with constrained damping /
multi-modal loss factor /
improved optimal criteria method /
vibration reduction characteristics /
dynamic topology optimization
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