Optimal arrangement of damping materials is an important problem in vibration control of thin walled structure treated with constrained layer damping, which directly affects vibration energy dissipation and global energy flow distribution. In this thesis, an evolutionary topology optimization method is used to establish the optimization model for constrained layer damping processing panel, with the optimization goal of maximizing the modal loss factor and limiting the usage of damping material. Taking into account the sensitivity of modal shapes, based on an improved modal superposition method, the sensitivity of the objective function with respect to the design variables is obtained. The level set function constructed from the node sensitivity determines the implicit smooth structure topology of the restricted damping layer. Numerical examples suggest that the algorithm is feasible, correct and valid. Studies show that this method not only allows the objective function to converge stably to the optimal value, but also obtains smooth and clear boundaries.
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