Considering the change of the neutral surface with or without damping materials, this paper developed a model for plate structure with free damping using Matlab. The sound radiation pressure from the vibration of a thin plate was derived with Rayleigh integral. A topology optimization model for distribution of free damping materials was built with the objective defined as the minimum of the sound radiation pressure of a cantilever plate. In addition, the constraint condition was defined as the volume fraction of damping materials. With the evolutionary structural optimization method, the optimal distribution of damping materials was determined. Compared with the result which the objective function was defined as the maximization of the modal loss factor, it was concluded that method whose objective was defined as the minimum of the sound radiation pressure was better for noise reduction. Finally, the simulation was verified with experiments.
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