Topology optimization of constrained damping plate based on non-negative sound intensity

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (11) : 33-41.

WU Zhenyun, ZHAO Wenchang, CHEN Haibo

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Abstract

Here, the acoustic radiation problem of constrained damping plate was analyzed and discussed based on the concept of non-negative intensity (NNI).The optimal distribution of damping material of constrained damping plate was studied.NNSI was applied to recognize the structure surface area with the main contribution to far-field sound radiation.Based on the solid isotropic material with penalization (SIMP) density interpolation scheme, an optimization model was established by taking the relative density of damping material as the design variable, the volume ratio of damping material as the constraint, and the surface area with the minimum contribution to sound radiation as the objective function.The moving asymptotic algorithm was used to solve the optimization model.Taking the plate with four fixed edges as an example, the vibration plate surface region with significant contribution to far-field was analyzed, and the distribution of damping material was designed optimally.The example results showed that the topology optimization algorithm based on NNI is effective in denoising optimization design, and has the potential to change the structural vibration radiation mode.

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constrained damping plate / sound radiation / topology optimization / non-negative intensity (NNI)

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WU Zhenyun, ZHAO Wenchang, CHEN Haibo. Topology optimization of constrained damping plate based on non-negative sound intensity[J]. Journal of Vibration and Shock, 2021, 40(11): 33-41

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