Research on energy image source method for high frequency vibration of polygonal plate

Subjects: Mechanics >> Other Disciplines of Mechanics submitted time 2022-11-01 Cooperative journals: 《应用力学学报》

代成浩 钟强 陈海波

Abstract： The purpose of this study is to introduce the image source method in room acoustics into the radiative energy transfer model of a polygonal plate under high frequency transverse point excitation to predict its energy response of structural bending vibrations.The key treatment is how to construct the image source cloud field of the polygonal plate.In the framework of the radiative energy transfer model for the polygonal plate,the mirror image of the real source is used to replace the boundary of the structure so as to represent the continuous reflection of energy at the boundary.Based on the energy density and power flow intensity kernel functions of the direct field,the energy at any point inside the structure can be obtained by superposition of the energy generated by the real source and the energy generated by an infinite number of image sources.By solving the right triangular plate and rectangular plate,we can obtain their distribution characteristics of energy density and power flow intensity.Numerical results are compared with those solved by the radiative energy transfer method and the analytical solutions to verify the accuracy of the proposed model.Finally,the effects of damping,frequency and order of image sources on the convergence of the computation results are discussed.

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