Scaling for the ensemble statistics prediction of a random system subjected to harmonic excitations |
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Authors: | Li Xianhui |
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Institution: | Key Laboratory of Environmental Noise and Vibration, Beijing Municipal Institute of Labour Protection, Beijing 100054, China. lixh@bmilp.ac.cn |
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Abstract: | This paper is concerned with the ensemble statistics of the dynamic responses of a random system subjected to harmonic excitations. Random point process theory is employed to derive general scaling laws with the Gaussian orthogonal ensemble assumption about the system natural frequencies. A scaled model is built to simulate the high-frequency vibrations of the original system. Specific forms of the scaling laws are presented for a mass-loaded plate regarding the scaling factors for the structural parameters. The ensemble statistics predicted from the scaled model are compared favorably with those obtained from the original system. |
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