Scaling for the ensemble statistics prediction of a random system subjected to harmonic excitations.
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.
Key Laboratory of Environmental Noise and Vibration, Beijing Municipal Institute of Labour Protection, Beijing 100054, China. lixh@bmilp.ac.cn
Xianhui
X
Li
D000162:Acoustics; D003198:Computer Simulation; D055119:Elastic Modulus; D015233:Models, Statistical; D009716:Numerical Analysis, Computer-Assisted; D014732:Vibration