A scaling approach for the prediction of high-frequency mean responses of vibrating systems.
This analysis presents a scaling approach to predict high-frequency mean responses of vibrating systems. The basis of the approach lies in the dynamic similitude between the original systems and the scaled models. A general scaling law is formulated using Skudrzyk's mean-value theorem and its specific form is derived for the case of a flexural plate. Modal density is scaled down to reduce the computational cost in the high-frequency mean response prediction. Different scaling procedures are numerically experimented and some insights are given about the accuracy of the scaling approach as compared with a dense finite element analysis.
Key Laboratory of Environmental Noise and Vibration, Beijing Municipal Institute of Labour Protection, Beijing 100054, China.
Xianhui
X
Li
D000162:Acoustics; D003198:Computer Simulation; D020342:Finite Element Analysis; D015233:Models, Statistical; D009716:Numerical Analysis, Computer-Assisted; D015203:Reproducibility of Results; D014732:Vibration