High-Order Vibrations’ Dynamic Scaling Laws of Distorted Scaled Models of Thin-Walled Short Cylindrical Shells

Abstract

In this study, we investigate the dynamic scaling laws of geometrically distorted models for predicting dynamic characteristics of thin-walled short cylindrical shells. Approximate and accurate analysis methods for obtaining the scaling laws are introduced. Two coefficient functions are established in deriving high-order scaling laws for a narrow range distorted model. Then a modified function is obtained by using numerical analysis, in order to modify the errors of wide range distorted models. The general form of the high-order scaling laws of thin-walled short cylindrical shells is also developed. To be practical, a process of detecting scaling laws by experimental operation is summarized, and the applicability of scaling laws is validated by using experimental data. Although there are some limitations in practice, the scaling laws of the thin-walled short cylindrical shell still have the ability to predict the prototype with good accuracy.