Similitude Analysis on Mechanical Parameters of Thin Walled Shells

Abstract:

The relationship of the kinetic fundamental parameters for both the prototype and model are derived by employing the finite method. Based on the relations, the scaling laws of the thin walled cylinder for the free vibration are found by applying the similitude transformation to the governing equation. In the absence of the experimental data, the validity of the scaling laws is testified by numerical data. This is done by calculating theoretically the natural frequencies for free vibration of the cylinders. By substituting the model frequencies in the scaling laws, the frequencies of the prototype are obtained. Consequently, the frequencies of the model and prototype are compared. Examples that one end of the thin walled shell is clamped and the other is simply supported show exact agreement.

• Periodical: Advanced Engineering Forum (Volumes 2-3)
• Pages: 936-941
• DOI: https://doi.org/10.4028/www.scientific.net/AEF.2-3.936
• Online since: December 2011
• Authors: Gao Ming Qin, Hai Yang Duan, Zhong Luo, Qing Kai Han
• Keywords: Finite Element Method (FEM), Kinetic Fundamental Parameters, Scale Factor, Scaling Laws, Similitude Theory, Thin-Walled Cylindrical Shells

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