返回Google圖書搜尋

Modal Method for Free Vibration of Finite Oval Cylindrical Shell with Free Ends

出版	Polytechnic Institute of New York, Department of Aerospace Engineering and Applied Mechanics, 1976
URL	http://books.google.com.hk/books?id=RdtuHAAACAAJ&hl=&source=gbs_api

註釋The modal method developed by the authors applicable to the dynamic analysis of supported noncircular cylindrical shells is extended in the present work to deal with (but not restricted to) the free vibration problem of unsupported noncircular cylinders. The required modification includes the enforcement of the edge conditions at the free ends of a finite cylindrical shell which are unsatisfied by the modal functions owing to the presence of the variable curvature terms. Such conditions are posed as additional constraints by way of the well-known formalism of Lagrange multipliers. In addition, it was found that the inclusion of the lowest modes, commonly approximated by the Rayleigh-Love modes, is essential to the completeness of the eigen-function representation. The validity of the proposed procedure of analysis is illustrated by its application to the solution of the free vibration problem of oval cylindrical shells with free ends. (Author).