Longitudinal Free Vibration of an Elastic Non-uniform Strut

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Liu Hsien-chih. Longitudinal Free Vibration of an Elastic Non-uniform Strut[J]. Applied Mathematics and Mechanics, 1980, 1(2): 237-245.

Citation:

Liu Hsien-chih. Longitudinal Free Vibration of an Elastic Non-uniform Strut[J]. Applied Mathematics and Mechanics, 1980, 1(2): 237-245.

Citation:

Liu Hsien-chih. Longitudinal Free Vibration of an Elastic Non-uniform Strut[J]. Applied Mathematics and Mechanics, 1980, 1(2): 237-245.

Abstract

The aim of this paper is to give a more or less general treatment of vibration of elastic non-uniform strut,such as composite wooden screw-propeller.In this paper,elastic modulus,cross-sectional area,and mass per unit length are considered to be of exponential functions of longitudinal coordinates,A general solution is obtained together with these three para meters,which are fou nd to be the main factors closely related to the frequencies of free vibration of such an elastic-non-uniform strut.

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