Stresses and Strains in Cylindrical Shells

Author: Williams, Harry Edwin

Year: 1956

Degree: Dissertation (Ph.D.)

Advisor: Housner, George W.

Committee Member: Unknown, Unknown

Option: Mechanical Engineering; Physics

DOI: 10.7907/1EB7-W116

Abstract

As a consequence of assuming that the circumferential normal strain and in-plane shear strain of a cylindrical shell vanish, a relatively simple differential equation is derived which can be readily solved. An investigation of the frequencies of harmonic vibration of each Fourier component of the shell leads to a criterion determining a range of wave numbers within which the approximate method leads to satisfactory results. Experimental measurements show that solutions of the approximate equation are accurate except in the vicinity of a sharp variation of the load intensity, and so long as the length to diameter ratio of the shell is sufficiently large

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