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Title: Calculation of natural frequencies of vibration of thin cylindrical shells of variable thickness
Author: Falkiewicz, A. T.
Awarding Body: University of Edinburgh
Current Institution: University of Edinburgh
Date of Award: 1952
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In this thesis the theoretical and experimental work is concerned with cylinders consisting of two sections of different thickness. It is claimed, however, that the method of solution developed is perfectly generally applicable to c:linders with any number of sections. The nature of the method permits it to be considered as nothing more than a good approximation, but the experimental findings illustrate how nearly accurate the calculated results are. It yet has the merit of both simplicity and brevity, and as such is of no small value in practical engineering calculations. Due to the presence of the sudden change of thickness of the cylinder, an exact mathematical solution of the problem would be most difficult and cumbersome, and as a working method would present no real value. The overall average agreement between experimental and calculated values of natural frequencies is to within about 2 per cent., but in most cases it is even closer. It is proposed in the next future to extend the present method of solution to cover the general case of a cylindrical shell consisting of any number of portions of different thickness; special consideration will have to be given to the modified beam analogy part of the method: already the natural frequencies of such a shell, which are higher than the Rayleigh frequency of its thickest portion, can be obtained by the process of "fitting together" successive sine -waves with wavelengths corresponding to the same frequency but different thickness ratios, starting from w = 0 at one end, in such a way as to obtain w = 0 at the other end. In addition to evolving the general method of solution, a comprehensive experimental investigation will have to be carried out.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available