Accession Number : AD0675139

Title :   THE DYNAMICS OF A BEAM OF CHANGING CROSS SECTION,

Corporate Author : POLYTECHNIC INST OF BROOKLYN N Y DEPT OF AEROSPACE ENGINEERING AND APPLIED MECHANICS

Personal Author(s) : Klosner,J. M. ; Ghandour,E.

Report Date : JUN 1968

Pagination or Media Count : 36

Abstract : An investigation has been carried out to determine the response of a cantilever beam having a time-varying cross section, to a prescribed harmonic displacement at its support. The assumption of classical beam theory leads to a set of ordinary differential equations of the Mathieu type. A general solution to these non-homogeneous equations is developed and programmed for the IBM 7040 digital computer. The strong dependence of the lateral motion to the frequency of the support displacement and to the frequency of the changing cross section is investigated for a wide range of ratios of these frequencies. (Author)

Descriptors :   (*BEAMS(STRUCTURAL), DYNAMICS), (*SATELLITE ANTENNAS, EXTENDABLE STRUCTURES), PERIODIC VARIATIONS, RESPONSE, TIME, DIFFERENTIAL EQUATIONS, FREQUENCY, VIBRATION

Subject Categories : Mechanics
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Distribution Statement : APPROVED FOR PUBLIC RELEASE