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ON SOME GENERAL PROPERTIES OF COMBINED DYNAMICAL SYSTEMS.

Publication ,  Journal Article
Dowell, EH
Published in: American Society of Mechanical Engineers (Paper)
January 1, 1978

There are several well-known results due to Rayleigh left bracket 1 right bracket on the effects of mass and stiffness addition to a dynamical system. In this paper these results are reconsidered and generalized using the methods previously employed by the author dynamics of combined systems composed of several component systems left bracket 3 right bracket . Specifically it is shown that, if two component systems are connected at a point, each combined system frequency is increased from its component value or, in the exceptional case, is unchanged. This may appear, at first, to contradict Rayleigh's results on mass addition. However, it does not since the mass added may be viewed as a rigid body with one or more zero natural frequencies.

Duke Scholars

Published In

American Society of Mechanical Engineers (Paper)

ISSN

0402-1215

Publication Date

January 1, 1978

Issue

78 -WA/APM-26
 

Citation

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Dowell, E. H. (1978). ON SOME GENERAL PROPERTIES OF COMBINED DYNAMICAL SYSTEMS. American Society of Mechanical Engineers (Paper), (78-WA/APM-26).
Dowell, E. H. “ON SOME GENERAL PROPERTIES OF COMBINED DYNAMICAL SYSTEMS.American Society of Mechanical Engineers (Paper), no. 78-WA/APM-26 (January 1, 1978).
Dowell EH. ON SOME GENERAL PROPERTIES OF COMBINED DYNAMICAL SYSTEMS. American Society of Mechanical Engineers (Paper). 1978 Jan 1;(78-WA/APM-26).
Dowell, E. H. “ON SOME GENERAL PROPERTIES OF COMBINED DYNAMICAL SYSTEMS.American Society of Mechanical Engineers (Paper), no. 78-WA/APM-26, Jan. 1978.
Dowell EH. ON SOME GENERAL PROPERTIES OF COMBINED DYNAMICAL SYSTEMS. American Society of Mechanical Engineers (Paper). 1978 Jan 1;(78-WA/APM-26).

Published In

American Society of Mechanical Engineers (Paper)

ISSN

0402-1215

Publication Date

January 1, 1978

Issue

78 -WA/APM-26