Green functions for transversely vibrating uniform Euler-Bernoulli beams subject to constant axial preload

This paper presents closed form expressions for Green functions of vibrating homogeneous Euler-Bernoulli beams subjected to constant axial preload, such as can arise from inertial effects in the case of appendages on a spinning spacecraft or can be induced mechanically. These functions are efficient...

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Bibliographic Details
Published inJournal of sound and vibration Vol. 134; no. 1; pp. 175 - 180
Main Authors Bergman, L.A., Hyatt, J.E.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 08.10.1989
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ISSN0022-460X
1095-8568
DOI10.1016/0022-460X(89)90744-X

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Summary:This paper presents closed form expressions for Green functions of vibrating homogeneous Euler-Bernoulli beams subjected to constant axial preload, such as can arise from inertial effects in the case of appendages on a spinning spacecraft or can be induced mechanically. These functions are efficiently applied to the solution of vibration problems involving a beam-column connected through pins and/or elastically to ground and carrying discrete substructures of arbitrary complexity. An example for the free vibration of such a system is presented. (I.S.)
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ISSN:0022-460X
1095-8568
DOI:10.1016/0022-460X(89)90744-X