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Out-of-plane dynamic response of curved beams—An analytical model

✍ Scribed by Júlio M. Montalvão e Silva; António P.V. Urgueira


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
745 KB
Volume
24
Category
Article
ISSN
0020-7683

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We present an approximate method to study the analysis for both the in-plane and out-of-plane free vibration of horizontally curved beams with arbitrary shapes and variable cross-sections. The characteristic equation for free vibration can be derived by applying the Green function, which is obtained

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The governing di!erential equations for out-of-plane vibrations of curved non-uniform beams of constant radius are derived. Two physical parameters are introduced to simplify the analysis. The explicit relations between the #exural displacement, its "rst three order derivatives and the torsional dis