A new method to determine the shear coefficient of Timoshenko beam theory
Publication in refereed journal

香港中文大學研究人員

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其它資訊
摘要The frequencies omega of flexural vibrations in a uniform beam of arbitrary cross-section and length L are analysed by expanding the exact elastodynamics equations in powers of the wavenumber q = m pi/L, where m is the mode number: omega(2) = A(4)q(4) + A(6)q(6) + ... . The coefficients A(4) and A(6) are obtained without further assumptions; the former captures Euler-Bernoulli theory while the latter, when compared with Timoshenko beam theory rendered into the same form, unambiguously yields the shear coefficient kappa for any cross-section. The result agrees with the consensus best values in the literature, and provides a derivation of K that does not rely on physical assumptions. (C) 2011 Elsevier Ltd. All rights reserved.
著者Chan KT, Lai KF, Stephen NG, Young K
期刊名稱Journal of Sound and Vibration
出版年份2011
月份7
日期4
卷號330
期次14
出版社ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
頁次3488 - 3497
國際標準期刊號0022-460X
電子國際標準期刊號1095-8568
語言英式英語
Web of Science 學科類別Acoustics; ACOUSTICS; Engineering; Engineering, Mechanical; ENGINEERING, MECHANICAL; Mechanics; MECHANICS

上次更新時間 2021-07-05 於 01:23