TY - GEN
T1 - Zeroth-order corrections to the Euler-Bernoulli beam model
AU - Dankowicz, Harry
AU - Lacarbonara, Walter
PY - 2010
Y1 - 2010
N2 - This paper compares the frequency-amplitude relationship for nonlinear oscillations of a geometrically nonlinear model of a slender beam in the absence of damping with the corresponding predictions from the Mettler model for the transverse motion. In particular, the analysis shows that the Mettler model fails to account for a constant, amplitude-independent shift in the nonlinear frequency relative to the linear frequency caused by rotary inertia terms.
AB - This paper compares the frequency-amplitude relationship for nonlinear oscillations of a geometrically nonlinear model of a slender beam in the absence of damping with the corresponding predictions from the Mettler model for the transverse motion. In particular, the analysis shows that the Mettler model fails to account for a constant, amplitude-independent shift in the nonlinear frequency relative to the linear frequency caused by rotary inertia terms.
UR - http://www.scopus.com/inward/record.url?scp=80054975960&partnerID=8YFLogxK
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U2 - 10.1115/DETC2010-28314
DO - 10.1115/DETC2010-28314
M3 - Conference contribution
AN - SCOPUS:80054975960
SN - 9780791844137
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 827
EP - 833
BT - ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2010
T2 - ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2010
Y2 - 15 August 2010 through 18 August 2010
ER -