Zeroth-Order Corrections to the Euler-Bernoulli Beam Model
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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.
2020 ◽
Vol 8
(4)
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pp. 345-371
2020 ◽
Vol 207
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pp. 113-131
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2020 ◽
Vol 83
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pp. 266-283
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2020 ◽
Vol 186
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pp. 105902
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2019 ◽
Vol 40
(11)
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pp. 1561-1588
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2016 ◽
Vol 30
(28n29)
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pp. 1640011
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2010 ◽
Vol 224
(2)
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pp. 497-503
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