Nonlinear Normal Modes of a Cantilever Beam
1995 ◽
Vol 117
(4)
◽
pp. 477-481
◽
Keyword(s):
Two approaches for determination of the nonlinear planar modes of a cantilever beam are compared. In the first approach, the governing partial-differential system is discretized using the linear mode shapes and then the nonlinear mode shapes are determined from the discretized system. In the second approach, the boundary-value problem is treated directly by using the method of multiple scales. The results show that both approaches yield the same nonlinear modes because the discretization is performed using a complete set of basis functions, namely, the linear mode shapes.
2013 ◽
Vol 325-326
◽
pp. 214-217
Keyword(s):
Keyword(s):
2013 ◽
Vol 332
(20)
◽
pp. 5151-5161
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Keyword(s):
1995 ◽
Vol 117
(2)
◽
pp. 199-205
◽
1994 ◽
Vol 116
(3)
◽
pp. 332-340
◽