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Keywords: method of multiple scales
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Journal Articles
Journal:
Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. February 2012, 134(1): 011008.
Published Online: December 28, 2011
... of the beam. The governing equations are linearized into the governing equation in the transverse direction and the expression of the longitudinally varying tension. The method of multiple scales is employed to analyze the parametric stability of transverse motion. The stability boundaries are derived from...
Journal Articles
Journal:
Journal of Vibration and Acoustics
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. April 2009, 131(2): 021011.
Published Online: February 19, 2009
... nondimensional temporal form by using the generalized Galerkin method. The temporal equation of motion of the system contains nonlinearities of geometric and inertial types along with parametric excitation and nonlinear damping terms. Method of multiple scales is used to determine the instability region...
