Dynamic vibration analysis of cantilever beams on nonlinear fractional viscoelastic foundation under Gaussian white noise
Jingguo Qu,
Yuhuan Cui,
Mengyao Cui
et al.
Abstract:This paper presents the dynamic response of cantilever beam on
fractional-order nonlinear viscoelastic foundation subjected to Gaussian
white noise. The control equations of the cantilever beam on
viscoelastic foundation are established using Hamilton’s principle. The
problem is solved using the shifted Chebyshev polynomial algorithm, and
the control equations are transformed into a system of nonlinear
algebraic equations. Numerical examples analyse the correction error and
the second norm error, confirming th… Show more
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