Periodic, quasi-periodic, and chaotic geometrically nonlinear forced vibrations of a shallow cantilever shell

被引：0
作者：
K. V. Avramov
S. E. Malyshev
机构：
[1] National Academy of Science of Ukraine,Department of Vibrations, Podgorny Institute for Mechanical Engineering
[2] National Technical University “KhPI”,Department of Continuum Mechanics
来源：
Acta Mechanica | 2018年 / 229卷
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摘要：
Geometrically nonlinear forced vibrations of a cantilever shallow shell are analyzed. A finite degree of freedom nonlinear dynamical system is derived using the assumed mode method. The Neimark–Sacker bifurcations are detected close to the first principal resonance. The quasi-periodic vibrations, which originate from these bifurcations, are investigated numerically. These vibrations are transformed into chaotic motions as a result of the forcing frequency variation. Sub-harmonic vibrations with large amplitudes are analyzed in a wide forcing frequency range close to the second principal resonance.
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页码：1579 / 1595
页数：16
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