期刊
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS
卷 11, 期 1, 页码 -出版社
ASME
DOI: 10.1115/1.4029905
关键词
axially accelerating beams; bifurcation diagrams; three-dimensional (3D) modeling; nonlinear dynamical behavior
资金
- University of Wollongong
The three-dimensional (3D) nonlinear dynamics of an axially accelerating beam is examined numerically taking into account all of the longitudinal, transverse, and lateral displacements and inertia. Hamilton's principle is employed in order to derive the nonlinear partial differential equations governing the longitudinal, transverse, and lateral motions. These equations are transformed into a set of nonlinear ordinary differential equations by means of the Galerkin discretization technique. The nonlinear global dynamics of the system is then examined by time-integrating the discretized equations of motion. The results are presented in the form of bifurcation diagrams of Poincare maps, time histories, phase-plane portraits, Poincare sections, and fast Fourier transforms (FFTs).
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