Period Doubling Motions of a Nonlinear Rotating Beam at 1: 1 Resonance
暂无分享,去创建一个
[1] F. H. Ling,et al. An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems , 2007 .
[2] Hong Hee Yoo,et al. VIBRATION ANALYSIS OF ROTATING CANTILEVER BEAMS , 1998 .
[3] I. Sharf. Nonlinear Strain Measures, Shape Functions and Beam Elements for Dynamics of Flexible Beams , 1999 .
[4] S. Venturini. Continuous dynamical systems on Taut complex manifolds , 1997 .
[5] Peretz P. Friedmann,et al. Vibration analysis of composite turbopropellers using a nonlinear beam-type finite-element approach , 1989 .
[6] A. Luo,et al. On the Stability of a Rotating Blade with Geometric Nonlinearity , 2012 .
[7] Jorge L. Moiola,et al. Double Hopf Bifurcation Analysis Using Frequency Domain Methods , 2005 .
[8] Gökhan Bulut,et al. Dynamic stability of rotating blades (beams) eccentrically clamped to a shaft with fluctuating speed , 2005 .
[9] M. Yao,et al. Nonlinear vibrations of blade with varying rotating speed , 2012 .
[10] Y. K. Cheung,et al. Amplitude Incremental Variational Principle for Nonlinear Vibration of Elastic Systems , 1981 .
[11] Soon-Yi Wu,et al. Incremental harmonic balance method with multiple time scales for aperiodic vibration of nonlinear systems , 1983 .
[12] V. Ajjarapu,et al. Bifurcation theory and its application to nonlinear dynamical phenomena in an electrical power system , 1991, [Proceedings] Conference Papers 1991 Power Industry Computer Application Conference.
[13] G. L. Anderson,et al. On the extensional and flexural vibrations of rotating bars , 1975 .
[14] Luonan Chen,et al. Computation of limit cycle via higher order harmonic balance approximation and its application to a 3-bus power system , 2002 .
[15] J. C. Simo,et al. The role of non-linear theories in transient dynamic analysis of flexible structures , 1987 .
[16] A. Luo,et al. Analytical periodic motions in a parametrically excited, nonlinear rotating blade , 2013 .
[17] Y. N. Al-Nassar,et al. On the vibration of a rotating blade on a torsionally flexible shaft , 2003 .
[18] Guanrong Chen,et al. Computations of limit cycles via higher-order harmonic balance approximation , 1993, IEEE Trans. Autom. Control..
[19] Eugene L. Allgower,et al. Numerical continuation methods - an introduction , 1990, Springer series in computational mathematics.
[20] Rama B. Bhat,et al. Transverse vibrations of a rotating uniform cantilever beam with tip mass as predicted by using beam characteristic orthogonal polynomials in the Rayleigh-Ritz method , 1986 .
[21] Gökhan Bulut,et al. On nonlinear vibrations of a rotating beam , 2009 .
[22] Majid Shahgholi,et al. Two-mode combination resonances of an in-extensional rotating shaft with large amplitude , 2011 .
[23] E. Allgower,et al. Numerical Continuation Methods , 1990 .
[24] K. Hsiao,et al. A consistent finite element formulation for non‐linear dynamic analysis of planar beam , 1994 .
[25] I. Sharf,et al. Simulation of Flexible-Link Manipulators With Inertial and Geometric Nonlinearities , 1995 .
[27] Marc J. Richard,et al. A NEW DYNAMIC FINITE ELEMENT (DFE) FORMULATION FOR LATERAL FREE VIBRATIONS OF EULER–BERNOULLI SPINNING BEAMS USING TRIGONOMETRIC SHAPE FUNCTIONS , 1999 .
[28] Leon O. Chua,et al. The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems , 1979 .
[29] I. Sharf. GEOMETRICALLY NON‐LINEAR BEAM ELEMENT FOR DYNAMICS SIMULATION OF MULTIBODY SYSTEMS , 1996 .
[30] T. R. Kane,et al. Dynamics of a cantilever beam attached to a moving base , 1987 .
[31] A. J. Dentsoras,et al. Effects of vibration frequency on fatigue crack propagation of a polymer at resonance , 1995 .