Dynamics of Forced Nonlinear Systems Using Shooting/Arc-Length Continuation Method—Application to Rotor Systems
作者： P. Sundararajan , S. T. Noah
DOI: 10.1115/1.2889694
关键词:
摘要: … are calculated by solving a linear set of algebraic equations. … and additional numerical differentiation is involved in evaluat… The above iterative procedure for computation of a point on …
asme.org
sci-hub.se 参考文章(15)
L. E. Barrett, E. J. Gunter, P. E. Allaire, Design And Application Of Squeeze Film Dampers For Turbomachinery Stabilization Texas A&M University. Gas Turbine Laboratories. ,(1975) , 10.21423/R1T37D
Yves Pomeau, Paul Manneville, Intermittent transition to turbulence in dissipative dynamical systems Communications in Mathematical Physics. ,vol. 74, pp. 189- 197 ,(1980) , 10.1007/BF01197757
Thomas S. Parker, Leon O. Chua, Practical Numerical Algorithms for Chaotic Systems ,(1989)
Y. B. Kim, S. T. Noah, Bifurcation analysis for a modified Jeffcott rotor with bearing clearances Nonlinear Dynamics. ,vol. 1, pp. 221- 241 ,(1990) , 10.1007/BF01858295
H.B. Stewart, J.M.T. Thompson, Rick Turner, Nonlinear Dynamics and Chaos ,(2002)
Mitchell J. Feigenbaum, Universal behavior in nonlinear systems Physica D: Nonlinear Phenomena. ,vol. 7, pp. 16- 39 ,(1983) , 10.1016/0167-2789(83)90112-4
Mobolaji Aluko, Hsueh-Chia Chang, PEFLOQ: An algorithm for the bifurcational analysis of periodic solutions of autonomous systems Computers & Chemical Engineering. ,vol. 8, pp. 355- 365 ,(1984) , 10.1016/0098-1354(84)90005-X
Rüdiger Seydel, From Equilibrium to Chaos: Practical Bifurcation and Stability Analysis ,(1988)
S. Newhouse, D. Ruelle, F. Takens, OCCURRENCE OF STRANGE AXIOM A ATTRACTORS NEAR QUASI PERIODIC FLOWS ON TM, M IS GREATER THAN OR EQUAL TO 3 Communications in Mathematical Physics. ,vol. 64, pp. 35- 40 ,(1978) , 10.1007/BF01940759
C. Nataraj, H. D. Nelson, Periodic Solutions in Rotor Dynamic Systems With Nonlinear Supports: A General Approach Journal of Vibration and Acoustics-transactions of The Asme. ,vol. 111, pp. 187- 193 ,(1989) , 10.1115/1.3269840