Nonlinear Vibrations: Presented at the 1993 ASME Design Technical Conferences, 14th Biennial Conference on Mechanical Vibration and Noise, Albuquerque, New Mexico, September 19-22, 1993R. A. Ibrahim, Anil K. Bajaj, Lawrence A. Bergman |
Contents
NonLinear Normal Modes Invariance and Modal Dynamics Approximations of NonLinear | 1 |
Experimental Investigation of Isolated and Simultaneous Internal Resonances in Suspended | 21 |
Nonlinear Normal Modes in a Class of Nonlinear Continuous Systems | 33 |
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Common terms and phrases
amplitude analysis Applied approximation ASME assumed bearing behavior bifurcation bolt calculated characteristics coefficients computed considered constant continuous corresponding coupling crack curve cycle damping dependent derived described determined differential equations direction discrete displacement dynamics effects element energy Engineering equations of motion example excitation exist experimental expressed Figure force frequency function given harmonic higher impact increase initial conditions integration internally resonant Journal lead limit linear linearized system load manifolds mass matrix Mechanics method modal natural frequency Nayfeh non-linear normal mode nonlinear Note numerical observed obtained occur operator orbit oscillator parameters periodic phase pitch plate predicted presented problem range ratio reference resonance respectively response roll rotating rotor shaft shape shown shows simulation solution solved stable stiffness structure theory tion transverse unstable values vertical vibration wave