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
a₁ analysis approximation ASME Journal behavior bolt coefficients computed constant corresponding coupled-mode coupling crack curve damping DE-Vol deflection diagram differential equations discrete displacement dynamics eigenvalues element Engineering equations of motion equilibrium excitation amplitude excitation frequency experimental Floquet multipliers force function harmonic heave Hopf bifurcation hysteretic impact initial conditions integration internally resonant Journal of Sound limit cycle linear modes linearized system load manifolds mass matrix method modal modal analysis mode shape natural frequency Nayfeh NIOE node non-linear mode non-linear normal mode Nonlinear Vibrations numerical obtained orbit ordinary differential equations oscillator parameters parametric excitation parametric resonance phase phase plane pitch plate Poincaré section RMS responses roll motion rotating rotor rotor system shaft shown in Figure simulation Sound and Vibration stable steady-state stiffness Stirling engine structure tion transverse unstable V₁ values vector velocity wave zero