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Dynamics of Forced Nonlinear Systems Using Shooting/Arc-Length Continuation Method—Application to Rotor Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The analysis of systems subjected to periodic excitations can be highly complex in the presence of strong nonlinearities. Nonlinear systems exhibit a variety of dynamic behavior that includes ...
A Generalized Hill’s Method for the Stability Analysis of Parametrically Excited Dynamic Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A method is described for investigating the stability of the null solution for a general system of linear second-order differential equations with periodic coefficients. The method is based on ...
A Convolution Approach for the Transient Analysis of Locally Nonlinear Rotor Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A computationally efficient convolution method, based on discretized impulse response and transition matrix integral formulations, is developed for the transient analysis of complex linear structures ...
Stability and Bifurcation Analysis of Oscillators With Piecewise-Linear Characteristics: A General Approach
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A general approach is developed for determining the periodic solutions and their stability of nonlinear oscillators with piecewise-smooth characteristics. A modified harmonic balance/Fourier transform ...
Periodic Response of a Link Coupling With Clearance
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The nonlinear, steady-state response of a displacement-forced link coupling with clearance with finite stiffness is determined. The solution procedure is derived from satisfying the boundary ...
Experimental Verification of Subcritical Whirl Bifurcation of a Rotor Supported on a Fluid Film Bearing
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The paper presents the results of the experiments that were conducted on a short fluid film bearing with a simple single disk rotor. The behavior of the journal was analyzed as a function ...
Steady-State Analysis of a Nonlinear Rotor-Housing System
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The periodic steady-state response of a high-pressure oxygen turbopump (HPOTP) of a space shuttle main engine (SSME), involving a clearance between the bearing and housing carrier, is sought. A ...
Detecting Parameter Changes Using Experimental Nonlinear Dynamics and Chaos
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A method of detecting parameter changes using analytical and experimental nonlinear dynamics and chaos is applied to a piecewise-linear oscillator. Experimental data show the chaotic nature of ...
Parametric Identification of a Vibratory System With a Clearance
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: An analytical and experimental investigation of a vibratory system with a clearance was conducted. A finite element model and an equivalent single-degree-of-freedom closed-form solution were used ...
Effect of Tangential Torque on the Dynamics of Flexible Rotors
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The effect of tangential load torque on the dynamics of rotors has been studied analytically using both cantilevered and between-bearing rotor models. External damping, distributed shaft mass, ...
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