Constructing the Frequency-Energy Plot of Nonlinear Vibratory Systems via the Modified Lindstedt-Poincaré Method

Xin Hua Zhang

doi:10.4028/www.scientific.net/AMR.655-657.547

Paper Titles

Numerical Analysis for the Stability of Cylinder Gas Film Seal
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Research on Configuration-Complete Dynamic Modeling of Metamorphic Mechanism Based on Screw Theory
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Study on Dynamic Characteristic of Internal Parallel Moving Gears Transmission with Balance Structure
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Analysis about the Influence of Load on Loss of the Ceramic Spindle
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Constructing the Frequency-Energy Plot of Nonlinear Vibratory Systems via the Modified Lindstedt-Poincaré Method
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Forced Vibration of Rotor Suppressed by a Automatic Ball Balancer (Nonlinear Principal Resonances)
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Study on the Dynamic Characteristics of Automobile Tire
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Vibro-Acoustics Characteristics of Non-Uniform Ring Stiffened Cylindrical Shells Using Wave Propagation Approach
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Simulation Research of Six-Bar Slider-Crank Mechanism
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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 655-657Constructing the Frequency-Energy Plot of...

Constructing the Frequency-Energy Plot of Nonlinear Vibratory Systems via the Modified Lindstedt-Poincaré Method

Abstract:

The frequency-energy plot(FEP) of nonlinear vibration systems is a powerful tool for investigating the energy transfer phenomena related wiht the internal resonances occured in multi-digreeof- freedom(Multi-DOF) nonlinear vibration systems. In this paper, the modified Lindstedt-Poincare method is employed for constructing the FEP of a two-DOF nonlinear vibrating systems. First, the original vibartion equations are modified for the application of the modified Linstedt-Poincaré method. Then, by using the modified Linstedt-Poincaé method, the nonlinear normal modes(NNMs) of the system are obtained. Finally, the frequency-energy plot of the system is constructed analytically. Numerical results show that the method adopted in this paper is effective and accurate.