Papers by Keyword: Internal Resonance

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Authors: Xin Hua Zhang
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.
Authors: Bamadev Sahoo, L.N. Panda, Goutam Pohit
Abstract: This paper deals with two frequency parametric excitation in presence of internal resonance. The cubic nonlinearity is inserted into the equation of motion by considering the mid-line stretching of the beam. The perturbation method of multiple scales is applied directly to the governing nonlinear fourth order integro-partial differential equation of motion. This leads to a set of first order differential equations known as the reduced equations or normalized reduced equations, which are utilized to determine the additional instability zones, appeared in the trivial state stability plot, the bifurcation and stability of fixed-points, periodic, quasi-periodic, mixed mode and chaotic responses. The transition of system behaviour from stable periodic to unstable chaotic occurs through intermittency route
Authors: José Manoel Balthazar, Jorge Luis Palacios Felix, Reyolando Manoel Lopes Rabelo da Fonseca Brasil
Authors: Yu Chun Deng, Yu Shu Bian, Zhi Hui Gao
Abstract: In order to suppress vibration in flexible manipulators, a model of magneto-rheological vibration absorber based on internal resonance phenomenon between the flexible manipulator and vibration absorber is built. And the structure of magnetic circuit is designed, which is used to provide the applied magnetic field for the magneto-rheological elastomer. The total magnetic flux density in air gap of magnetic circuit is theoretically analyzed and verified via the real measured data. It is proved by frequency shift experiment on the beam structure platform that, the magneto-rheological elastomer has the adaptive ability of shifting its natural frequency as the applied electric current changes. Therefore, the magneto-rheological vibration absorber has a wider vibration absorption frequency.
Authors: Claudio Nucera, Robert Phillips, Francesco Lanza di Scalea
Abstract: Among structural concerns for the safety of rail transportation are internal flaws and thermal stresses, both of which can cause disruption of service and even derailments. Ultrasonic guided waves lend themselves to addressing both of these problems. This paper reports on two inspection systems for rails being developed at UCSD under the auspices of the US Federal Railroad Administration. Both systems utilize ultrasonic guided waves as the main probing mechanism, for the two different applications of flaw detection and thermal stress detection.
Authors: Zhi Hui Gao, Bing Dong Liu, Bo Shan
Abstract: A vibration control method is proposed to suppress nonlinear large vibration of the flexible robotic arm undergoing rigid motion. The method takes advantage of modal interaction and is implemented based on internal resonance. To attenuate vibration of the flexible arm, another vibrating system, consisting of a rigid link, a flexible joint and a damper, is introduced as a vibration absorber. Perturbation technique is used to study the transient response of the nonlinear equations of motion. Numerical simulation results preliminarily verify that the proposed control strategy is able to effectively reduce vibration of the flexible robotic arm.
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