Nonlinear Resonance Analysis

Nonlinear resonance
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A generic input-output analysis of zero-dispersion nonlinear resonance | EPL

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Enterprise Surveillance Manager. Sutre, Gregoire; Weimer, Westley. But future being buyers Possible download, ultimately empty accounts of which are the empty troposphere to using a remote drilling. Due to the rollers chatter, either the bright and dark stripes or the visible thickness difference can come into existence, which will seriously affect the quality and accuracy of products.

For studying the characteristics and mechanism of vertical vibration, a lumped- mass model is established, in which nonlinear damper between top and bottom working roller are considered, and the rollers are connected with mill housing by nonlinear spring components. By means of the multiple-scales approach, the first-order analytical approximations of steady-state periodic solutions describing the primary resonance, super-harmonic resonance and sub-harmonic resonance are individually investigated.

Download Nonlinear Resonance Analysis Theory Computation Applications

Through graphically depicting the amplitude- frequency response equations, the jump phenomena caused by nonlinear parameters are analyzed and numerically simulated. In addition, on the basis of the corresponding autonomous system, the stability of equilibrium solutions and self-excited periodic vibration is studied by using the Lyapunov stability theorem, and verified through numerical simulation of time- history and phase-plane trajectory.

These research results are significant to reveal the mechanism of chatter, optimize the technology condition and improve the product quality in practical rolling process. Sign In or Create an Account. Sign In. Advanced Search. Close mobile search navigation. Abstract Article info and citation First page References Abstract The structural acoustic problem considered in this study is the nonlinear resonant frequencies of a rectangular tube with one open end, one flexible end, and four rigid side walls A multiacoustic single structural modal formulation is derived from two coupled partial differential equations which represent the large amplitude structural vibration of the flexible end and acoustic pressure induced within the tube.

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Frommhold, H. Fuchs, and S. Nakanishi, K.