Yasai Nie, Tieding Guo, Yunyue Cong, Wanzhi Qiao, Houjun Kang
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Detuned multiple scale analysis for improving high-amplitude prediction of nonlinear systems
Combined with a frequency detuning idea, i.e., linearization of nonlinear systems around its nonlinear response frequency rather than traditional linear natural frequency, a detuned multiple scale method (dMSM) is investigated by a full evaluation of its performance when being applied to cubic nonlinear systems with either geometrically cubic stiffness or cubic damping, i.e., a hinged–hinged beam and a generalized Van der Pol oscillator. By detailed comparison with standard MSM and focusing on frequency response and backbone curves, it is found that (detuned) dMSM demonstrates a superior performance in prediction of high-amplitude nonlinear behaviors (with weakly nonlinear assumption still valid), for both a geometrically cubic beam and a cubic damped oscillator.
期刊介绍:
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.