A Computational Technique for Free Vibration Response of a 2-DOF Parametric System

In this paper, a closed-form solution is presented for the free vibration response of a 2-DOF parametric system by a technique with special trigonometric series. The technique extends the concept o...

[1]  Dishan Huang,et al.  Free response approach in a parametric system , 2017 .

[2]  Panagiotis Alevras,et al.  Stochastic rotational response of a parametric pendulum coupled with an SDOF system , 2014 .

[3]  T. D. Burton,et al.  On the Reduction of Nonlinear Structural Dynamics Models , 2000 .

[4]  Jonathan A. Wickert,et al.  Modal analysis of the steady state response of a driven periodic linear system , 1995 .

[5]  Dishan Huang Forced response approach of a parametric vibration with a trigonometric series , 2015 .

[6]  Weidong Zhu,et al.  Energetics and Stability of Translating Media with an Arbitrarily Varying Length , 2000 .

[7]  Shiyu Wang,et al.  Analytical estimation on divergence and flutter vibrations of symmetrical three-phase induction stator via field-synchronous coordinates , 2017 .

[8]  Christophe Pierre,et al.  Modal analysis-based reduced-order models for nonlinear structures : An invariant manifold approach , 1999 .

[9]  Chang-Ping Chen,et al.  Multiple Parametric Resonances of Taut Inclined Cables Excited by Deck Vibration , 2018 .

[10]  J. David,et al.  Using Transfer Matrices for Parametric System Forced Response , 1987 .

[11]  Fulei Chu,et al.  Parametric instability of a Jeffcott rotor with rotationally asymmetric inertia and transverse crack , 2013 .

[13]  E. Gourdon,et al.  Control of time-periodic systems via symbolic computation with application to chaos control , 2005 .

[14]  Eric A. Butcher,et al.  Order reduction of nonlinear systems with time periodic coefficients using invariant manifolds , 2005 .

[15]  Lianhua Wang,et al.  On the symmetric modal interaction of the suspended cable: Three-to-one internal resonance , 2006 .

[16]  Jian Deng,et al.  Stochastic Stability of Gyroscopic Systems Under Bounded Noise Excitation , 2017 .

[17]  S. Sinha,et al.  Analysis of dynamic systems with periodically varying parameters via chebyshev polynomials , 1993 .

[18]  G. Gaonkar,et al.  On computing Floquet transition matrices of rotorcraft , 1981 .

[19]  Bernt J. Leira,et al.  Efficient Monte Carlo simulation and Grim effective wave model for predicting the extreme response of a vessel rolling in random head seas , 2016 .

[20]  S. Sinha,et al.  An efficient computational scheme for the analysis of periodic systems , 1991 .