... analytically by using the equivalent linearization technique which involves input-output relationships for the equivalent linear system, the stiffness and damping coefficients of which are response-amplitude dependent. The derived results are compared with pertinent numerical data obtained by integrating...

... matrix are satisfied. 01 07 2005 28 10 2005 vibrations vibration control damping time-varying systems linear systems asymptotic stability elastic constants Lyapunov methods In this note we investigate the stability of linear second order systems with a time varying...

...Albert C. J. Luo The criteria for the grazing bifurcation of a periodically forced, piecewise linear system are developed and the initial grazing manifolds are obtained. The initial grazing manifold is invariant. The grazing flows are illustrated to verify the analytic prediction of grazing...

... on multiple high-frequency excitation. vibration isolation nonlinear dynamical systems vibrations nonlinear control systems linear systems control system synthesis dynamic response acoustic resonance three-term control feedback linearisation techniques torque control elastic constants...

... , C. , Wang , D. J. , and Chou , S. H. , 2004 , “ Vibration Analysis of Non-Classically Damped Linear Systems ,” ASME J. Vibr. Acoust. , 126 , pp. 456 – 458 . Desoer, C. A., and Vidyasagar, M., 1975, Feedback Systems: Input-Output Properties , Academic, New York. Ilchmann...

... is lower than the fundamental natural frequency of the linear system. The computational advantage of the reduced-order model is clear from the results presented. Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS . Manuscript received...

.... Previous studies have shown that input shaping can be used on linear systems to produce point-to-point motion with no residual vibration. This paper extends command-shaping theory to nonlinear systems, specifically systems with Coulomb friction. This idea is applied to a PD-controlled mass with Coulomb...

... Editor: S. C. Sinha. 01 Aug 1999 time-varying systems linear systems optimisation variational techniques state-space methods Time-varying linear dynamic systems can be written in the following form: (1) X ∸ = A ¯ t X ¯ + B ¯ t U where A ¯ t...