Showing papers by "Yiu-Yin Lee published in 2011"
TL;DR: In this article, a high-dimensional model that can take nonlinear model coupling into account is derived, and the incremental harmonic balance (IHB) method is employed to obtain the steady-state response of the curved beam.
64 citations
TL;DR: In this paper, a multi-acoustic single structural modal formulation was derived from two coupled partial differential equations representing the nonlinear structural free vibration and the acoustic pressure induced and the approximate elliptical integral solution was obtained by solving one residual equation only, and well agrees with that obtained from a harmonic balance finite element analysis.
Abstract: The nonlinear structural–acoustic problem considered in this study is the large amplitude free vibration of a rectangular elastic plate backed by a cavity. Very few classical solutions for this nonlinear structural–acoustic problem have been developed, although there are many for nonlinear plate or linear structural–acoustic problems. Thus, the main contributions of this study paper include (1) a concise multi-acoustic single structural modal formulation that is derived from two coupled partial differential equations representing the nonlinear structural free vibration and the acoustic pressure induced and (2) the approximate elliptical integral solution that is obtained by solving one residual equation only, and well agrees with that obtained from a harmonic balance finite element analysis. It is found that the natural frequency convergences with the increase in the numbers of acoustic modes and harmonic terms, and the effects of vibration amplitude, air cavity depth, and aspect ratio on the nonlinear natural frequency are also examined.
24 citations
TL;DR: In this article, the authors used the internally resonant energy transfer from the symmetrical to anti-symmetrical modes of a simply supported curved beam isolator to enhance the isolation performance and reduce the source mass vibration.
16 citations
TL;DR: In this paper, the nonlinear vibration of an axially moving beam subject to periodic lateral forces is analyzed using the Hamilton's Principle, and the stable and unstable periodic solutions are obtained by employing the multivariable Floquet theory and incremental harmonic balance method.
Abstract: This article analyzes nonlinear vibration of an axially moving beam subject to periodic lateral forces. The governing equation of the beam vibration is developed using Hamilton's Principle. The stable and unstable periodic solutions are obtained by employing the multivariable Floquet theory and incremental harmonic balance (IHB) method. In the solution procedure, Hsu's method is applied for computing the transition matrix at the end of one period. The effects of internal resonance on the beam responses are discussed. The periodic solutions obtained from the IHB method are in good agreement with the results obtained from numerical integration.
7 citations