Preprint Technical Note Version 1 NOT YET PEER-REVIEWED

Nonlinear Vibration Response of a Rectangular Tube with a Flexible End and Non-Rigid Acoustic Boundaries

  1. Department of Civil and Architectural Engineering, City University of Hong Kong, Kowloon Tong, Kowloon, Hong Kong
Version 1 : Received: 18 November 2016 / Approved: 18 November 2016 / Online: 18 November 2016 (10:13:10 CET)

How to cite: Lee, Y. Nonlinear Vibration Response of a Rectangular Tube with a Flexible End and Non-Rigid Acoustic Boundaries. Preprints 2016, 2016110098 (doi: 10.20944/preprints201611.0098.v1). Lee, Y. Nonlinear Vibration Response of a Rectangular Tube with a Flexible End and Non-Rigid Acoustic Boundaries. Preprints 2016, 2016110098 (doi: 10.20944/preprints201611.0098.v1).

Abstract

This paper addresses the analysis for the nonlinear vibration response of a rectangular tube with a flexible end and non-rigid acoustic boundaries. This is a further work of the linear structural acoustic problem in a well-known acoustic book. In fact, the acoustic boundaries of an enclosed space sometimes are non-rigid and the structural vibration responses are nonlinear. These two points are the focuses of this paper. The multi-level residue harmonic balance method is applied to this nonlinear structural acoustic problem. The results obtained from the multi-level residue harmonic balance method and numerical method are generally in good agreement. The effects of excitation magnitude, tube length, and phase shift parameter etc. are examined.

Subject Areas

nonlinear plate vibration; structural acoustics; harmonic balance method

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