A method for analyzing the interaction of nondispersive structural waves and nonlinear joints

Ali H. Nayfeh, Alexander F. Vakakis, ITariq A. Navfeh

Research output: Contribution to journalArticle

Abstract

The scattering of nondispersive structural waves by joints with stiffness and damping nonlinearities is examined. The analysis is based on the method of characteristics and the nonlinear scattering is described by a first-order nonlinear ordinary differential equation with constant coefficients. This equation is solved by analytical and numerical techniques, and the nonlinear distortions of the reflected waves are quantified by an FFT analysis. The scattering of periodic and transient incident waves from joints with cubic and clearance nonlinearities is then considered. Generally, it is found that the nonlinear distortions in the power spectrum of the reflected waves become negligible as the frequency increases. Moreover, as the linear stiffness of the joint increases the low-frequency nonlinear distortions in the spectrum become more evident. Based on the present theory, a nonparametric method for identifying the nonlinear stiffness and damping characteristics of nonlinear joints connecting axial members is developed.

Original languageEnglish (US)
Pages (from-to)849-856
Number of pages8
JournalJournal of the Acoustical Society of America
Volume93
Issue number2
DOIs
StatePublished - 1993
Externally publishedYes

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stiffness
reflected waves
damping
scattering
nonlinearity
method of characteristics
fast Fourier transformations
clearances
interactions
power spectra
differential equations
low frequencies
coefficients
Waves
Interaction
Nonlinearity

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Arts and Humanities (miscellaneous)

Cite this

A method for analyzing the interaction of nondispersive structural waves and nonlinear joints. / Nayfeh, Ali H.; Vakakis, Alexander F.; Navfeh, ITariq A.

In: Journal of the Acoustical Society of America, Vol. 93, No. 2, 1993, p. 849-856.

Research output: Contribution to journalArticle

Nayfeh, Ali H. ; Vakakis, Alexander F. ; Navfeh, ITariq A. / A method for analyzing the interaction of nondispersive structural waves and nonlinear joints. In: Journal of the Acoustical Society of America. 1993 ; Vol. 93, No. 2. pp. 849-856.
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