A Mixture Theory for Response Fields in Complex Structures

[+] Author and Article Information
G. Gillette

Department of Civil Engineering, The Catholic University of America, Washington, DC 20064

J. Vib. Acoust 115(4), 516-523 (Oct 01, 1993) (8 pages) doi:10.1115/1.2930380 History: Received March 01, 1991; Revised December 01, 1992; Online June 17, 2008


A formal procedure is developed for the calculation of fields when two (or more) component subsystems are thoroughly interlocked, so that their surface of contact extends through the total structure. Such a structure can properly be termed a structural mixture . An example is a system of frames and ribs which is completely covered by and connected to an outer skin (or shell) at a large number of points. The coupling between subsystems is accounted for in a global fashion, using Green’s functions for each of the subsystems, together with matching conditions at their interface. This leads in general to a pair of coupled integral equations, each giving the response in one of the two interpenetrating subsystems. For a disparate structural mixture comprised of “weakly-coupled” subsystems, the Green’s functions used are obtained for complementary (i.e., non-equivalent) homogeneous interface conditions. The equations can then be solved by an alternating perturbation procedure, which gives rise to a pair of coupled series. The procedure is applied to the calculation of waves in a beam stiffened at various points along its length by contact with a second subsystem. Numerical results are presented and their convergence is discussed.

Copyright © 1993 by The American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.





Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In