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HAMILTON'S PRINCIPLE FOR EXTERNAL VISCOUS FLUID–STRUCTURE INTERACTION

✍ Scribed by H. BENAROYA; T. WEI

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
914 KB
Volume
238
Category
Article
ISSN
0022-460X

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✦ Synopsis

Hamilton's principle is extended so as to be able to model external #ow}structure interaction. This is accomplished by using Reynold's Transport theorem. In this form, Hamilton's principle is hybrid in the sense that it has an analytical part as well as a part that depends on experimentally derived functions. Examples are presented. The discussion on implications and extensions is extensive. In this work, a general theory is developed for the case where the con"guration is not prescribed at the end times of the variational principle. This leads to a single governing equation of motion. This limitation can be removed by prescribing the end times, as usually done. This is outlined in the present paper, and will be the subject of a future paper.

A detailed discussion is also presented of the experimental work performed in parallel with and in support of the theoretical developments. As a true #uid-structural model, it is necessary to fully couple the dynamics. This has been the foundation of our formulation.

2000 Academic Press

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