Research studies aiming at examination and formulation of a dynamic analog to Saint-Venant’s principle (DSVP) are critically reviewed. Article concentrates on isotropic homogeneous linear elastic response over a range of structural geometries including waveguides, with either free or constrained lateral surfaces, half space, wedges and cones. Nearly 140 DSVP related references are covered starting with early ideas by Boley. A special chapter is dedicated to available experimental work on end effects and decay rate in dynamically excited structures. Current thinking on possible versions of DSVP is classified into several categories, one of which, the dynamic equivalence, is compatible with much of known experimental data and has been tacitly applied at various engineering situations. That observation provides inspiring ground for renewed interest in both practical and theoretical aspects of DSVP.
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March 2011
Review Articles
Saint-Venant’s Principle in Dynamics of Structures
B. Karp,
B. Karp
Department of Mechanical Engineering,
e-mail: bkarp@bgu.ac.il
Ben-Gurion University of the Negev
, P.O.B., 653, Beer-Sheva 84105, Israel
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D. Durban
D. Durban
Faculty of Aerospace Engineering, Technion,
Israel Institute of Technology
, Haifa, 32000, Israel
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B. Karp
Department of Mechanical Engineering,
Ben-Gurion University of the Negev
, P.O.B., 653, Beer-Sheva 84105, Israel
e-mail: bkarp@bgu.ac.il
D. Durban
Faculty of Aerospace Engineering, Technion,
Israel Institute of Technology
, Haifa, 32000, Israel
Appl. Mech. Rev. Mar 2011, 64(2): 020801 (20 pages)
Published Online: October 27, 2011
Article history
Received:
February 11, 2011
Revised:
August 11, 2011
Online:
October 27, 2011
Published:
October 27, 2011
Citation
Karp, B., and Durban, D. (October 27, 2011). "Saint-Venant’s Principle in Dynamics of Structures." ASME. Appl. Mech. Rev. March 2011; 64(2): 020801. https://doi.org/10.1115/1.4004930
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