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REVIEW ARTICLES

Geometry and Strength of General Helicoidal Shells

[+] Author and Article Information
S. N. Krivoshapko

Russian Peoples’ Friendship University, Moscow, Russia

Appl. Mech. Rev 52(5), 161-175 (May 01, 1999) (15 pages) doi:10.1115/1.3098932 History: Online April 14, 2009

Abstract

The geometry of helical surfaces has been well studied. Several available methods of strength analysis of helicoidal shells give one a choice in solving one-dimensional or two-dimensional problems. The basic problems considered in this review article, which contains 181 references, include geometrical research, approximation and bending of helical surfaces, static analysis of helicoidal shells by analytic and numerical methods, the vibrations of pre-twisted cantilevered plates, helical tubular shells, the generation of helical surfaces by mated surface of revolution, and the application of the helicoidal constructions.

Copyright © 1999 by American Society of Mechanical Engineers
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