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RESEARCH PAPERS

Nonlinear Shell Dynamics—Intrinsic and Semi-Intrinsic Approaches

[+] Author and Article Information
A. Libai

Department of Aeronautical Engineering, Technion – Israel Institute of Technology, Haifa 32000, Israel

J. Appl. Mech 50(3), 531-536 (Sep 01, 1983) (6 pages) doi:10.1115/1.3167086 History: Received May 01, 1982; Revised January 01, 1983; Online July 21, 2009

Abstract

The intrinsic approach to the nonlinear dynamics of shells, which was introduced in [6], is reviewed and extended by the addition of appropriate initial and boundary conditions of the dynamic and kinematic types to the field equations. The alternative semi-intrinsic velocity approaches (where the velocity components supply the connection between the equations of motion and the time rates of the metric and curvature) are also presented. Both linear and rotational velocity forms are included. The relative merits of these approaches to shell dynamics are discussed and compared with extrinsic approaches.

Copyright © 1983 by ASME
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