Nonconservative Components of Follower Forces in the Classical Shell Theory

[+] Author and Article Information
Wolf Altman

Escola Politécnica da Universidade de São Paulo, C.P. 61548, São Paulo, SP, 01000, Brazil and Instituto Tecnológico de Aeronáutica, CTA, São José dos Campos, SP, 12225, Brazil

Luiz Bevilacqua

COPPE, Universidade Federal do Rio de Janeiro, RJ, 21945, Brazil

Appl. Mech. Rev 42(11S), S13-S19 (Nov 01, 1989) doi:10.1115/1.3152383 History: Online June 03, 2009


An analysis of follower forces acting on shell structures is presented. Attention is focussed on the expressions of such forces as functions of the generalized displacements. Specific expressions for the follower forces are obtained, according to the order of magnitude of the strains and angles of rotation. For small strains the follower forces allow a decomposition into conservative and non-conservative components. This leads to the equations of dynamic stability of shell problems subjected to follower loads. The dynamic counterparts of Donnell-Mushtari-Vlasov stability equations are presented, by either retaining or omitting the prebuckling rotations.

Copyright © 1989 by The American Society of Mechanical Engineers
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