Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2007; 44(3): 707-717

Printed May 1, 2007

Copyright © The Korean Mathematical Society.

The variational theory of a circular arch with torsional springs at both edges

JaeGwi Go

Chonnam National University

Abstract

Arches are constrained with rotational resistance at both edges. An energy method is used to derive variational formulation which is used to prove the existence of equilibrium states of elastic circular arches for the torsional spring constants $\rho_{-} \geq 0 $, $\rho_{+} \geq 0 $, and $\rho_{-} + \rho_{+} > 0 $. The boundary conditions are searched using the existence of minimum potential energy.

Keywords: arches, buckling, equilibrium state, rotational resistance

MSC numbers: 74G65

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