J. Korean Math. Soc. 2007; 44(3): 707-717
Printed May 1, 2007
Copyright © The Korean Mathematical Society.
JaeGwi Go
Chonnam National University
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
1998; 35(1): 135-148
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd