TY - JOUR
T1 - Symmetry and bifurcation of a three-hinged rod
AU - Leung, A. Y T
AU - Rajendran, S.
PY - 1996/12
Y1 - 1996/12
N2 - Postbuckling of a three-hinged rod under conservative compressive force is considered. The equations for the system are nonlinear and possess some interesting symmetry properties. The group theoretic methods provide powerful mathematical tools to model and exploit the symmetry properties of a problem. In this paper the symmetry properties of the three-hinged rod problem are explored, and the use of symmetry groups to reduce the problem size is demonstrated. The equations are solved for typical values of parameters and the results are presented. The symbolic computer software, Mathematica, is used for developing explicit equations and their numerical solution.
AB - Postbuckling of a three-hinged rod under conservative compressive force is considered. The equations for the system are nonlinear and possess some interesting symmetry properties. The group theoretic methods provide powerful mathematical tools to model and exploit the symmetry properties of a problem. In this paper the symmetry properties of the three-hinged rod problem are explored, and the use of symmetry groups to reduce the problem size is demonstrated. The equations are solved for typical values of parameters and the results are presented. The symbolic computer software, Mathematica, is used for developing explicit equations and their numerical solution.
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M3 - 21_Publication in refereed journal
VL - 6
SP - 2401
EP - 2409
JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
SN - 0218-1274
IS - 12 A/B
ER -