No . 02 - 02 Architectural Information Systems Laboratory Department of Architecture and Architectural Systems Kyoto university
نویسندگان
چکیده
The minimum principle of complementary energy is established for cable networks involving only stress components as variables in geometrically nonlinear elasticity theory. The stress-strain relation is assumed to be piecewise linear. It is rather amazing that the complementary energy always attains minimum value at the equilibrium state irrespective of the stability of cable networks, contrary to the fact that only the stationary principles have been presented for elastic trusses and continua even in the case of stable equilibrium state. In order to show the strong duality between the minimization problems of total potential energy and complementary energy, the convex formulations of these problems are investigated based on the property of self-dual cone. The reciprocal formulations for the minimization problems of total potential energy and complementary energy are presented, which may be used to develop the force method. The existence and uniqueness of solution are also investigated for the minimization problem of complementary energy.
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