GENERALIZED VARIATIONAL PRINCIPLE ON NONLINEAR THEORY OF NATURALLY CURVED AND TWISTED CLOSED THIN-WALLED COMPOSITE BEAMS  

作　　者：虞爱民 

出　　处：《Applied Mathematics and Mechanics(English Edition)》2000年第3期327-334,共8页应用数学和力学（英文版）

摘　　要：Naturally curved and twisted closed thin-walled slender beams of composite material undergoing small strains, large displacements and rotations have been investigated, and an incomplete generalized variational function on theory of elasticity with finite displacement is established far these beams with complete constrained boundaries at two ends. The balance equations as well as all boundary conditions concerned have been deduced from functional stationary value condition. The above-mentioned method can also be extended to other various incomplete constrained boundaries conveniently. In addition, the fundamental equations and concerned formulas in the small displacement theory of the beams can be derived by using above results.Naturally curved and twisted closed thin-walled slender beams of composite material undergoing small strains, large displacements and rotations have been investigated, and an incomplete generalized variational function on theory of elasticity with finite displacement is established far these beams with complete constrained boundaries at two ends. The balance equations as well as all boundary conditions concerned have been deduced from functional stationary value condition. The above-mentioned method can also be extended to other various incomplete constrained boundaries conveniently. In addition, the fundamental equations and concerned formulas in the small displacement theory of the beams can be derived by using above results.

关 键 词：generalized variational principle geometric nonlinear finite displacement 

分 类 号：O342[理学—固体力学]