Modeling on gravity stiffness of suspension bridges by finite element method of geometric nonlinearity
The mathematical description on gravity stiffness of suspension bridges is introduced by using the classical theory of elastic catenary. The secant and tangent expressions of gravity stiffness are derived, and the analytic relation between horizontal force and displacement of a suspension cable is nondimensionalized and farther expressed in the form of relative curve figure. The analytic solution of gravity stiffness is modeled by geometrically nonlinear finite element method (FEM) with multi-link elements. To model a segment of catenary with common sag-span ratio of suspension bridges, 2-6 links are suitable in perfect accuracy of relative error 1％-0.1％. Since geometrically nonlinear FEM can conveniently model the gravity stiffness of suspension bridges, the attempts of constituting curved cable elements are not necessary.
De-can Yang
Department of Road & Bridge Engineering, Wuhan University of Technology, Wuhan 430063, China
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
537-541
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）