Differential equation of large deformation curve for cables bending in vertical plane and its numerical solution method
For the natural bending hoses and flexible cables often used in civil and industrial applications,5 common characteristics are summarized as the basic assumptions of the cables researched in this paper.Based on these assumptions and according to the force and stress analysis,the differential equation of the large deformation curve for cables bending in the vertical plane is derived for the first time.The corresponding equations for solving the large deformation curves under various end constraints are listed.It is proved that catenary and pure bending curves are special cases of this paper.A progressive method for obtaining numerical solutions is proposed with a specific example for the case of clamped-clamped boundary constraints.The reasons for the existence of multiple solutions are given and the method to compare the stability of different solutions is discussed.
cablelarge deformation curvebending in the vertical planefunctional extremumnumerical solutions method
万方数据
维普
