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Catenary Equation-Based Approach for Force Finding of Cable Domes
Zhengrong Jiang,Xiaowei Liu,Kairong Shi,Quanpan Lin,Zijian Zhang 한국강구조학회 2019 International Journal of Steel Structures Vol.19 No.1
Cable forces along the cable length direction vary with deadweight. An invariant that is horizontal component force along the cable length, is introduced to characterize prestress distribution of cable domes. A new approach named catenary equationbased component force balancing method, is proposed for force fi nding. In the method, the relationship between the form and the horizontal component force of the cable is determined according to catenary equation of the cable. Based on the horizontal component force of one cable, the horizontal component forces of other cables can be solved from the nodal equilibrium relationship. Take the Geiger cable dome as an example, the results of force fi nding show that the proposed method has clear mechanical concept, high calculation accuracy and simple solving process. Thus, it can provide a new general idea for force fi nding of cable domes. In addition, the diff erence of the results of force fi nding is large between with deadweight considered and with deadweight ignored. Therefore, deadweight should be considered during the prestress design of cable domes.
Bounded Traveling Wave Solution of a Nonlinear Equation
Jiang Tao,Yang Zhiyan,Liu Zhengrong 경북대학교 자연과학대학 수학과 2003 Kyungpook mathematical journal Vol.43 No.1
Bifurcation method of dynamical systems is applied to investigate traveling waves of nonlinear equation[a(1 + bu)u ]ux + uxxx = 0with =a,= > 0. Parameter space is partitioned. Types of bounded traveling waves are shown, that is, the equation has three types of bounded traveling waves, solitary waves,periodic waves and domain wall waves. When integral constant is zero, explicit expressions of bounded traveling wave solutions are obtained.