A spline finite point method was presented to study the natural frequency of arch. The displacement mode shape function of the arch free vibration was simulated with a linear combination of cubic B spline. The free vibration frequency equation of arch structures was derived according to Hamilton principle, in which the effect of the dead load was considered. Meanwhile, the effect of the dead load on the natural frequency of arch structures was analyzed. The results show that the natural frequency of arch is reduced. The effect of influence depends on the stiffness of the arch itself. When the arch stiffness is certain, the bigger the rise span ration and the radius to thickness ration, the higher the effect of the dead load on the natural frequency of arch structures.
康婷,许金余,白应生,孙惠香,李庆.恒载效应对拱结构自振频率的影响分析[J].动力学与控制学报,2014,12(1):62~66; Kang Ting, Xu Jinyu, Bai Yingsheng, Sun Huixiang, Li Qing. Spline finite point method for analyzing the effect of dead loads on natural frequencies of arch[J]. Journal of Dynamics and Control,2014,12(1):62-66.复制