多跨输电线平面振动特性的传递矩阵法分析

推导了无抗弯刚度弹性浅悬链线的平面上下振动微分方程及其一般解，并用该解求得一般传递矩阵，可处理任意对称与非对称（相对于悬链线最低点）浅悬链线。对于大多数工程情况，瓷瓶串可看作是刚性的，并且在乎衡状态下瓷瓶串是铅垂悬吊的，在此条件下可得出特殊传递矩阵，并可用于具有不同跨度的多跨线的分析。

A Transfer Matrix Method for the Determination of the In-Plane Natural Frequencies of a Multispan Transmission Line

A practical transmission line can in general be regarded as an elastic catenary. The differen- tial equations governing the in-plane motion of an elastic catenary are nonlinear and therefore no exact solution is possible. But in most cases of engineering practice , the transmission lines are shallow , i. e. , the ratio of sag/semispan is very small. In this case , the governing equations of the shallow e- lastic catenary can be linearized and the approximate solutions and dynamic internal forces can be ob- tained. The general transfer matrix is then derived which is generally applicable to any shallow elastic catenary no matter whether it is symmetrical with regard to its lowest point or not. The insulator string can usually be taken as rigid and is vertically hung at equilibrium , i. e. , the vertical displace- ment of the catenary at the insulator is taken as zero. With these taken into account , the general transfer matrix can be simplified and a special tranfer matrix can be worked out. The transfer matrix of every 1-span transmission line can be used as the basis of the vibration analysis of a wide variety of multispan lines