基于结点6自由度的输电线舞动有限元分析  

Finite element modeling of transmission line galloping based on 6-DOFs nodes

作　　者：晏致涛[1,2] 李正良[1,2] 杨振华[1,2] 

机构地区：[1]重庆大学土木工程学院,重庆400045 [2]山地城镇建设与新技术教育部重点实验室(重庆大学),重庆400045

出　　处：《振动与冲击》2011年第8期112-117,共6页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(50708118);中央高校基本科研业务费(CDJZR11200015)

摘　　要：传统的输电线3自由度舞动分析模型无法考虑扭转与平动的耦合作用及扭转运动的非线性。基于空间曲梁理论的应变-位移关系,建立了具有3个平动自由度和3个转角自由度结点的覆冰输电线舞动分析有限元模型。考虑覆冰导线所受空气动力的非线性和导线大幅运动的几何非线性,利用虚功原理建立基于更新Lagrange格式的覆冰导线非线性运动方程。采用Newmark时间积分和Newton-Raphson非线性迭代法求解有限元方程。算例分析表明,利用结点6自由度覆冰导线单元计算输电线的静动力及舞动分析是准确的。对输电线的舞动分析表明,输电线的抗弯截面模量对输电线的平动和扭转有较大的影响。The coupling between translational and torsional movements and the non-linearity cannot he considered it traditional galloping transmission line analytical model with 3-DOFs nodes. Based on the strain-displacement relations oi spatial curved beam theory, the finite element model of iced transmission line galloping was proposed, with the nodes containing three translational degrees of freedom and three rotational degrees of freedom. According to the virtual work principle, the updated Lagrange nonlinear equations of motion of iced conductor were derived considering the aerodynami~ and geometric non-lineaities. The Newmark time integration and the Newton-Raphson iteration method were used to s（,lv~ non-linear finite element equations. An example analysis show that the iced cable element with 6-DOFs nodes used in static, dynamic and galloping analysis of power lines is feasible. The results of transmission line galloping analysis show that the cross-section bending modulus of the transmission line has a certain impact on translational and torsional movements.

关 键 词：6自由度 输电线 舞动 有限元 非线性 

分 类 号：TB122[理学—工程力学]