大跨越输电线路微风振动分析优秀毕业论文
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重庆大学 硕士学位论文 大跨越输电线路微风振动分析 姓名：杨振华 申请学位级别：硕士 专业：结构工程 指导教师：晏致涛
2010-05
中文摘要
摘要
随着我国特高压输电线路的大规模建设，输电线的直径、单位长度重量都有 所增大，悬挂点高度也有所增加，使得输电线路更容易产生微风振动。而特高压 输电工程作为影响力十分大的生命线工程，若遭到破坏将导致巨大的经济损失和 其他次生灾害。本文对输电线的微风振动进行了初步的探讨与研究，主要包括： 能量平衡法的改进、利用动力学求解基于解析模型微风振动、基于三节点索单元 模型微风振动分析和考虑抗弯刚度输电线微风振动模型分析，具体如下：
I
重庆大学硕士学位论文
输电线微风振动稳态振幅在考虑抗弯刚度的情况下比未考虑抗弯刚度时计算振幅 偏大，且在低风速下误差较小，高风速下误差可达39.49%，不可忽略。
关键词：输电线；微风振动；Scanlan非线性模型；有限元法；自阻尼
II
英文摘要
Abstract
With the large-scale construction of high-voltage transmission lines in China, the wind vibration is prone to occur due to the increasing of the line diameter, the gravity per length and the suspended height. Its destruction will cause tremendous economic loss and other secondary disasters since high-voltage transmission project is an extremely important lifeline for the society. This paper is a preliminary research of the transmission line VIV, and the specific contents are as follows: the improvement of energy balance method, the solution of VIV on the basis of analytical model through utilizing Dynamics, based on three-node cable element model and based on transmission line VIV model by taking the consideration of bending stiffness analysis, the details are as follows:
Firstly, the defects of calculating VIV is analyzed in the paper by the traditional energy balance method and the discussion is extended from wind input power, power transmission line from the damping, environmental conditions, wind speed and wind direction etc. The improvement of the wind power input lies in the introduction of uniform wind turbulence reduction factor, and the reduction of wind input power, so that it can consider the impact under different site conditions; the analysis is based on three self-damping models of transmission lines, which makes transmission line self-damping can consider the influence of the materials, span, average operation tension, the suspended height of transmission line.
The solution of VIV is on the basis of analytical model through utilizing Dynamics. To improve the efficiency, this paper utilizes the D'Alembert principle to establish a balanced transmission line equation of motion, and uses separation of variables to build transmission lines for the variable nonlinear vibration function Campaign balance equation, without considering the inherent vortex-induced and structural coupling between the modes. The equation is solved by the software MATHEMATIC. Analyses indicate that the low-frequency components of the transmission lines VIV amplitude is larger than high frequency components amplitudes, and the ite element model is smaller than that of energy balance method.
建立了空间三节点索单元模型分析输电线微风振动。应用Scanlan提出的经验 非线性模型表达涡激力，对涡激力参数进行分析，利用单自由度体系输电线自阻 尼功率等效为模态自阻尼系数，引入有限元方法和条带假设形成涡激振动运动方 程。利用振型分解和有限差分法对运动方程进行求解。分析表明，随风速增加， 三节点索单元模型计算微风振动共振区域的稳态响应比能量法求解结果略小，随 风速增加，稳态响应差距逐渐增大，风速为2m/s时，索单元模型稳态振幅减少 12.65%，当风速增大到5m/s时，索单元模型稳态振幅减少33.76%。
III
重庆大学硕士学位论文
equivalent to a power transmission line from the damping mode from the damping coefficient, the finite element method and the motion equation of the formation of assumed VIV with bands are introduced. The solution of the equation is based on modal decomposition and finite differential method. Analyses show that with the increase of wind speed, the steady-state response of the VIV resonance region by three-node cable element model is a little smaller than that by the energy method. As the wind speeds up, the steady-state response of the gap increases. When the wind speed is 2m/s, the gap is 12.65%, when the wind speed increases to 5m/s, the gap becomes 33.76%.
A three-node cable element model is established, The analysis of vortex strength parameters is carried out through the application of nonlinear model Scanlan expression of the proposed empirical vortex strength, Single degree of freedom system being
建立了考虑抗弯刚度输电线微风振动模型分析抗弯刚度对微风振动的影响。 为考虑抗弯刚度对输电线路微风振动的影响，根据曲梁理论通过多项式插值函数 建立曲梁单元随动坐标系下的位移向量，通过虚功原理得到各单元质量、刚度矩 阵，通过转换矩阵将随动坐标系下的质量、刚度矩阵转换为全局坐标系下的质量、 刚度矩阵，利用单自由度体系输电线自阻尼功率等效为模态自阻尼系数，进而得 到微风振动动力学方程。利用振型分解和Newmark-β法求解运动方程。分析表明，
利用动力学求解基于解析模型微风振动。为提高计算速度，未考虑涡激力及 结构固有振型之间的耦合作用，利用D'Alembert原理建立输电线运动平衡方程，并 运用分离变量法建立输电线路以振动函数为变量的非线性运动平衡方程，利用有 限元软件MATHEMATIC对方程求解。分析表明，低频分量的输电线微风振动振幅 较高频分量振幅大，利用动力学求解基于解析模型微风振动振幅较能量平衡法偏 小。
Transmission line VIV model in the consideration of the influence of bending stiffness analysis is established. To consider the influence of flexural rigidity on the transmission line wind vibration, the displacement vector of curved beam element with the fixed coordinate system is established through polynomial interpolation function on the basis of curved beam theory; all units of mass and stiffness matrix are obtained through the principle of virtual work, With the mass, stiffness matrix in the moving coordinate system being converted into the global coordinate system mass, stiffness matrix, the VIV kinetic equation is worked out by using a single degree of freedom system power transmission line from the equivalent modal damping from the damping coefficient. The motional equation is solved though applying Modal decomposition and NEWMARK method. Analyses show that the steady-state amplitude of transmission line VIV model in the consideration of bending stiffness is larger than that in the non-consideration of bending stiffness, and the error is smaller at low wind speed, but at high wind speed, the error is up to 39.49%, which can not be ignored.
首先分析了传统能量平衡法计算微风振动不足之处，从风输入功率、输电线 自阻尼功率、环境条件、风速和风向等方面进行了探讨。对风能输入功率的改进 主要是引入风能紊流不均匀折减系数，对风能输入功率进行折减，使其可以考虑 不同场地条件的影响；采用3种输电线自阻尼功率模型分析，使输电线自阻尼能同 时考虑输电线材料、档距、平均运行张力、悬挂点高度的影响。
2010-05
中文摘要
摘要
随着我国特高压输电线路的大规模建设，输电线的直径、单位长度重量都有 所增大，悬挂点高度也有所增加，使得输电线路更容易产生微风振动。而特高压 输电工程作为影响力十分大的生命线工程，若遭到破坏将导致巨大的经济损失和 其他次生灾害。本文对输电线的微风振动进行了初步的探讨与研究，主要包括： 能量平衡法的改进、利用动力学求解基于解析模型微风振动、基于三节点索单元 模型微风振动分析和考虑抗弯刚度输电线微风振动模型分析，具体如下：
I
重庆大学硕士学位论文
输电线微风振动稳态振幅在考虑抗弯刚度的情况下比未考虑抗弯刚度时计算振幅 偏大，且在低风速下误差较小，高风速下误差可达39.49%，不可忽略。
关键词：输电线；微风振动；Scanlan非线性模型；有限元法；自阻尼
II
英文摘要
Abstract
With the large-scale construction of high-voltage transmission lines in China, the wind vibration is prone to occur due to the increasing of the line diameter, the gravity per length and the suspended height. Its destruction will cause tremendous economic loss and other secondary disasters since high-voltage transmission project is an extremely important lifeline for the society. This paper is a preliminary research of the transmission line VIV, and the specific contents are as follows: the improvement of energy balance method, the solution of VIV on the basis of analytical model through utilizing Dynamics, based on three-node cable element model and based on transmission line VIV model by taking the consideration of bending stiffness analysis, the details are as follows:
Firstly, the defects of calculating VIV is analyzed in the paper by the traditional energy balance method and the discussion is extended from wind input power, power transmission line from the damping, environmental conditions, wind speed and wind direction etc. The improvement of the wind power input lies in the introduction of uniform wind turbulence reduction factor, and the reduction of wind input power, so that it can consider the impact under different site conditions; the analysis is based on three self-damping models of transmission lines, which makes transmission line self-damping can consider the influence of the materials, span, average operation tension, the suspended height of transmission line.
The solution of VIV is on the basis of analytical model through utilizing Dynamics. To improve the efficiency, this paper utilizes the D'Alembert principle to establish a balanced transmission line equation of motion, and uses separation of variables to build transmission lines for the variable nonlinear vibration function Campaign balance equation, without considering the inherent vortex-induced and structural coupling between the modes. The equation is solved by the software MATHEMATIC. Analyses indicate that the low-frequency components of the transmission lines VIV amplitude is larger than high frequency components amplitudes, and the ite element model is smaller than that of energy balance method.
建立了空间三节点索单元模型分析输电线微风振动。应用Scanlan提出的经验 非线性模型表达涡激力，对涡激力参数进行分析，利用单自由度体系输电线自阻 尼功率等效为模态自阻尼系数，引入有限元方法和条带假设形成涡激振动运动方 程。利用振型分解和有限差分法对运动方程进行求解。分析表明，随风速增加， 三节点索单元模型计算微风振动共振区域的稳态响应比能量法求解结果略小，随 风速增加，稳态响应差距逐渐增大，风速为2m/s时，索单元模型稳态振幅减少 12.65%，当风速增大到5m/s时，索单元模型稳态振幅减少33.76%。
III
重庆大学硕士学位论文
equivalent to a power transmission line from the damping mode from the damping coefficient, the finite element method and the motion equation of the formation of assumed VIV with bands are introduced. The solution of the equation is based on modal decomposition and finite differential method. Analyses show that with the increase of wind speed, the steady-state response of the VIV resonance region by three-node cable element model is a little smaller than that by the energy method. As the wind speeds up, the steady-state response of the gap increases. When the wind speed is 2m/s, the gap is 12.65%, when the wind speed increases to 5m/s, the gap becomes 33.76%.
A three-node cable element model is established, The analysis of vortex strength parameters is carried out through the application of nonlinear model Scanlan expression of the proposed empirical vortex strength, Single degree of freedom system being
建立了考虑抗弯刚度输电线微风振动模型分析抗弯刚度对微风振动的影响。 为考虑抗弯刚度对输电线路微风振动的影响，根据曲梁理论通过多项式插值函数 建立曲梁单元随动坐标系下的位移向量，通过虚功原理得到各单元质量、刚度矩 阵，通过转换矩阵将随动坐标系下的质量、刚度矩阵转换为全局坐标系下的质量、 刚度矩阵，利用单自由度体系输电线自阻尼功率等效为模态自阻尼系数，进而得 到微风振动动力学方程。利用振型分解和Newmark-β法求解运动方程。分析表明，
利用动力学求解基于解析模型微风振动。为提高计算速度，未考虑涡激力及 结构固有振型之间的耦合作用，利用D'Alembert原理建立输电线运动平衡方程，并 运用分离变量法建立输电线路以振动函数为变量的非线性运动平衡方程，利用有 限元软件MATHEMATIC对方程求解。分析表明，低频分量的输电线微风振动振幅 较高频分量振幅大，利用动力学求解基于解析模型微风振动振幅较能量平衡法偏 小。
Transmission line VIV model in the consideration of the influence of bending stiffness analysis is established. To consider the influence of flexural rigidity on the transmission line wind vibration, the displacement vector of curved beam element with the fixed coordinate system is established through polynomial interpolation function on the basis of curved beam theory; all units of mass and stiffness matrix are obtained through the principle of virtual work, With the mass, stiffness matrix in the moving coordinate system being converted into the global coordinate system mass, stiffness matrix, the VIV kinetic equation is worked out by using a single degree of freedom system power transmission line from the equivalent modal damping from the damping coefficient. The motional equation is solved though applying Modal decomposition and NEWMARK method. Analyses show that the steady-state amplitude of transmission line VIV model in the consideration of bending stiffness is larger than that in the non-consideration of bending stiffness, and the error is smaller at low wind speed, but at high wind speed, the error is up to 39.49%, which can not be ignored.
首先分析了传统能量平衡法计算微风振动不足之处，从风输入功率、输电线 自阻尼功率、环境条件、风速和风向等方面进行了探讨。对风能输入功率的改进 主要是引入风能紊流不均匀折减系数，对风能输入功率进行折减，使其可以考虑 不同场地条件的影响；采用3种输电线自阻尼功率模型分析，使输电线自阻尼能同 时考虑输电线材料、档距、平均运行张力、悬挂点高度的影响。