耐张型悬索支撑输电结构风振非线性有限元分析

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (2) : 71-78.

论文

李正良1,2，王邦杰1，王涛3,4

作者信息 +

Nonlinear finite element analysis on the wind-induced vibration of a tension suspension-braced transmission structure

LI Zhengliang1,2，WANG Bangjie1，WANG Tao3,4

Author information +

文章历史 +

摘要

耐张型悬索支撑输电结构是一类适用于山地地形的新型输电结构，其主要受风荷载控制。为此，该文发展了该输电结构风振非线性有限元分析模型并开展了结构风振响应分析。首先，考虑结构的几何非线性，通过单元应变能与位移的关系推导了支撑悬索和输电线的三维杆单元切线刚度矩阵；其次，给出了支撑悬索和输电线的单元质量矩阵、阻尼矩阵以及由风荷载等效而得的单元节点荷载向量；再次，基于非线性有限元理论，建立了耐张型悬索支撑输电结构风振非线性动力方程，并采用了结合Newton-Raphson迭代法的Newmark-β法求解非线性动力方程；最后，通过所建立的动力学分析模型对两跨耐张型悬索支撑输电结构进行了风致非线性振动分析。算例分析结果表明：1）提出的模型具有较好的计算精度和较高的计算效率；2）悬索支撑导线部分的低阶固有频率比悬索支撑地线部分的低阶固有频率更低；3）该输电结构的输电线位移响应受风荷载影响较大；4）输电线侧向位移和支撑悬索张力受风速和风向角影响均较显著。

Abstract

The tension suspension-braced transmission structure is a new type of transmission structure suitable for mountainous terrain, which is sensitive to wind load. In this regard, a nonlinear finite element analysis model of wind-induced vibration is proposed for the transmission structure, and the wind-induced vibration response of the structure is analyzed. Firstly, the tangent stiffness matrix of the three-dimensional rod element for the bracing suspension and transmission line, considering the geometric nonlinearity of structures, is derived through the relationship between the element strain energy and its displacement. Subsequently, the element mass matrix and damping matrix of the bracing suspension and transmission line, as well as the element nodal load vector obtained from wind load equivalence are given. Then, based on the nonlinear finite element theory, the nonlinear dynamic equation of wind-induced vibration is established for the tension suspension-braced transmission structure and solved by Newmark-β method combined with Newton-Raphson iterative method. Finally, the two-span tension suspension-braced transmission structure is selected as an example, and the wind-induced nonlinear vibration is analyzed through the proposed model. The results show that: 1) the proposed model has high computational accuracy and efficiency. 2) The low order natural frequency of the suspension-braced conductor part is lower than that of the suspension-braced ground line part. 3) Transmission line displacement response of the structure is greatly affected by wind load. 4) Wind speed and wind direction angle have significant effects on the lateral displacement of transmission line and the suspension tension.

导出引用

李正良1,2，王邦杰1，王涛3,4. 耐张型悬索支撑输电结构风振非线性有限元分析[J]. 振动与冲击, 2024, 43(2): 71-78

LI Zhengliang1,2，WANG Bangjie1，WANG Tao3,4. Nonlinear finite element analysis on the wind-induced vibration of a tension suspension-braced transmission structure[J]. Journal of Vibration and Shock, 2024, 43(2): 71-78

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