基于有限元分析的输电铁塔实时应力计算系统
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摘要
提出了基于有限元分析的输电铁塔应力计算方法,并开发了输电铁塔实时应力计算系统。采用桁梁混合模型对输电铁塔进行建模,对铁塔结构进行离散化,以节点位移阵列作为未知量,与整体刚度矩阵,载荷阵列组成矩阵方程,采用置1法消除整体刚度矩阵的奇异性,运用高斯消元法求解节点位移矩阵,根据弹性力学中应力与位移的关系,给出各节点应力,最终求出铁塔受力情况。通过自主开发的输电铁塔实时应力计算系统反演了铁塔的倒塔事故。分析结果表明,该系统具有较高的计算精度,可用于输电铁塔实时应力计算。
Real-time transmission tower stress calculation is an important part of the transmission line safety evaluation,hence,a finite element analysis method is proposed to solve the problem because that the stress analysis and calculation of ANSYS can't be applied to practical safety evaluation system. A system is also developed for the calculation of realtime transmission tower stress. Hybrid truss beam model is adopted to model the power transmission tower. The tower structure is discretized,node displacement array is taken as unknown quantity,it together with the overall stiffness matrix and load array compose a matrix equation,adding 1 makes the matrix nonsingular,and Gaussian elimination method is used to solve the matrix equation. By the relationship of stress and displacement in elastic mechanics,each node stress can be obtained,and finally the tower stress distribution can be obtained. Using the developed system to simulate the Eiffel Tower accident,the results shows that the system has high accuracy,and can be used for real-time transmission tower stress calculation.
Real-time transmission tower stress calculation is an important part of the transmission line safety evaluation,hence,a finite element analysis method is proposed to solve the problem because that the stress analysis and calculation of ANSYS can't be applied to practical safety evaluation system. A system is also developed for the calculation of realtime transmission tower stress. Hybrid truss beam model is adopted to model the power transmission tower. The tower structure is discretized,node displacement array is taken as unknown quantity,it together with the overall stiffness matrix and load array compose a matrix equation,adding 1 makes the matrix nonsingular,and Gaussian elimination method is used to solve the matrix equation. By the relationship of stress and displacement in elastic mechanics,each node stress can be obtained,and finally the tower stress distribution can be obtained. Using the developed system to simulate the Eiffel Tower accident,the results shows that the system has high accuracy,and can be used for real-time transmission tower stress calculation.
引文
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[19]任学平,高耀东.弹性力学基础及有限单元法[M].武汉:华中科技大学出版社,2007.
[2]葛乐,杨志超,胡波,等.面向复杂工况的输电线路本体结构安全评价[J].电力系统自动化,2013,37(20):108-113.
[3]陈国建.南通地区输电线路风灾倒塔分析与防范对策[J].江苏电机工程,2012,31(2):18-21.
[4]赵滇生.输电塔架结构的理论分析与受力性能研究[D].杭州:浙江大学,2003.
[5]Albermani F G A,Kitipornchan S.Numerical simulation of structural behaviour of transmission towers[J].Thin-Walled Struetures,2003,41(3):167-177.
[6]甘凤林,潘兹勇.输电铁塔结构设计的发展与研究现状[J].山西建筑,2007,33(25):5-7.
[7]吴海洋,余焘.输电铁塔刚架模型和桁梁混合模型静态强度及稳定分析[J].华北电力技术,2011,12(5):6-10.
[8]秦力,张学礼.浅析500 k V输电铁塔结构体系的可靠性[J].东北电力大学学报(自然科学版),2008,28(2):9-12.
[9]陈祺,王新芳.输电铁塔ANSYS建模及有限元分析[J].山西建筑,2009,35(20):60-63.
[10]沈炜良,陈家权.架空送电线路铁塔有限元分析[J].广西电力,2003,53(23):6-10.
[11]冯云巍.输电塔架ANSYS建模及动力特性研究[J].钢结构,2008,23(1):21-25.
[12]刘意,杨暘.基于ANSYS的输电铁塔极限承载力研究[J].三峡大学学报,2013,35(4):63-65.
[13]彭家宁,汤涛.基于ANSYS输电铁塔覆冰屈曲分析[J].广西电力,2012,35(5):49-52.
[14]季善浩.输电铁塔的结构分析与管理研究[D].北京:华北电力大学,2011.
[15]施刚,石永久.钢框架梁柱端板连接的非线性有限元分析.[J].工程力学,2008,25(12):79-85.
[16]李英明,韩军.ANSYS在砌体结构非线性有限元分析中的应用研究[J].重庆建筑大学学报,2006,28(5):90-96.
[17]朱贤俊.输电线路塔—线混合体系的动力学模型分析[J].江苏电机工程,2006,25(2):48-50.
[18]龙述尧,刘腾喜.计算力学[M].长沙:湖南大学出版社,2007.
[19]任学平,高耀东.弹性力学基础及有限单元法[M].武汉:华中科技大学出版社,2007.