振动工程学报2025,Vol.38Issue(1) :135-143.DOI:10.16385/j.cnki.issn.1004-4523.2025.01.015

主动变位索网结构体系索力识别方法及FAST工程应用

Cable force identification method of active shape-changing cable-net system and its application in FAST engineering

付兴 孙思源 李宏男 李庆伟 李辉 任亮
振动工程学报2025,Vol.38Issue(1) :135-143.DOI:10.16385/j.cnki.issn.1004-4523.2025.01.015

主动变位索网结构体系索力识别方法及FAST工程应用

Cable force identification method of active shape-changing cable-net system and its application in FAST engineering

付兴 1孙思源 1李宏男 1李庆伟 2李辉 2任亮1
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作者信息

  • 1. 大连理工大学建设工程学院,辽宁 大连 116024
  • 2. 中国科学院国家天文台,北京 100101;中国科学院FAST重点实验室,北京 100101
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摘要

为准确识别FAST索网结构体系的拉索索力,本文提出了一种可变弹性边界支承的拉索索力识别方法.建立了拉索等效单自由度模型,推导了理想铰接与弹性边界支承下拉索频率间的数学表达式,通过拉索中点、两端点的第一阶振型值对第一阶频率进行修正,进而提出了基于弦振动理论的主动变位索网结构体系索力识别方法;对单根拉索开展数值仿真,验证了所提方法的准确性,并开展了参数分析;通过数值仿真及现场实测对FAST索网结构进行索力识别,证明了方法的可行性和工程适用性.结果表明:数值仿真的索力识别相对误差在1%以内,现场实测的索力识别相对误差小于5%.该方法考虑了拉索的复杂边界条件,可避免求解未知边界约束刚度,拓展了传统弦振动理论的工程适用性.

Abstract

The cable-net structural system of FAST is a flexible tension cable net,consisting of a main cable net,several hydraulic actuators and controllers,which is the world's largest span,the highest precision,and the first active shape-changing cable-net sys-tem.Its characteristic is that the cable net form can be adjusted according to requirements,but it also results in the cable boundary conditions constantly changing with the cable net form,which brings huge challenges to cable force identification.In order to accu-rately identify cable forces of the active shape-changing cable-net system,a method for identifying cable forces of variable elastic boundary supports is proposed.An equivalent single-degree-of-freedom model of the cable is established,and the mathematical ex-pressions of the cable frequencies between ideal hinge and elastic boundary support are derived.The first-order frequency is then corrected based on the first-order mode values at the mid-point and both ends of the cable.The cable force identification method of the active shape-changing cable-net system which is based on the string vibration theory is proposed.Numerical simulations are car-ried out to verify the accuracy of the proposed method,and parametric analyses are also conducted.The method is proved to be practicable and applicable through numerical simulations and field measurements to identify the cable force of the FAST cable net.The results show that the relative errors of cable force identification are within 1%in the numerical simulation and less than 5%in the field measurement.The method takes into account the complex boundary conditions of cables,avoids solving for unknown boundary constraint stiffnesses,and extends the engineering applicability of the traditional string vibration theory.

关键词

主动变位索网结构体系/可变弹性边界支承/等效单自由度体系/索力识别/频率修正

Key words

active shape-changing cable-net system/variable elastic boundary support/equivalent single-degree-of-freedom system/cable force identification/frequency modification

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出版年

2025
振动工程学报
中国振动工程学会

振动工程学报

CSCD北大核心
影响因子:0.754
ISSN:1004-4523
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