地震工程与工程振动
地震工程與工程振動
지진공정여공정진동
EARTHQUAKE ENGINEERING AND ENGINEERING VIBRATION
2010年
2期
86-91
,共6页
桥梁工程%索力%边界条件%频率方程
橋樑工程%索力%邊界條件%頻率方程
교량공정%색력%변계조건%빈솔방정
bridge engineering%cable tension%boundary condition%frequency equation
建立了一个非齐次边界拉索力学模型,基于拉索线性振动理论,推导了考虑拉索抗弯刚度及边界条件的拉索频率方程;根据双曲函数的数理特性对频率方程进行了合理简化,得到了实用的频率简化方程,提出了逆过程求解索力的方法和步骤,并探讨了不同支承刚度对索力的影响.设计了室内拉索试验模型并进行了27种工况索力试验,比较了不同工况下的计算索力与实际索力,验证了本文提出的频率简化方程和逆过程求解方法的实用可靠性.
建立瞭一箇非齊次邊界拉索力學模型,基于拉索線性振動理論,推導瞭攷慮拉索抗彎剛度及邊界條件的拉索頻率方程;根據雙麯函數的數理特性對頻率方程進行瞭閤理簡化,得到瞭實用的頻率簡化方程,提齣瞭逆過程求解索力的方法和步驟,併探討瞭不同支承剛度對索力的影響.設計瞭室內拉索試驗模型併進行瞭27種工況索力試驗,比較瞭不同工況下的計算索力與實際索力,驗證瞭本文提齣的頻率簡化方程和逆過程求解方法的實用可靠性.
건립료일개비제차변계랍색역학모형,기우랍색선성진동이론,추도료고필랍색항만강도급변계조건적랍색빈솔방정;근거쌍곡함수적수리특성대빈솔방정진행료합리간화,득도료실용적빈솔간화방정,제출료역과정구해색력적방법화보취,병탐토료불동지승강도대색력적영향.설계료실내랍색시험모형병진행료27충공황색력시험,비교료불동공황하적계산색력여실제색력,험증료본문제출적빈솔간화방정화역과정구해방법적실용가고성.
A cable model on inhomogeneity boundary was built. And according to this universal model, the frequency equation in consideration of cable stiffness and boundary conditions was formulated on the basis of the linear vibration theory of stayed cable. The frequency equation respectively under boundary conditions was simplified according to the mathematical characteristics of hyperbolic functions. The practical solving method and the steps of the cable tension were proposed by a converse process, and the influence of supporting stiffness on cable tension was discussed. An experimental cable model was designed, and a series of experiments were conducted to compare the calculated cable tension with the practical cable tension in 27 different work conditions, which verified that the simplified frequency equation and the converse process solution method presented in this paper are practical and dependable.