本文選題：索 + 頻率法��； 參考：《西南交通大學》2017年碩士論文

【摘要】：隨著含索空間結(jié)構(gòu)形式的推廣應用,索結(jié)構(gòu)在土木工程行業(yè)中越來越多地出現(xiàn),也得到越來越多地重視。隨之,索結(jié)構(gòu)的索力測試以及參數(shù)識別問題需得到更好地解決,包括對索力、抗彎剛度、邊界條件等的識別。就目前而言,長索的索力識別精度已達到較高的水平,因為長索受抗彎剛度以及邊界條件的影響較小,多數(shù)情況下忽略·其影響造成的誤差并不大。但對于短粗的索,或者是索力較小的索,抗彎剛度以及邊界條件的影響非常大,若是忽略將會造成極大的誤差。而現(xiàn)階段,針對復雜邊界條件下有抗彎剛度的索,還沒有提出適用范圍合理、精度較高的索力計算公式。索結(jié)構(gòu)的參數(shù)識別問題也沒有得到很好的解決�；谝陨蠁栴},本文主要工作如下:(1)基于索在平面內(nèi)的豎向振動平衡方程,在一般邊界條件的振動模型下推導出頻率方程的通解。求解該超越方程,分情況將頻率方程的求解結(jié)果進行曲線擬合,進而提出了考慮索抗彎剛度以及索端彈性轉(zhuǎn)動約束的索力計算實用公式。該公式具有精度高、形式簡潔、方便計算、可顯式計算索的抗彎剛度等優(yōu)點,可作為工程實際運用參考。(2)結(jié)合本文提出的索力計算公式,提出在特殊邊界條件下索參數(shù)的識別方法;找出一般邊界條件下各參數(shù)對索的n-T_n曲線的影響規(guī)律,進而提出索的參數(shù)識別方法。其原則就是使索的n-T_n曲線保持水平。(3)結(jié)合振型節(jié)點法的原理,并用有限元模型驗證了振型節(jié)點法的精度,在本文推出的索力計算公式的基礎上,討論了關(guān)于索的參數(shù)識別問題。在具備某兩階及以上的實測頻率時,對索力和抗彎剛度的識別問題能得到很好的解決。但對于邊界條件的識別問題,目前還只能做到避開其影響,而不能識別出來。(4)由于解析方法仍有不可避免的誤差存在,便可利用智能搜索的思想提出更為精確的索力計算方法。本文先提出一種矩陣分析方法,可以在索的索力、抗彎剛度、邊界條件等已知的情況下得到精確的自振頻率。再結(jié)合粒子群優(yōu)化算法以實現(xiàn)索結(jié)構(gòu)的參數(shù)識別。該方法精度更高、速度更快、適用范圍更廣。
[Abstract]:With the popularization and application of cable-bearing spatial structure, cable structure is more and more popular in civil engineering industry. Subsequently, the problems of cable force test and parameter identification need to be solved better, including the identification of cable force, bending stiffness, boundary conditions and so on. At present, the accuracy of cable force identification of long cables has reached a higher level, because long cables are less affected by flexural stiffness and boundary conditions, and the errors caused by neglecting their effects are not large in most cases. But for the short thick cable or the cable with less cable force, the bending stiffness and boundary conditions are greatly affected, and great errors will be caused if the cable is ignored. At present, for the cable with flexural stiffness under complex boundary condition, the calculation formula of cable force with reasonable application range and high precision has not been put forward. The problem of parameter identification of cable structure is not well solved. Based on the vertical vibration equilibrium equation of the cable in the plane, the general solution of the frequency equation is derived under the vibration model of general boundary conditions. By solving the transcendental equation, the results of the frequency equation are fitted by curve fitting, and a practical formula for calculating the cable force considering the bending stiffness of the cable and the elastic rotation constraint at the end of the cable is put forward. The formula has the advantages of high precision, simple form, convenient calculation, explicit calculation of the bending stiffness of cables, and can be used as a reference for engineering practice. The identification method of cable parameters under special boundary conditions is proposed, and the influence of each parameter on n-T _ n curve of cable under general boundary condition is found out, and the parameter identification method of cable is put forward. The principle is to keep the n-Tn curve of the cable horizontal. / 3) combined with the principle of the modal nodal method, the accuracy of the modal nodal method is verified by using the finite element model. On the basis of the cable force calculation formula derived in this paper, the problem of parameter identification of the cable is discussed. The identification problem of cable force and bending stiffness can be solved well when the measured frequency of two or more order is available. However, the problem of boundary condition recognition can only avoid its influence at present, but can not be recognized. (4) because the analytic method still has the inevitable error, we can use the idea of intelligent search to put forward a more accurate calculation method of cable force. In this paper, a matrix analysis method is proposed, which can obtain the exact natural frequency under the condition of cable force, bending stiffness, boundary condition and so on. Then the particle swarm optimization algorithm is used to realize the parameter identification of cable structure. This method has higher precision, faster speed and wider range of application.
【學位授予單位】：西南交通大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TU311.3

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本文編號：1988172