發(fā)布時(shí)間：2018-11-27 13:45

【摘要】：頻率法因其經(jīng)濟(jì)高效、簡(jiǎn)便實(shí)用的特點(diǎn)在索力測(cè)量方法中占有重要地位。近幾十年來(lái)，，國(guó)內(nèi)外學(xué)者由頻率和其他結(jié)構(gòu)參數(shù)計(jì)算索力方面擬合了十幾種公式，使頻率法有很多計(jì)算選擇；但是這些公式都是確定性分析，沒(méi)有考慮頻率和結(jié)構(gòu)參數(shù)隨機(jī)性對(duì)索力結(jié)果的影響，另外在多種公式中如何選擇最優(yōu)公式，也需要分析評(píng)價(jià)。在結(jié)構(gòu)參數(shù)未知或模糊的情況下，國(guó)內(nèi)外學(xué)者從反問(wèn)題的角度對(duì)關(guān)鍵參數(shù)分析識(shí)別，但幾乎都類(lèi)似梯度法的方式從反向識(shí)別，對(duì)于索力測(cè)試這樣一個(gè)非線(xiàn)性系統(tǒng)，這樣容易使解陷入極值區(qū)間，造成解不穩(wěn)定。針對(duì)以上不足，筆者主要做了一下幾方面的工作： （1）在滿(mǎn)足工程實(shí)際要求的前提下，以高精度為目標(biāo)，設(shè)計(jì)一套能概率性確定索力結(jié)果和計(jì)算索力測(cè)量失效概率，對(duì)現(xiàn)存頻率法索力公式進(jìn)行精度和誤差傳遞大小評(píng)價(jià)，對(duì)索力測(cè)定中未知參數(shù)進(jìn)行正向識(shí)別的方法—神經(jīng)網(wǎng)絡(luò)-蒙特卡洛算法。該算法在擬合顯式精度、計(jì)算索力標(biāo)準(zhǔn)差和失效概率方面優(yōu)于響應(yīng)面法，又比直接有限元法節(jié)省時(shí)間。 （2）運(yùn)用算法研究了多參數(shù)的隨機(jī)性對(duì)長(zhǎng)中短索索力結(jié)果的影響，頻率、索長(zhǎng)、抗彎剛度、邊界條件、線(xiàn)質(zhì)量變異系數(shù)如果都為0.1，則長(zhǎng)索索力結(jié)果變異系數(shù)大于0.3，短索索力結(jié)果變異系數(shù)大于0.5。對(duì)常見(jiàn)公式從精度和誤差傳遞大小方面進(jìn)行了評(píng)價(jià)，在兩端固結(jié)邊界條件下，任偉新、王建飛、Hiroshi Zui、邵旭東四人公式的計(jì)算結(jié)果滿(mǎn)足工程精度要求，應(yīng)優(yōu)先采用。 （3）基于神經(jīng)網(wǎng)絡(luò)和蒙特卡洛結(jié)合法正分析識(shí)別頻率法索力測(cè)定中的未知參數(shù)。利用多階頻率作為目標(biāo)值，全局網(wǎng)格搜索最優(yōu)解。索力及長(zhǎng)度識(shí)別結(jié)果穩(wěn)定并且滿(mǎn)足工程要求精度。 （4）以南盤(pán)江懸索橋索力測(cè)量為背景，將算法應(yīng)用于工程實(shí)際，將遴選出的優(yōu)秀公式計(jì)算索力，確定索力的可靠范圍和計(jì)算測(cè)量失效概率，并且對(duì)未知參數(shù)進(jìn)行識(shí)別，最重要是索力的識(shí)別。
[Abstract]:Frequency method plays an important role in cable force measurement because of its economical, efficient, simple and practical characteristics. In recent decades, scholars at home and abroad have fitted more than ten formulas for calculating cable force by frequency and other structural parameters, which makes the frequency method have many calculation options. However, these formulas are deterministic and do not consider the influence of frequency and structural parameters randomness on cable force results. In addition, how to choose the optimal formula in many formulas also needs to be analyzed and evaluated. In the case of unknown or fuzzy structural parameters, scholars at home and abroad analyze and identify the key parameters from the point of view of inverse problems, but almost all of them are similar to the gradient method from the reverse recognition, for a nonlinear system such as cable force testing. It is easy to make the solution fall into the extremum range and cause the solution to be unstable. In view of the above shortcomings, the author mainly does some work in the following aspects: (1) under the premise of meeting the practical requirements of engineering, a set of energy probability is designed to determine the cable force result and calculate the failure probability of cable force measurement. The accuracy and error transfer size of the existing Burkina Faso force formula are evaluated, and the neural network-Monte Carlo algorithm is used to identify the unknown parameters in the determination of cable force. The algorithm is superior to the response surface method in fitting the explicit precision, calculating the standard deviation of cable force and the failure probability, and saving time compared with the direct finite element method. (2) the effect of randomness of multiple parameters on the results of cable force is studied. The frequency, cable length, bending stiffness, boundary condition and coefficient of variation of line mass are all 0.1. The coefficient of variation of long cable force and short cable force is greater than 0.3 and 0.5 respectively. The common formulas are evaluated in terms of accuracy and error transfer. Under the condition of boundary consolidation at both ends, the calculation results of Ren Weixin and Wang Jianfei, Hiroshi Zui, Shaoxu Dongsiren formula meet the requirements of engineering precision and should be adopted first. (3) based on the neural network and Monte Carlo method, the unknown parameters in the determination of Burkina Faso force are analyzed. Using multi-order frequency as the target value, the global grid search for the optimal solution. The results of cable force and length identification are stable and meet the requirements of engineering accuracy. (4) based on the measurement of cable force of the suspension bridge of Nanpanjiang River, the algorithm is applied to the engineering practice, the excellent formula is selected to calculate the cable force, the reliable range of the cable force and the failure probability of the measurement are determined, and the unknown parameters are identified. The most important is the identification of cable force.
【學(xué)位授予單位】：哈爾濱工業(yè)大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2014
【分類(lèi)號(hào)】：U448.25;U441

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