一族雙顯式算法及其在實(shí)時(shí)耦聯(lián)動(dòng)力試驗(yàn)中的應(yīng)用
發(fā)布時(shí)間：2018-11-06 15:43
【摘要】：實(shí)時(shí)耦聯(lián)動(dòng)力試驗(yàn)（Real-time dynamic hybrid testing,簡(jiǎn)稱RTDHT）是一種新型結(jié)構(gòu)動(dòng)力試驗(yàn)方法，它將整體結(jié)構(gòu)拆分為試驗(yàn)子結(jié)構(gòu)和數(shù)值子結(jié)構(gòu)兩部分，通過實(shí)時(shí)交互子結(jié)構(gòu)之間的數(shù)據(jù)來完成整個(gè)試驗(yàn)。本文發(fā)展了一族雙顯式算法，分析了算法在RTDHT系統(tǒng)中的穩(wěn)定性，并基于新算法進(jìn)行了RTDHT試驗(yàn)的工程應(yīng)用。論文的主要內(nèi)容包括以下幾個(gè)方面： 1.基于離散控制理論中的極點(diǎn)映射法發(fā)展了一族雙顯式算法。針對(duì)阻尼非線性問題對(duì)比了新算法和一些常用算法的計(jì)算耗時(shí)，體現(xiàn)了雙顯式算法的效率優(yōu)勢(shì)。通過理論分析和數(shù)值算例研究了算法積分參數(shù)與精度和穩(wěn)定性之間的關(guān)系，表明一族算法的精度和穩(wěn)定性是矛盾的屬性，不能同時(shí)達(dá)到最佳。同時(shí)對(duì)結(jié)構(gòu)動(dòng)力計(jì)算中不同條件下積分參數(shù)的選取提供了建議。 2.基于離散傳遞函數(shù)建立了考慮數(shù)值積分算法、加載體系遲滯以及位移補(bǔ)償算法的雙自由度RTDHT系統(tǒng)的動(dòng)力分析模型，并采用根軌跡法研究了新算法在遲滯和補(bǔ)償條件下的穩(wěn)定特性。結(jié)果表明RTDHT系統(tǒng)中，遲滯和補(bǔ)償是決定算法穩(wěn)定極限的關(guān)鍵因素，算法在純數(shù)值條件下的穩(wěn)定性差異對(duì)結(jié)構(gòu)的頻率極限的影響非常小，因而在精度和計(jì)算效率方面具備優(yōu)勢(shì)的子算法更加適用于RTDHT試驗(yàn)。通過一個(gè)雙層框架的RTDHT試驗(yàn)驗(yàn)證了根軌跡分析得到的穩(wěn)定性極限，表明理論分析方法具有足夠的精度來指導(dǎo)實(shí)際試驗(yàn)中的模型設(shè)計(jì)。 3.為了測(cè)量調(diào)諧液體阻尼器（Tuned liquid damper,簡(jiǎn)稱TLD）等非剛架型結(jié)構(gòu)的反饋力，設(shè)計(jì)了一種新型反饋力測(cè)量裝置。通過引入新算法和新的測(cè)量裝置改進(jìn)了清華大學(xué)振動(dòng)臺(tái)型RTDHT系統(tǒng)。針對(duì)一個(gè)TLD控制的雙層框架結(jié)構(gòu)，分別進(jìn)行了RTDHT試驗(yàn)和常規(guī)振動(dòng)臺(tái)試驗(yàn)，兩種試驗(yàn)方法的結(jié)果吻合良好，表明新試驗(yàn)系統(tǒng)具有較高精度，能夠用來研究TLD的減震性能。 4.發(fā)揮RTDHT能夠隨意調(diào)整數(shù)值子結(jié)構(gòu)參數(shù)的優(yōu)勢(shì)，，進(jìn)行了TLD對(duì)于不同樓層實(shí)際結(jié)構(gòu)的減震性能研究，發(fā)現(xiàn)在同樣質(zhì)量比條件下，TLD更加適用于高層建筑結(jié)構(gòu)的減震消能。進(jìn)一步以高層結(jié)構(gòu)為例，通過試驗(yàn)研究了不同質(zhì)量比、不同阻尼比以及不同地震波輸入等因素對(duì)于TLD減震效果的影響。
[Abstract]:Real-time coupled dynamic test (RTDHT) is a new structural dynamic test method, which divides the whole structure into two parts: experimental substructure and numerical substructure. The whole experiment is completed by the data between the real-time interactive substructures. In this paper, a family of double explicit algorithms is developed, and the stability of the algorithm in RTDHT system is analyzed. Based on the new algorithm, the engineering application of RTDHT experiment is carried out. The main contents of the paper include the following aspects: 1. Based on the pole mapping method in discrete control theory, a family of double explicit algorithms is developed. The computational time of the new algorithm and some commonly used algorithms are compared for the damped nonlinear problem, which shows the efficiency advantage of the double explicit algorithm. Through theoretical analysis and numerical examples, the relationship between the integral parameters and the accuracy and stability of the algorithm is studied. It is shown that the accuracy and stability of a family of algorithms are contradictory attributes and can not reach the best at the same time. At the same time, suggestions are given for the selection of integral parameters under different conditions in the dynamic calculation of structures. 2. Based on discrete transfer function, the dynamic analysis model of two-degree-of-freedom RTDHT system considering numerical integration algorithm, hysteresis of loading system and displacement compensation algorithm is established. The stability of the new algorithm under the condition of hysteresis and compensation is studied by the root locus method. The results show that the hysteresis and compensation are the key factors to determine the stability limit of the RTDHT system, and the difference of the stability of the algorithm in the pure numerical condition has little effect on the frequency limit of the structure. Therefore, the subalgorithms which have advantages in accuracy and computational efficiency are more suitable for RTDHT experiments. The stability limit of the root locus analysis is verified by a two-layer frame RTDHT test. It shows that the theoretical analysis method has enough precision to guide the model design in the actual test. 3. In order to measure the feedback force of non-rigid frame structures such as tuned liquid damper (Tuned liquid damper,), a new type of feedback force measuring device is designed. The vibration table RTDHT system of Tsinghua University is improved by introducing a new algorithm and a new measuring device. For a double-layer frame structure controlled by TLD, the RTDHT test and the conventional shaking table test are carried out respectively. The results of the two test methods are in good agreement with each other, which indicates that the new test system has a high accuracy and can be used to study the vibration absorption performance of TLD. 4. Based on the advantage that RTDHT can adjust the parameters of numerical substructures at will, the vibration absorption performance of different floor structures by TLD is studied. It is found that under the same mass ratio, TLD is more suitable for the vibration absorption and energy dissipation of high-rise building structures. Taking high-rise structures as an example, the effects of different mass ratio, different damping ratio and different seismic wave input on the effectiveness of TLD are studied.
【學(xué)位授予單位】：清華大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2014
【分類號(hào)】：TU311.3
本文編號(hào)：2314713
[Abstract]:Real-time coupled dynamic test (RTDHT) is a new structural dynamic test method, which divides the whole structure into two parts: experimental substructure and numerical substructure. The whole experiment is completed by the data between the real-time interactive substructures. In this paper, a family of double explicit algorithms is developed, and the stability of the algorithm in RTDHT system is analyzed. Based on the new algorithm, the engineering application of RTDHT experiment is carried out. The main contents of the paper include the following aspects: 1. Based on the pole mapping method in discrete control theory, a family of double explicit algorithms is developed. The computational time of the new algorithm and some commonly used algorithms are compared for the damped nonlinear problem, which shows the efficiency advantage of the double explicit algorithm. Through theoretical analysis and numerical examples, the relationship between the integral parameters and the accuracy and stability of the algorithm is studied. It is shown that the accuracy and stability of a family of algorithms are contradictory attributes and can not reach the best at the same time. At the same time, suggestions are given for the selection of integral parameters under different conditions in the dynamic calculation of structures. 2. Based on discrete transfer function, the dynamic analysis model of two-degree-of-freedom RTDHT system considering numerical integration algorithm, hysteresis of loading system and displacement compensation algorithm is established. The stability of the new algorithm under the condition of hysteresis and compensation is studied by the root locus method. The results show that the hysteresis and compensation are the key factors to determine the stability limit of the RTDHT system, and the difference of the stability of the algorithm in the pure numerical condition has little effect on the frequency limit of the structure. Therefore, the subalgorithms which have advantages in accuracy and computational efficiency are more suitable for RTDHT experiments. The stability limit of the root locus analysis is verified by a two-layer frame RTDHT test. It shows that the theoretical analysis method has enough precision to guide the model design in the actual test. 3. In order to measure the feedback force of non-rigid frame structures such as tuned liquid damper (Tuned liquid damper,), a new type of feedback force measuring device is designed. The vibration table RTDHT system of Tsinghua University is improved by introducing a new algorithm and a new measuring device. For a double-layer frame structure controlled by TLD, the RTDHT test and the conventional shaking table test are carried out respectively. The results of the two test methods are in good agreement with each other, which indicates that the new test system has a high accuracy and can be used to study the vibration absorption performance of TLD. 4. Based on the advantage that RTDHT can adjust the parameters of numerical substructures at will, the vibration absorption performance of different floor structures by TLD is studied. It is found that under the same mass ratio, TLD is more suitable for the vibration absorption and energy dissipation of high-rise building structures. Taking high-rise structures as an example, the effects of different mass ratio, different damping ratio and different seismic wave input on the effectiveness of TLD are studied.
【學(xué)位授予單位】：清華大學(xué)
【學(xué)位級(jí)別】：博士
【學(xué)位授予年份】：2014
【分類號(hào)】：TU311.3
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本文編號(hào)：2314713
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