土—結(jié)構(gòu)相互作用的混合約束模態(tài)綜合法的應(yīng)用
發(fā)布時間：2018-11-06 10:00
【摘要】：隨著城鎮(zhèn)化的快速發(fā)展,城市人口的不斷增多,城市用地緊張的情況越來越嚴峻,高層建筑以其能節(jié)約城市用地、有效利用空間的特點越來越被人們所接受。加之我國處在地震多發(fā)地帶,2008年汶川地震以來,結(jié)構(gòu)的抗震問題越來越受到工程界的高度關(guān)注。因此,在高層建筑的抗震分析和設(shè)計過程中十分有必要考慮土-結(jié)構(gòu)的相互作用問題。在現(xiàn)有的計算方法中,動態(tài)子結(jié)構(gòu)法能夠降低體系自由度、提高計算效率、節(jié)省計算時間,被廣泛應(yīng)用到土-結(jié)構(gòu)相互作用的分析中。但是子結(jié)構(gòu)只能用于線性結(jié)構(gòu),針對此問題,本文在課題組先前提出的線性-非線性混合的約束模態(tài)綜合法的基礎(chǔ)上,將線性-非線性混合的約束模態(tài)綜合法的基本理論應(yīng)用于ANSYS大型通用軟件。主要的內(nèi)容和成果有:1.在約束模態(tài)綜合法的理論基礎(chǔ)上介紹了線性-非線性混合的約束模態(tài)綜合法,以高層框架結(jié)構(gòu)為例,將線性-非線性混合的約束模態(tài)綜合法的理論應(yīng)用于ANSYS分析軟件中,驗證了該理論在ANSYS分析軟件中適用性,為線性-非線性混合的約束模態(tài)綜合法的應(yīng)用提供實踐依據(jù)。2.提出了對基于勢能判據(jù)的截斷準則在ANSYS軟件中的實施方法,自編了截斷準則程序,運用ANSYS大型通用軟件提取每個子結(jié)構(gòu)的剛度、質(zhì)量、固定界面主模態(tài)信息以及邊界節(jié)點號、內(nèi)部節(jié)點號等,將其導(dǎo)入Matlab中,運用自編程序進行處理,為子結(jié)構(gòu)分析時選取截斷主模態(tài)數(shù)提供實踐依據(jù)。3.對土體采用粘彈性邊界的子結(jié)構(gòu)方法進行了理論推導(dǎo),以框架結(jié)構(gòu)為例,運用線性-非線性混合的約束模態(tài)綜合法對采用粘彈性邊界的土-結(jié)構(gòu)體系進行地震分析。討論了粘彈性人工邊界的設(shè)置對子結(jié)構(gòu)的分析的影響。分析結(jié)果表明,由于粘彈性人工邊界中土體邊界的自由度不能縮減,故其總自由度數(shù)并不一定比采用自由邊界的自由度數(shù)小很多。所以在子結(jié)構(gòu)分析中,土體的邊界形式對自由度縮減、計算時間影響不大。4.通過運用線性-非線性混合的約束模態(tài)綜合法對不考慮土體材料非線性的結(jié)構(gòu)做地震分析,討論了不考慮土體材料線性對結(jié)構(gòu)地震反應(yīng)的誤差。結(jié)果表明,不考慮土體材料線性的結(jié)構(gòu)在土-結(jié)構(gòu)相互作用震分析時會夸大結(jié)構(gòu)的位移與內(nèi)力,因此土-結(jié)構(gòu)相互作用的分析需充分考慮土體材料非線性。5.將基礎(chǔ)與地基的交界面上設(shè)置接觸對的做法引入到混合約束模態(tài)綜合法中,運用線性-非線性混合約束模態(tài)綜合法對高層框架進行考慮基礎(chǔ)與地基摩擦作用下的地震分析,并分析了摩擦對相互作用計算結(jié)果帶來的影響。結(jié)果表明摩擦使上部結(jié)構(gòu)的位移加大,并增加土體的塑性變形。
[Abstract]:With the rapid development of urbanization and the increasing of urban population, the tense situation of urban land use is becoming more and more serious. Because of its characteristics of saving urban land and making effective use of space, high-rise buildings are more and more accepted by people. In addition, our country is in the earthquake prone area, since the Wenchuan earthquake in 2008, the seismic problem of the structure has been paid more and more attention by the engineering circles. Therefore, it is necessary to consider the soil-structure interaction in the seismic analysis and design of high-rise buildings. Dynamic substructure method is widely used in the analysis of soil-structure interaction, which can reduce the degree of freedom of the system, improve the computational efficiency and save computing time. However, substructures can only be used in linear structures. In view of this problem, this paper is based on the linear-nonlinear hybrid constrained modal synthesis method previously proposed by the research group. The basic theory of linear-nonlinear hybrid constrained modal synthesis method is applied to ANSYS software. The main contents and results are as follows: 1. Based on the theory of constrained modal synthesis method, the constrained modal synthesis method of linear and nonlinear mixing is introduced. Taking high-rise frame structure as an example, the theory of linear and nonlinear hybrid constrained modal synthesis method is applied to ANSYS analysis software. The applicability of the theory in ANSYS analysis software is verified, which provides a practical basis for the application of the linear-nonlinear hybrid constrained modal synthesis method. 2. In this paper, the implementation method of truncation criterion based on potential energy criterion in ANSYS software is put forward, and the program of truncation criterion is compiled. The stiffness, mass, main mode information of fixed interface and boundary node number are extracted by ANSYS software. The internal node number is imported into Matlab and processed by self-programming, which provides a practical basis for selecting the truncated main modal number in substructure analysis. The substructure method of soil using viscoelastic boundary is theoretically deduced. Taking frame structure as an example, the seismic analysis of soil-structure system with viscoelastic boundary is carried out by using linear and nonlinear hybrid constrained modal synthesis method. The influence of the artificial boundary of viscoelasticity on the analysis of substructures is discussed. The results show that the total number of degrees of freedom is not necessarily much smaller than that of free boundary because the degree of freedom of soil boundary can not be reduced in viscoelastic artificial boundary. Therefore, in the substructure analysis, the boundary form of soil has little effect on the degree of freedom reduction and calculation time. In this paper, the linear and nonlinear constrained modal synthesis method is applied to the seismic analysis of structures without considering the nonlinearity of soil material, and the error of the linear response of soil material to the structure is discussed. The results show that the displacement and internal force of the structure will be exaggerated when the soil material linear interaction is not considered in the earthquake analysis of soil-structure interaction, so the soil material nonlinearity should be fully considered in the soil-structure interaction analysis. The method of setting contact pairs at the interface between foundation and foundation is introduced into the hybrid constrained modal synthesis method. The linear nonlinear hybrid constrained modal synthesis method is applied to the seismic analysis of high-rise frame considering the friction between foundation and foundation. The effect of friction on the calculation results is analyzed. The results show that friction increases the displacement of the superstructure and increases the plastic deformation of the soil.
【學(xué)位授予單位】：天津大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2014
【分類號】：TU435
本文編號：2313958
[Abstract]:With the rapid development of urbanization and the increasing of urban population, the tense situation of urban land use is becoming more and more serious. Because of its characteristics of saving urban land and making effective use of space, high-rise buildings are more and more accepted by people. In addition, our country is in the earthquake prone area, since the Wenchuan earthquake in 2008, the seismic problem of the structure has been paid more and more attention by the engineering circles. Therefore, it is necessary to consider the soil-structure interaction in the seismic analysis and design of high-rise buildings. Dynamic substructure method is widely used in the analysis of soil-structure interaction, which can reduce the degree of freedom of the system, improve the computational efficiency and save computing time. However, substructures can only be used in linear structures. In view of this problem, this paper is based on the linear-nonlinear hybrid constrained modal synthesis method previously proposed by the research group. The basic theory of linear-nonlinear hybrid constrained modal synthesis method is applied to ANSYS software. The main contents and results are as follows: 1. Based on the theory of constrained modal synthesis method, the constrained modal synthesis method of linear and nonlinear mixing is introduced. Taking high-rise frame structure as an example, the theory of linear and nonlinear hybrid constrained modal synthesis method is applied to ANSYS analysis software. The applicability of the theory in ANSYS analysis software is verified, which provides a practical basis for the application of the linear-nonlinear hybrid constrained modal synthesis method. 2. In this paper, the implementation method of truncation criterion based on potential energy criterion in ANSYS software is put forward, and the program of truncation criterion is compiled. The stiffness, mass, main mode information of fixed interface and boundary node number are extracted by ANSYS software. The internal node number is imported into Matlab and processed by self-programming, which provides a practical basis for selecting the truncated main modal number in substructure analysis. The substructure method of soil using viscoelastic boundary is theoretically deduced. Taking frame structure as an example, the seismic analysis of soil-structure system with viscoelastic boundary is carried out by using linear and nonlinear hybrid constrained modal synthesis method. The influence of the artificial boundary of viscoelasticity on the analysis of substructures is discussed. The results show that the total number of degrees of freedom is not necessarily much smaller than that of free boundary because the degree of freedom of soil boundary can not be reduced in viscoelastic artificial boundary. Therefore, in the substructure analysis, the boundary form of soil has little effect on the degree of freedom reduction and calculation time. In this paper, the linear and nonlinear constrained modal synthesis method is applied to the seismic analysis of structures without considering the nonlinearity of soil material, and the error of the linear response of soil material to the structure is discussed. The results show that the displacement and internal force of the structure will be exaggerated when the soil material linear interaction is not considered in the earthquake analysis of soil-structure interaction, so the soil material nonlinearity should be fully considered in the soil-structure interaction analysis. The method of setting contact pairs at the interface between foundation and foundation is introduced into the hybrid constrained modal synthesis method. The linear nonlinear hybrid constrained modal synthesis method is applied to the seismic analysis of high-rise frame considering the friction between foundation and foundation. The effect of friction on the calculation results is analyzed. The results show that friction increases the displacement of the superstructure and increases the plastic deformation of the soil.
【學(xué)位授予單位】：天津大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2014
【分類號】：TU435
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