弦支結(jié)構(gòu)魯棒性的理論分析及試驗研究
發(fā)布時間：2019-03-06 09:46
【摘要】：由于意外事件、結(jié)構(gòu)本身及外荷載的不確定性等引起的干擾,可能會導(dǎo)致結(jié)構(gòu)局部損傷或由此引起整體或連續(xù)倒塌。自從1968年倫敦Ronan Point公寓因第18樓瓦斯爆炸或引起陽臺連續(xù)坍塌以及“9·11”事件以來,這種“結(jié)果與起因不相稱的破壞”開始引起各國學(xué)者的廣泛關(guān)注,即結(jié)構(gòu)魯棒性。目前,關(guān)于結(jié)構(gòu)魯棒性的定性及定量研究已不少見,但仍然缺乏普遍可以接受的魯棒性定量評價標(biāo)準(zhǔn)及設(shè)計方法。此外結(jié)構(gòu)魯棒性的研究對象多集中于桁架、框架、橋梁及網(wǎng)格結(jié)構(gòu)結(jié)構(gòu)等,關(guān)于弦支結(jié)構(gòu)魯棒性的研究較為少見。本文根據(jù)外界干擾的性質(zhì),分別從初始損傷和不確定性干擾兩方面對結(jié)構(gòu)魯棒性展開研究,并提出基于魯棒性和連續(xù)體拓?fù)鋬?yōu)化的弦支結(jié)構(gòu)魯棒性設(shè)計流程。 首先,針對結(jié)構(gòu)魯棒性評價的確定性指標(biāo)具有直觀簡單、易于理解的特點,以桿件截面損傷指數(shù)模擬材料的退化效應(yīng)；推導(dǎo)總結(jié)了描述結(jié)構(gòu)性能的指標(biāo),定義了一組結(jié)構(gòu)魯棒性量化指標(biāo),并將其運用于桁架結(jié)構(gòu)和弦支結(jié)構(gòu)的魯棒性評價,分析了各種指標(biāo)的適用性。結(jié)果表明,基于位移二范數(shù)和基于應(yīng)變能的結(jié)構(gòu)魯棒性指標(biāo)隨桿件損傷指數(shù)變化明顯,對不同部位結(jié)構(gòu)損傷較為敏感,最適用于結(jié)構(gòu)魯棒性的評價。 其次,從結(jié)構(gòu)及外荷載不確定性的角度出發(fā),基于info-gap理論建立了描述荷載和結(jié)構(gòu)不確定性的數(shù)學(xué)模型,結(jié)合性能需求建立了評價結(jié)構(gòu)在常規(guī)荷載和結(jié)構(gòu)屬性波動下的魯棒性指標(biāo)；針對魯棒函數(shù)求解的嵌套優(yōu)化問題,采用粒子群算法進(jìn)行優(yōu)化,繪制不確定區(qū)間模型下的性能曲線,評價了桁架結(jié)構(gòu)和某葵花型弦支結(jié)構(gòu)的魯棒性。結(jié)果表明,基于info-gap決策理論的結(jié)構(gòu)魯棒指標(biāo),能夠較好地反映弦支結(jié)構(gòu)不確定性與不相稱的破壞的關(guān)系,具有直觀簡單的特點。 再次,基于H∞理論,采用結(jié)構(gòu)系統(tǒng)傳遞函數(shù)的H∞范數(shù),作為弦支結(jié)構(gòu)魯棒性的定量評價指標(biāo),以單元密度為設(shè)計變量,采用SIMP模型描述材料的剛度,結(jié)構(gòu)魯棒性為優(yōu)化目標(biāo),將結(jié)構(gòu)魯棒性設(shè)計轉(zhuǎn)化成連續(xù)體拓?fù)鋬?yōu)化,并通過粒子群算法求解。以弦支雙曲球殼模型為例,通過魯棒設(shè)計得到了魯棒構(gòu)型。最后分別通過靜力和沖擊試驗,制造干擾場景,分析不同結(jié)構(gòu)設(shè)計方案的魯棒性。結(jié)果表明,H∞結(jié)構(gòu)魯棒性評價指標(biāo)可以反映干擾與后果是否相稱,通過連續(xù)體拓?fù)鋬?yōu)化進(jìn)行魯棒設(shè)計,能夠有效地提高結(jié)構(gòu)魯棒性,可以為結(jié)構(gòu)初始概念設(shè)計提供參考。
[Abstract]:The interference caused by the accident, the structure itself and the uncertainty of the external load, etc., may cause local damage to the structure or thereby cause the whole or the continuous collapse. Since the 1968 London Ronan Point apartment was caused by a gas explosion on the 18th floor or the continuous collapse of the balcony and the "9 路 11" incident, the "disproportion of the result from the cause" began to give rise to a wide range of concerns by scholars, namely, the structural robustness. At present, the qualitative and quantitative research on the structure robustness is not uncommon, but there is still a lack of a generally acceptable standard and design method for robust quantitative evaluation. In addition, the research object of the structure robustness is more and more focused on the structure of frame, frame, bridge and grid structure, and the research on the robustness of the chord structure is very rare. In this paper, based on the nature of the external interference, the structure robustness is studied from the two aspects of initial damage and uncertainty interference, and the robust design process of the chord-branch structure based on the robust and continuum topology optimization is presented. First of all, the deterministic index for structural robustness evaluation has the characteristics of simple and easy to understand, and the degradation effect of the material is simulated with the damage index of the section of the rod; the index of describing the structure performance is derived, and a set of structural robustness quantification is defined. The method is applied to the robust evaluation of the chord branch structure of the frame structure, and the application of the various indexes is analyzed. The results show that the structural robustness index based on the displacement-two-norm and the strain energy is more sensitive to the structural damage of different parts, which is most suitable for the evaluation of the structural robustness. Secondly, based on the angle of structure and external load uncertainty, a mathematical model describing the load and structural uncertainty is established based on the info-gap theory, and the robustness of the evaluation structure under the fluctuation of the conventional load and the structural property is established in combination with the performance requirement. According to the problem of nesting optimization for robust function solution, the particle swarm optimization is used to optimize, and the performance curve under the interval model is drawn. The structure of the frame and the structure of a sunflower type string are evaluated. The results show that the structure robust index based on the information-gap decision theory can better reflect the relationship between the uncertainty of the chord structure and the disproportion of the structure, and has the advantages of being intuitive and simple. In this paper, based on the H-type theory, the H-norm of the transfer function of the structural system is used as the quantitative evaluation index of the robustness of the chord-branch structure, the unit density is the design variable, and the stiffness and the structural robustness of the material are described by the SIMO model. in ord to optimize that objective, the robust design of the structure is transform into a continuum topology optimization, In this paper, a group algorithm is used to solve the problem. The hyperbolic spherical shell model of the string is taken as an example and is obtained by robust design. The robust configuration is obtained. Finally, the interference scene is manufactured by static and shock test, and different structural design parties are analyzed. The results show that the robustness evaluation index of the H-structure can reflect the proportionality of the interference and the result, and the robust design can be effectively improved by the continuous body topology optimization, and the initial concept of the structure can be set for the initial concept of the structure.
【學(xué)位授予單位】：浙江大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2013
【分類號】：TU317
本文編號：2435417
[Abstract]:The interference caused by the accident, the structure itself and the uncertainty of the external load, etc., may cause local damage to the structure or thereby cause the whole or the continuous collapse. Since the 1968 London Ronan Point apartment was caused by a gas explosion on the 18th floor or the continuous collapse of the balcony and the "9 路 11" incident, the "disproportion of the result from the cause" began to give rise to a wide range of concerns by scholars, namely, the structural robustness. At present, the qualitative and quantitative research on the structure robustness is not uncommon, but there is still a lack of a generally acceptable standard and design method for robust quantitative evaluation. In addition, the research object of the structure robustness is more and more focused on the structure of frame, frame, bridge and grid structure, and the research on the robustness of the chord structure is very rare. In this paper, based on the nature of the external interference, the structure robustness is studied from the two aspects of initial damage and uncertainty interference, and the robust design process of the chord-branch structure based on the robust and continuum topology optimization is presented. First of all, the deterministic index for structural robustness evaluation has the characteristics of simple and easy to understand, and the degradation effect of the material is simulated with the damage index of the section of the rod; the index of describing the structure performance is derived, and a set of structural robustness quantification is defined. The method is applied to the robust evaluation of the chord branch structure of the frame structure, and the application of the various indexes is analyzed. The results show that the structural robustness index based on the displacement-two-norm and the strain energy is more sensitive to the structural damage of different parts, which is most suitable for the evaluation of the structural robustness. Secondly, based on the angle of structure and external load uncertainty, a mathematical model describing the load and structural uncertainty is established based on the info-gap theory, and the robustness of the evaluation structure under the fluctuation of the conventional load and the structural property is established in combination with the performance requirement. According to the problem of nesting optimization for robust function solution, the particle swarm optimization is used to optimize, and the performance curve under the interval model is drawn. The structure of the frame and the structure of a sunflower type string are evaluated. The results show that the structure robust index based on the information-gap decision theory can better reflect the relationship between the uncertainty of the chord structure and the disproportion of the structure, and has the advantages of being intuitive and simple. In this paper, based on the H-type theory, the H-norm of the transfer function of the structural system is used as the quantitative evaluation index of the robustness of the chord-branch structure, the unit density is the design variable, and the stiffness and the structural robustness of the material are described by the SIMO model. in ord to optimize that objective, the robust design of the structure is transform into a continuum topology optimization, In this paper, a group algorithm is used to solve the problem. The hyperbolic spherical shell model of the string is taken as an example and is obtained by robust design. The robust configuration is obtained. Finally, the interference scene is manufactured by static and shock test, and different structural design parties are analyzed. The results show that the robustness evaluation index of the H-structure can reflect the proportionality of the interference and the result, and the robust design can be effectively improved by the continuous body topology optimization, and the initial concept of the structure can be set for the initial concept of the structure.
【學(xué)位授予單位】：浙江大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2013
【分類號】：TU317
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