結(jié)構(gòu)拓?fù)鋬?yōu)化自適應(yīng)成長(zhǎng)設(shè)計(jì)方法研究
發(fā)布時(shí)間：2018-08-02 16:38
【摘要】：隨著科學(xué)技術(shù)的發(fā)展，結(jié)構(gòu)的性能要求越來(lái)越高。研究并建立科學(xué)高效的設(shè)計(jì)方法并將其應(yīng)用于指導(dǎo)結(jié)構(gòu)設(shè)計(jì)是設(shè)計(jì)人員的共同目標(biāo)。與傳統(tǒng)的、依靠經(jīng)驗(yàn)的結(jié)構(gòu)設(shè)計(jì)方法不同，結(jié)構(gòu)優(yōu)化設(shè)計(jì)方法基于較成熟的數(shù)學(xué)優(yōu)化理論和精確的有限元分析，可以設(shè)計(jì)出性能更優(yōu)的結(jié)構(gòu)且設(shè)計(jì)過(guò)程更加簡(jiǎn)單。在結(jié)構(gòu)優(yōu)化設(shè)計(jì)領(lǐng)域，拓?fù)鋬?yōu)化設(shè)計(jì)是公認(rèn)的最具挑戰(zhàn)性的研究方向。與形狀優(yōu)化設(shè)計(jì)和尺寸優(yōu)化設(shè)計(jì)相比，拓?fù)鋬?yōu)化設(shè)計(jì)的設(shè)計(jì)空間最大，對(duì)結(jié)構(gòu)性能的改進(jìn)也最大，且設(shè)計(jì)的結(jié)果直接影響后續(xù)的形狀優(yōu)化設(shè)計(jì)和尺寸優(yōu)化設(shè)計(jì)。因此，拓?fù)鋬?yōu)化設(shè)計(jì)成為當(dāng)今結(jié)構(gòu)優(yōu)化設(shè)計(jì)領(lǐng)域的研究熱點(diǎn)。 作為拓?fù)鋬?yōu)化設(shè)計(jì)方法的一種，基于仿生設(shè)計(jì)技術(shù)的自適應(yīng)成長(zhǎng)拓?fù)鋬?yōu)化設(shè)計(jì)方法（簡(jiǎn)稱自適應(yīng)成長(zhǎng)法）通過(guò)模擬自然界分歧系統(tǒng)的成長(zhǎng)和分歧，使結(jié)構(gòu)材料自適應(yīng)于承載環(huán)境而分配，設(shè)計(jì)過(guò)程靈活，實(shí)現(xiàn)容易。本文深入研究了在板殼結(jié)構(gòu)上獲得最優(yōu)的加強(qiáng)筋分布形態(tài)的仿生設(shè)計(jì)方法——板殼結(jié)構(gòu)加強(qiáng)筋分布自適應(yīng)成長(zhǎng)設(shè)計(jì)方法的關(guān)鍵技術(shù)。這些技術(shù)包括基結(jié)構(gòu)的構(gòu)建方案、程序算法中相關(guān)參數(shù)取值對(duì)設(shè)計(jì)結(jié)果的影響、以及“種子”的自動(dòng)選取等。與現(xiàn)有的自適應(yīng)成長(zhǎng)法相比，本文著重對(duì)以下內(nèi)容進(jìn)行研究：對(duì)加強(qiáng)筋的成長(zhǎng)高度進(jìn)行了限制，使之更加符合工程實(shí)際；在加強(qiáng)筋截面寬度與高度之間建立了函數(shù)關(guān)系，保證了加強(qiáng)筋成長(zhǎng)過(guò)程中采用梁?jiǎn)卧M的準(zhǔn)確性；引入了穩(wěn)定指標(biāo)和退化指標(biāo)大大提高了計(jì)算效率；實(shí)現(xiàn)了板殼結(jié)構(gòu)單面加筋的數(shù)值模擬，并在此基礎(chǔ)上，，研究了常用截面類型加強(qiáng)筋的板殼結(jié)構(gòu)加強(qiáng)筋分布自適應(yīng)成長(zhǎng)設(shè)計(jì)方法，以及在加強(qiáng)筋分布設(shè)計(jì)結(jié)果基礎(chǔ)上對(duì)加強(qiáng)筋截面尺寸進(jìn)行優(yōu)化的二次優(yōu)化策略。在關(guān)鍵技術(shù)研究的基礎(chǔ)上，本文將板殼結(jié)構(gòu)加強(qiáng)筋分布自適應(yīng)成長(zhǎng)設(shè)計(jì)方法應(yīng)用于實(shí)際的工程結(jié)構(gòu)設(shè)計(jì)，實(shí)現(xiàn)了以最大剛度為設(shè)計(jì)目標(biāo)的汽車發(fā)動(dòng)機(jī)罩板結(jié)構(gòu)的加強(qiáng)筋分布設(shè)計(jì)。結(jié)果表明，與現(xiàn)有的汽車發(fā)動(dòng)機(jī)罩板設(shè)計(jì)相比，自適應(yīng)成長(zhǎng)法設(shè)計(jì)得到的最優(yōu)結(jié)構(gòu)的重量降低11.11%，結(jié)構(gòu)整體剛度提升29.41%。 在最大剛度加筋板殼結(jié)構(gòu)設(shè)計(jì)的基礎(chǔ)上，本文將其設(shè)計(jì)原理推廣應(yīng)用于提高板殼結(jié)構(gòu)屈曲穩(wěn)定性的加強(qiáng)筋分布設(shè)計(jì)、提高整體剛度的桁架結(jié)構(gòu)設(shè)計(jì)和箱體支撐結(jié)構(gòu)隔板的分布設(shè)計(jì)等設(shè)計(jì)領(lǐng)域。典型算例表明自適應(yīng)成長(zhǎng)法適應(yīng)性好，具有廣泛的應(yīng)用前景。
[Abstract]:With the development of science and technology, the performance requirement of structure is more and more high. It is the common goal of designers to study and establish scientific and efficient design methods and apply them to guiding structural design. Different from the traditional and experiential structural design method, the structural optimization design method is based on more mature mathematical optimization theory and accurate finite element analysis, which can be used to design a structure with better performance and simpler design process. In the field of structural optimization, topology optimization is recognized as the most challenging research direction. Compared with shape optimization design and size optimization design, the design space of topology optimization design is the largest, and the improvement of structure performance is also the largest, and the design results directly affect the subsequent shape optimization design and size optimization design. Therefore, topology optimization has become a hot topic in the field of structural optimization design. As a kind of topology optimization design method, the adaptive growth topology optimization design method based on bionic design technology (abbreviated as adaptive growth method) simulates the growth and bifurcation of natural bifurcation systems. The design process is flexible and easy to realize. In this paper, the key technology of adaptive growth design of stiffened stiffeners for plate and shell structures, which is a bionic design method for obtaining the optimal distribution of stiffeners in plate and shell structures, is studied in detail. These techniques include the construction scheme of the base structure, the influence of the relevant parameters in the program algorithm on the design result, and the automatic selection of "seed". Compared with the existing adaptive growth methods, this paper focuses on the following contents: limiting the growth height of stiffeners to make them more in line with engineering practice, establishing a functional relationship between the cross-section width and height of stiffeners. The accuracy of beam element simulation is guaranteed in the process of strengthening reinforcement, the stability index and degradation index are introduced, the calculation efficiency is greatly improved, and the numerical simulation of plate and shell structure with single reinforcement is realized, and on this basis, In this paper, the adaptive growth design method of stiffened stiffeners for plate and shell structures with common cross-section types is studied, and the quadratic optimization strategy for optimization of stiffener section size based on the design results of stiffener reinforcement distribution is also studied. On the basis of the research of key technology, this paper applies the adaptive growth design method of stiffener reinforcement to the practical engineering structure design. The stiffener distribution design of the automobile engine hood plate with the maximum stiffness as the design goal is realized. The results show that the weight of the optimal structure designed by the adaptive growth method is reduced by 11.11%, and the overall stiffness of the structure is increased by 29.41% compared with the existing automobile engine hood design. Based on the design of stiffened plate and shell structures with maximum stiffness, the design principle is extended to the design of stiffened stiffeners for improving the buckling stability of plate and shell structures in this paper. The design of truss structure and the partition design of box supporting structure to improve the overall stiffness. Typical examples show that the adaptive growth method has good adaptability and has a wide application prospect.
【學(xué)位授予單位】：上海理工大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2011
【分類號(hào)】：TH122
本文編號(hào)：2160040
[Abstract]:With the development of science and technology, the performance requirement of structure is more and more high. It is the common goal of designers to study and establish scientific and efficient design methods and apply them to guiding structural design. Different from the traditional and experiential structural design method, the structural optimization design method is based on more mature mathematical optimization theory and accurate finite element analysis, which can be used to design a structure with better performance and simpler design process. In the field of structural optimization, topology optimization is recognized as the most challenging research direction. Compared with shape optimization design and size optimization design, the design space of topology optimization design is the largest, and the improvement of structure performance is also the largest, and the design results directly affect the subsequent shape optimization design and size optimization design. Therefore, topology optimization has become a hot topic in the field of structural optimization design. As a kind of topology optimization design method, the adaptive growth topology optimization design method based on bionic design technology (abbreviated as adaptive growth method) simulates the growth and bifurcation of natural bifurcation systems. The design process is flexible and easy to realize. In this paper, the key technology of adaptive growth design of stiffened stiffeners for plate and shell structures, which is a bionic design method for obtaining the optimal distribution of stiffeners in plate and shell structures, is studied in detail. These techniques include the construction scheme of the base structure, the influence of the relevant parameters in the program algorithm on the design result, and the automatic selection of "seed". Compared with the existing adaptive growth methods, this paper focuses on the following contents: limiting the growth height of stiffeners to make them more in line with engineering practice, establishing a functional relationship between the cross-section width and height of stiffeners. The accuracy of beam element simulation is guaranteed in the process of strengthening reinforcement, the stability index and degradation index are introduced, the calculation efficiency is greatly improved, and the numerical simulation of plate and shell structure with single reinforcement is realized, and on this basis, In this paper, the adaptive growth design method of stiffened stiffeners for plate and shell structures with common cross-section types is studied, and the quadratic optimization strategy for optimization of stiffener section size based on the design results of stiffener reinforcement distribution is also studied. On the basis of the research of key technology, this paper applies the adaptive growth design method of stiffener reinforcement to the practical engineering structure design. The stiffener distribution design of the automobile engine hood plate with the maximum stiffness as the design goal is realized. The results show that the weight of the optimal structure designed by the adaptive growth method is reduced by 11.11%, and the overall stiffness of the structure is increased by 29.41% compared with the existing automobile engine hood design. Based on the design of stiffened plate and shell structures with maximum stiffness, the design principle is extended to the design of stiffened stiffeners for improving the buckling stability of plate and shell structures in this paper. The design of truss structure and the partition design of box supporting structure to improve the overall stiffness. Typical examples show that the adaptive growth method has good adaptability and has a wide application prospect.
【學(xué)位授予單位】：上海理工大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2011
【分類號(hào)】：TH122
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