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心形線雙曲拱壩體型建模與有限元分析

發(fā)布時間:2018-06-18 08:44

  本文選題:心形線 + 雙曲拱壩; 參考:《重慶交通大學》2014年碩士論文


【摘要】:隨著我國經(jīng)濟發(fā)展的突飛猛進,國家各個行業(yè)對電力的需求也越來越大,水電作為一種可持續(xù)發(fā)展的能源戰(zhàn)略方針,對國家經(jīng)濟和社會發(fā)展有著巨大的貢獻,但水電能源作為潛在的健康能源,在我國的已開發(fā)程度遠遠不及歐美國家,因此開發(fā)利用我國豐富的水電資源成為水利水電建設的重要任務之一,而拱壩作為一種既安全穩(wěn)定,又經(jīng)濟美觀的壩型,在現(xiàn)代水利水電建設中發(fā)揮著重要的作用,尤其是在地質(zhì)地形條件較好的峽谷中,有著不可替代的作用。人類修建拱壩有著悠久的歷史,拱壩的線形也從最早開始的圓弧拱壩,發(fā)展到后來的拋物線拱壩,橢圓拱壩,雙曲線拱壩,三次樣條曲線拱壩,對數(shù)螺線拱壩以及混合曲線拱壩,可以看出拱壩線形的設計與研究已日趨成熟,但實際上這僅僅限于上述已有的拱壩線形研究,如果不創(chuàng)新突破,拱壩線形的研究終將停滯不前,同時拱壩未來的發(fā)展趨勢是面對更多不利的地質(zhì)地形條件,這樣就需要更多的線形來進行對比論證,所以研究一種新線形對拱壩發(fā)展至關重要。本文在這樣的背景之下,首先提出了一種拱壩拱圈的新線形——心形線,以心形線為創(chuàng)新出發(fā)點和研究對象,推導了心形線作為拱壩拱圈中軸線的數(shù)學方程并建立了心形線雙曲拱壩的數(shù)學模型,并通過在AutoCAD中與C語言程序設計結(jié)合實現(xiàn)了心形線雙曲拱壩的三維實體模型的程序智能繪制;然后介紹了有限元法的相關原理和ANSYS軟件的相關應用;接著設計了心形線雙曲拱壩在ANSYS中參數(shù)化建模的程序;再接著在ANSYS中對心形線雙曲拱壩在特殊荷載工況下進行仿真模擬,根據(jù)在有限元分析應力結(jié)果,得出心形線作為拱壩拱圈的一種新線形的合理性,再通過與拋物線雙曲拱壩進行對比,得出心形線雙曲拱壩的優(yōu)缺點。心形線雙曲拱壩的提出及體型建模將為新的拱壩研究與發(fā)展提供理論基礎和科學依據(jù)。 作為本論文中研究重點的心形線,其本身的直角坐標系方程用于拱壩建模十分復雜,但通過與心形線的極坐標方程結(jié)合,找到了心形線作為拱壩線形進行建模的突破點,因此首先根據(jù)心形線的極坐標方程推導了心形線作為拱圈中軸線的數(shù)學方程,建立了心形線的極角與拱壩半中心角之間的數(shù)學關系,結(jié)合已建拱壩的體型參數(shù)特點,初步設定了半中心角,就可得到心形線本身的參數(shù),根據(jù)已得到的心形線參數(shù),就可建立心形線拱圈中軸線的數(shù)學方程以及上下游拱圈的數(shù)學方程,通過與設計規(guī)范中的拱冠梁數(shù)學方程結(jié)合,并利用C語言程序設計進行編程,實現(xiàn)了心形線雙曲拱壩坐標點的計算和繪制,,曲線的擬合,曲面的生成以及拱壩體型的建模;在完成初步建模之后,便可在ANSYS中進行應力分析,并根據(jù)有限元分析結(jié)果,對應力不符合設計規(guī)范的部位進行參數(shù)的調(diào)整,最終可得到符合設計規(guī)范的心形線雙曲拱壩,本文為以后進行心形線雙曲拱壩的優(yōu)化設計奠定了基礎。
[Abstract]:With the rapid development of China's economy, the demand for electricity is increasing in all industries. As a sustainable energy strategy, hydropower has a great contribution to the national economy and social development. However, as a potential healthy energy source, hydropower is far less developed in our country than in Europe and the United States. The development and utilization of rich water and electricity resources in China has become one of the important tasks of water conservancy and hydropower construction, and arch dam, as a kind of safe and stable, economical and beautiful dam, plays an important role in the construction of modern water conservancy and hydropower, especially in the gorge valley with better geological and terrain conditions. The arch dam has a long history, and the line shape of the arch dam is also developed from the earliest arc arch dam to the later parabolic arch dam, the ellipse arch dam, the hyperbolic arch dam, the three spline curve arch dam, the logarithmic spiral arch dam and the mixed curve arch dam. It can be seen that the design and research of the arch dam alignment have matured increasingly, but in fact it is only limited to the above mentioned above. If there is no breakthrough in some arch dams, the research of arch dam alignment will eventually stagnate, and the future development trend of arch dam is to face more unfavorable geological and topographic conditions, so it needs more linear shape to compare and demonstrate, so it is very important to study a new line shape for the development of arch dam. This paper is in this background. At first, a new line of arch dam arch ring, heart shape line, is proposed. The mathematical equation of the heart shape line as the central axis of arch dam arch is derived and the mathematical model of the heart shape line hyperbolic arch dam is established, and the hyperbolic arch of the heart line is realized by combining the program design of the AutoCAD with the C language program. The program intelligent drawing of the 3D solid model of the dam is made, and then the related principles of the finite element method and the related application of the ANSYS software are introduced. Then the parameterized modeling program of the hyperbolic arch dam in the ANSYS is designed, and then the simulation of the hyperbolic arch dam of the heart shape line in the special load condition is carried out in the ANSYS. According to the analysis of the stress results, the reasonableness of the heart shape line as a new line of arch dam arch ring is obtained. By comparing with the parabolic hyperbolic arch dam, the advantages and disadvantages of the hyperbolic arch dam of the heart shape line are obtained. The proposal of the hyperbolic arch dam of the heart line and the shape modeling will provide the theoretical basis and scientific basis for the new arch dam research and development.
As the focus line of the study in this paper, its own rectangular coordinate system is very complex for the modeling of arch dam, but by combining with the polar coordinate equation of the heart shape line, the breakthrough point of the heart shape line as the shape of the arch dam is found, so the heart line is derived as the central axis of the arch, according to the polar coordinate equation of the heart shape line. The mathematical relation between the pole angle of the heart shape line and the half center angle of the arch dam is established, and the parameters of the heart shape line can be obtained by combining the characteristics of the shape parameters of the arch dam, and the parameters of the heart shape line can be obtained. The mathematical equation is combined with the mathematical equation of the arch crown beam in the design code, and is programmed by C programming. The calculation and drawing of the coordinate point of the hyperbolic arch dam of the heart shape line, the fitting of the curve, the formation of the curved surface and the modeling of the shape of the arch dam are realized, and the stress analysis can be carried out in the ANSYS after the initial step modeling is completed. According to the result of the finite element analysis, the parameters are adjusted according to the parts of the force which do not conform to the design standard. Finally, the double curved arch dam which meets the design standard can be obtained. This paper lays a foundation for the optimization design of the hyperbolic arch dam of the heart shape.
【學位授予單位】:重慶交通大學
【學位級別】:碩士
【學位授予年份】:2014
【分類號】:TV642.4

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