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索拱结构体型及稳定性研究

Study of the Type and Stability of Cable-Arch Structure

【作者】 杨晓明

【导师】 郝际平;

【作者基本信息】 西安建筑科技大学 , 结构工程, 2005, 博士

【摘要】 拱结构具有良好的受力性能和审美价值,是被广泛应用的结构型式之一,但拱结构在反对称荷载作用下其受力性能较差,另外,拱结构支座的水平反力很大,要求下部支承结构有较大的水平刚度,而对于屋面结构满足此要求在实际工程中很难实现,索拱结构是拱与索的杂交结构,与无索拱相比其受力性能提高了很多,尤其是反对称荷载下更是如此,同时,其水平反力得到了控制。对于支座水平刚度要求的减少使得实际应用相当方便。本文对索拱结构进行了深入的研究,为该结构在实际工程中应用打下了坚实的基础。本文工作的具体内容有: 1、全面回顾了拱及其组合结构的结构形式以及索拱结构形式的来源、目前存在的问题和研究现状,并指出拱的组合结构以其良好的受力性能、审美价值以及丰富的组合形式是一种很有生命力的结构形式,在实际工程中具有广泛的应用前景。 2、索拱结构为大跨度柔性结构,只有用几何非线性分析方法对其稳定性研究,才可满足工程的实际需要,本文采用的几何非线性有限元方法是进行分析的更精确完善的力学模式,基于虚功原理,推导出了U.L.格式的空间梁元和索元的几何非线性有限元公式,采用Newton—Raphson法和弧长法求解了非线性平衡过程。 3、由于索拱结构中的矢跨比,荷载作用方式对索拱结构的稳定性起至关重要的作用,本文就六种索拱结构在不同矢跨比,及不同荷载作用方式下的特征值、极值荷载和整体刚度进行了讨论,就六种索拱结构的稳定性进行了对比研究。得到了每种索拱结构的受力性能。

【Abstract】 With the characteristics of good load carring capacity and aesthetic feeling , arch structure has been widely used. But the arch structure has weakness in carring asymmetric load, especially having a large horizontal force in the skewback so that needing a large rigidity in the skewback support. But it is more difficult to meet the condition as a root structure. Compared with the arch structure, the cable-arch structure is improved greatly in earring load capacity, particularly in asymmetric load and decrease largely the horizontal force .For this reason, the cable-arch structure is consenienl for used in actual project. The behavior of cable-arch structure is studied in detail in this paper. The study lays solid theoretical foundations of applying the structure to actual projects.The relevant contents are as follows:1 The History、 study and problem of arch structure and arch composite structure at present is summarized in the paper. For the characteristics of good earring capacity、 aesthetic feeling and rich composite types , the arch composite structure would be widely used in actual project. The cable-arch structure is a kind of arch composite structure.2 The cable-arch structure is used often as a large span structure.Only using geometrical non-linearity to study the stability of the cable-arch structure can content the need of actual enginerring. A more perfect geometric nonliner mechanical mode is proposed here . Geometric nonlinear limit element method formulas of spatial beamelement and cable element are derrived. Geometric nonlinear equilibrium path is analyzed by Newton-Raphson Methed and Arch-length-type Method.3 Rise-span ratio and load action is important for the stability of cable-arch structure, The eigin, limit earring capacity and overall rigidity of six kinds of cable-arch structure are studied in different from rise-span ratio and load action, and the stability of the structures are comparatively studied so that the earring capacity of the six kinds of sturctures are obtained in the paper.4 Comparated with arch structure, the horizontal force is decreased largly in the cable-structure.The stability of six kinds of cable-arch structure are studied in defferent from sdewback anti-thrust rigidity and area of cross section of cable,when skewback anti-thrust rigity is small,the large earring capacity can be obtained in the structures. The capacity make it possible that the cable-arch structure can be used largly in actual project.5 A paraboloid cabe-arch structure and catenary cable-arch structure has not studied before.The stability of the structure is studied in defferent from load action n rise-span ratio ,area of cross section of cable and skewback anti-thrust rigidity. The study shows that the earring capacity is same as the cylindrical structure.6 For cable-arch stoucture can be used greatly in actual project, based on above work, a simple design method is developed for cable-arch structure.

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