双层柱面网壳形状优化设计及稳定性分析
发布时间：2018-08-12 19:50
【摘要】：网壳结构是由杆件沿着某个曲面有规律地布置并通过结点连接起来而组成的空间结构体系,它兼有杆系结构和薄壳结构的固有特性,覆盖跨度大、受力合理、造型优美且富有艺术表现力,是当前大、中跨建筑中应用广泛的一类空间结构形式。 结构优化设计就是在给定的条件下从众多可行的方案中寻求优化的最好方案。它是根据各种实际工程结构问题建立相应数学模型,利用最优化技术,寻找在满足各种约束条件下的最优解。与传统设计相比,由于其具有设计合理、节省材料等优点而受到国内外工程界的广泛重视。 本文对双层柱面网壳进行了形状优化,并对优化后的正放四角锥柱面网壳进行稳定性分析。首先运用大型有限元分析软ALGOR对双层柱面网壳进行静力分析,得到了柱面网壳结在不同矢跨比和厚跨比下的受力特性和位移特性,为接下来的双层柱面网壳结构形状优化初始宏观曲面参数和杆件截面的选取提供依据。 然后针对双层柱面网壳结构的特点,提出了双层柱面网壳结构形状优化的两级算法。第一级优化中固定结构的几何外形,采用离散变量的一维搜索法和相对差商法进行截面优化；在第二级优化中,针对双层柱面网壳节点众多的特点,将设计变量由节点坐标转化为结构宏观曲面形状参数,以结构的矢高和厚度作为设计变量,采用连续变量的优化方法一复形法进行形状优化,并通过算例验证了算法的有效性和可靠性。接下来利用上述算法对工程中常用的五种双层柱面网壳进行形状优化设计,得到了不同跨度、不同网格划分的双层柱面网壳的最优矢跨比和厚跨比,以及优化后的双层柱面网壳结构单位用钢量,这对双层柱面网壳的设计和选型具有一定的参考价值。 网壳结构稳定性是结构设计中的关键问题,单层网壳和厚度较小的双层网壳都有失稳的可能,尤其当跨度较大时,稳定问题会较为突出。最后本文利用ALGOR软件对优化前后的正放四角锥柱面网壳进行线性和非线性屈曲分析,确定网壳结构优化后的屈曲荷载及屈曲模态,验证形状优化后的双层柱面网壳结构的安全性和可靠性。
[Abstract]:The reticulated shell structure is a space structure system which is arranged regularly by the members along a curved surface and connected by the nodes. It has the inherent characteristics of both the rod system structure and the thin shell structure. Beautiful shape and rich artistic expressiveness, is a kind of space structure form which is widely used in large, medium span architecture at present. Structural optimization design is to seek the best scheme from many feasible schemes under given conditions. It is based on various practical engineering structural problems to establish the corresponding mathematical model, using the optimization technology to find the optimal solution under various constraints. Compared with the traditional design, it has been widely paid attention to by the engineering circles at home and abroad because of its advantages of reasonable design and material saving. In this paper, the shape of double layer cylindrical reticulated shell is optimized, and the stability of the optimized cylindrical shell is analyzed. Firstly, the static analysis of double-layer cylindrical latticed shells is carried out by using large scale finite element analysis soft ALGOR, and the stress and displacement characteristics of cylindrical reticulated shells under different ratio of span to vector and thickness to span are obtained. It provides the basis for the optimization of the initial macroscopic surface parameters and the selection of the member section of the double-layer cylindrical reticulated shell structure. Then, according to the characteristics of double-layer cylindrical reticulated shell structure, a two-level algorithm for shape optimization of double-layer cylindrical reticulated shell structure is proposed. In the first stage optimization, the geometric shape of the fixed structure is optimized by using the one-dimensional search method of discrete variables and the relative difference quotient method, and in the second stage optimization, aiming at the characteristics of numerous nodes of double-layer cylindrical reticulated shell, The design variables are transformed from nodal coordinates to structural macroscopic surface shape parameters. The vector height and thickness of the structure are taken as design variables, and the optimization method of continuous variables, complex method, is used to optimize the shape. The validity and reliability of the algorithm are verified by an example. Then the shape optimization design of five kinds of double-layer cylindrical latticed shells commonly used in engineering is carried out by using the above algorithm, and the optimal vector span ratio and thickness span ratio of double-layer cylindrical reticulated shells with different spans and different meshes are obtained. The optimized steel content of double-layer cylindrical reticulated shell has certain reference value for the design and selection of double-layer cylindrical reticulated shell. The stability of latticed shell structure is a key problem in structural design. Both single-layer latticed shell and double-layer latticed shell with small thickness are likely to be unstable, especially when the span is large, the stability problem will be more prominent. Finally, the linear and nonlinear buckling analysis of the cylindrical reticulated shells with four corners before and after optimization is carried out by using ALGOR software, and the buckling loads and buckling modes of the reticulated shells are determined. The security and reliability of the double layer cylindrical reticulated shell with optimized shape are verified.
【学位授予单位】：山东建筑大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：TU399
本文编号：2180173
[Abstract]:The reticulated shell structure is a space structure system which is arranged regularly by the members along a curved surface and connected by the nodes. It has the inherent characteristics of both the rod system structure and the thin shell structure. Beautiful shape and rich artistic expressiveness, is a kind of space structure form which is widely used in large, medium span architecture at present. Structural optimization design is to seek the best scheme from many feasible schemes under given conditions. It is based on various practical engineering structural problems to establish the corresponding mathematical model, using the optimization technology to find the optimal solution under various constraints. Compared with the traditional design, it has been widely paid attention to by the engineering circles at home and abroad because of its advantages of reasonable design and material saving. In this paper, the shape of double layer cylindrical reticulated shell is optimized, and the stability of the optimized cylindrical shell is analyzed. Firstly, the static analysis of double-layer cylindrical latticed shells is carried out by using large scale finite element analysis soft ALGOR, and the stress and displacement characteristics of cylindrical reticulated shells under different ratio of span to vector and thickness to span are obtained. It provides the basis for the optimization of the initial macroscopic surface parameters and the selection of the member section of the double-layer cylindrical reticulated shell structure. Then, according to the characteristics of double-layer cylindrical reticulated shell structure, a two-level algorithm for shape optimization of double-layer cylindrical reticulated shell structure is proposed. In the first stage optimization, the geometric shape of the fixed structure is optimized by using the one-dimensional search method of discrete variables and the relative difference quotient method, and in the second stage optimization, aiming at the characteristics of numerous nodes of double-layer cylindrical reticulated shell, The design variables are transformed from nodal coordinates to structural macroscopic surface shape parameters. The vector height and thickness of the structure are taken as design variables, and the optimization method of continuous variables, complex method, is used to optimize the shape. The validity and reliability of the algorithm are verified by an example. Then the shape optimization design of five kinds of double-layer cylindrical latticed shells commonly used in engineering is carried out by using the above algorithm, and the optimal vector span ratio and thickness span ratio of double-layer cylindrical reticulated shells with different spans and different meshes are obtained. The optimized steel content of double-layer cylindrical reticulated shell has certain reference value for the design and selection of double-layer cylindrical reticulated shell. The stability of latticed shell structure is a key problem in structural design. Both single-layer latticed shell and double-layer latticed shell with small thickness are likely to be unstable, especially when the span is large, the stability problem will be more prominent. Finally, the linear and nonlinear buckling analysis of the cylindrical reticulated shells with four corners before and after optimization is carried out by using ALGOR software, and the buckling loads and buckling modes of the reticulated shells are determined. The security and reliability of the double layer cylindrical reticulated shell with optimized shape are verified.
【学位授予单位】：山东建筑大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：TU399
【引证文献】
相关会议论文 前1条
1 李芳静;戴国欣;傅秋妮;高沛峻;倪韶萍;;李渡体育中心体育馆钢结构屋盖设计[A];钢结构工程研究（九）——中国钢结构协会结构稳定与疲劳分会第13届(ISSF-2012)学术交流会暨教学研讨会论文集[C];2012年
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