单层球面网壳结构动力稳定分析
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摘要
本文阐述结构动力稳定性的基本概念，动力稳定研究方法。通过非线性有限元分析空间架单元节点大位移、大转角产生的几何非线性，采用Ｍｉｓｅｓ屈服准则和Ｐｒａｎｄｔｌ－Ｒｅｕｓｓ流动法则模拟材料弹塑性本构关系。讨论网壳结构动力失稳机理。通过大型工程实例分析，验证本文的理论和所编制程序的正确性。
The dynamic stability of a single layer reticulated dome is studied in the paper. Then, a mechanism of the dynamic instability of a structure is proposed. A non-linear three dimensional beam finite element is used for the non-linear analysis. Combining a geometric non-linearity with a material non-linearity, then extended to the time-history analyses is accomplished in this study. The large displacements and large rotations are at same time analyzed in a geometrically non-linear analysis. In the material non-linear analysis, we adopt the Misses yield criterion and Prandtl-Reuss flow rule. The dynamic stability of a real structure is examined to verify the correctness of the developed program.
The dynamic stability of a single layer reticulated dome is studied in the paper. Then, a mechanism of the dynamic instability of a structure is proposed. A non-linear three dimensional beam finite element is used for the non-linear analysis. Combining a geometric non-linearity with a material non-linearity, then extended to the time-history analyses is accomplished in this study. The large displacements and large rotations are at same time analyzed in a geometrically non-linear analysis. In the material non-linear analysis, we adopt the Misses yield criterion and Prandtl-Reuss flow rule. The dynamic stability of a real structure is examined to verify the correctness of the developed program.
引文
1 G.J. Simtses. Dynamic stability of suddenly loaded structures. Springer - Verlag New York Ine. 1990
2 Budiansky B., Hutchion J.W.Dynamic Buckling of Imperfectionsensitive Structures.Proc.XI, Int.Conf.Appl.Mech., Mechanics. 1964
3 Budiansky.Dynamic Stability of Structures: Criteria and Estimates. Herrmann ed.Proc.Int. Conf.Dynamic Stability of Structures, Pergamon Press, 1967,83 - 106
4 V.Svalbonas, A.Kalnins.Dynamic Buckling of Shell: Evaluation ofVarious Method. Nucleax Engineering and Design. 1977,44: 331- 356
5 R.H.Messier, P.V.Marcal.A Finite Element Algorithan for theDetermination of Dynamic Buckling. Belytschko al.Finite ElementAnalysis of Transient Nonlinear Structural.ASCEAppl. Mech. Symp.. Series, 1975, 133 - 156
6 S.M.Holzer.Static and Dynamic Stability of Reticulated Shells.International Colloquium on Stability of Structures under Static andDynamic Loads, 1977, 27 -39
7 Kim.S.D.et al.Direct and Indirect Snapping of Shallow E.P.Shellunder the up and down Earthquake Excitation, Bull ERS. 1990,23
8曲乃泗,张滨.任意空间杆系结构的动力稳定性分析.工 业建筑,1989
9初良成,曲乃泗等.空间结构横向动力稳定的有限元振动 分析.地震工程与工程振动,1993,13(3):64～72
10姚坚,宋伯铨.弹性圆拱在考虑几何非线性和初始缺陷情 况下的动力稳定性分析.计算结构力学及其应用,1992,9 (3):253-261
11孙建恒,夏亨熹.网壳结构非线性动力稳定分析.空间结 构,1994,25-31
12 C.Oran.Tangent Stiffness in Space Frames.ASCE, ST.Div. 1973,99(6): 987 - 1001
13 J.L.Meek, H.S.Tan.Geometrically Nonlinear Analysis of SpaceFrames by an Incremental Iterative Technique., Compter Methodsin Applied Mechanics and Engineering, 1984,47:261 - 282
14 K.S.Surana, Geometrically Non-linear Formulation for Three Dimensional Curved Beam Element with Large Rotations., International Journal for Numerical Method in Engineering, 1989,28:43- 73
15 K.J.Bathe, H.Ozdemir.Elastic-plastic Large Deformation Staticand Dynamic Analaysis. Computer and Structures, 1976,6:81 - 92
16 T. Belytschko, L. Schuer. Large Displacement Transient Analysis ofSpace Frames. International Journal for Numerical Method in Engineering, 1977, 11:65 - 84
17 Wang Ce, Shen Shizhao.Nonlinear Dynamic Response and Collapse Analysis of Spatial Truss Structures. Symposium on Nonlinear Analysis and Design for Shell and Spatial Structures, Tokyo,1993, 553 - 560
18 Wang Ce, Shen Shizhao.Dynamic Stability of ReticulatedDome.Proceedings of International Conference on Advances inSteel Structures, ICASS, 96, Pergamon, Hong Kong, 1996,1065 - 1070
2 Budiansky B., Hutchion J.W.Dynamic Buckling of Imperfectionsensitive Structures.Proc.XI, Int.Conf.Appl.Mech., Mechanics. 1964
3 Budiansky.Dynamic Stability of Structures: Criteria and Estimates. Herrmann ed.Proc.Int. Conf.Dynamic Stability of Structures, Pergamon Press, 1967,83 - 106
4 V.Svalbonas, A.Kalnins.Dynamic Buckling of Shell: Evaluation ofVarious Method. Nucleax Engineering and Design. 1977,44: 331- 356
5 R.H.Messier, P.V.Marcal.A Finite Element Algorithan for theDetermination of Dynamic Buckling. Belytschko al.Finite ElementAnalysis of Transient Nonlinear Structural.ASCEAppl. Mech. Symp.. Series, 1975, 133 - 156
6 S.M.Holzer.Static and Dynamic Stability of Reticulated Shells.International Colloquium on Stability of Structures under Static andDynamic Loads, 1977, 27 -39
7 Kim.S.D.et al.Direct and Indirect Snapping of Shallow E.P.Shellunder the up and down Earthquake Excitation, Bull ERS. 1990,23
8曲乃泗,张滨.任意空间杆系结构的动力稳定性分析.工 业建筑,1989
9初良成,曲乃泗等.空间结构横向动力稳定的有限元振动 分析.地震工程与工程振动,1993,13(3):64～72
10姚坚,宋伯铨.弹性圆拱在考虑几何非线性和初始缺陷情 况下的动力稳定性分析.计算结构力学及其应用,1992,9 (3):253-261
11孙建恒,夏亨熹.网壳结构非线性动力稳定分析.空间结 构,1994,25-31
12 C.Oran.Tangent Stiffness in Space Frames.ASCE, ST.Div. 1973,99(6): 987 - 1001
13 J.L.Meek, H.S.Tan.Geometrically Nonlinear Analysis of SpaceFrames by an Incremental Iterative Technique., Compter Methodsin Applied Mechanics and Engineering, 1984,47:261 - 282
14 K.S.Surana, Geometrically Non-linear Formulation for Three Dimensional Curved Beam Element with Large Rotations., International Journal for Numerical Method in Engineering, 1989,28:43- 73
15 K.J.Bathe, H.Ozdemir.Elastic-plastic Large Deformation Staticand Dynamic Analaysis. Computer and Structures, 1976,6:81 - 92
16 T. Belytschko, L. Schuer. Large Displacement Transient Analysis ofSpace Frames. International Journal for Numerical Method in Engineering, 1977, 11:65 - 84
17 Wang Ce, Shen Shizhao.Nonlinear Dynamic Response and Collapse Analysis of Spatial Truss Structures. Symposium on Nonlinear Analysis and Design for Shell and Spatial Structures, Tokyo,1993, 553 - 560
18 Wang Ce, Shen Shizhao.Dynamic Stability of ReticulatedDome.Proceedings of International Conference on Advances inSteel Structures, ICASS, 96, Pergamon, Hong Kong, 1996,1065 - 1070
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