状态空间理论在土木工程中的应用与研究综述
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摘要
在简要介绍现代控制论中状态空间法的发展历史概况和状态空间的基本理论的基础上,对近10多年来状态空间理论在建筑结构、市政、路桥、水利等土木工程中应用和研究成果进行回顾,对状态空间法与变分法、有限元法和样条元法等多种方法相结合的基本思想与应用情况进行介绍。
The development history and basic theory of state space method are introduced,which is contained by modern control theory briefly.The research achievement and science trends of the state space theory are reviewed,which were applied in structure,municipal admimstration,road bridge,water conservancy etc.in big civil engineering for more than ten years in the past.The basic idea and application are expounded for the combination of state space method with variational method,finite element method,spline finite element method and some other methods.
The development history and basic theory of state space method are introduced,which is contained by modern control theory briefly.The research achievement and science trends of the state space theory are reviewed,which were applied in structure,municipal admimstration,road bridge,water conservancy etc.in big civil engineering for more than ten years in the past.The basic idea and application are expounded for the combination of state space method with variational method,finite element method,spline finite element method and some other methods.
引文
1范崇,孟繁华.现代控制理论基础.上海:上海交通大学出版社,1990
2 JunKins J L,严拱天.现代状态空间分析在航天器、动力学、估计与控制的应用.控制工程,1991(2):37-50
3范家让.强厚度叠层板壳的精确理论.北京:科学出版社,1996
4钟万勰.结构动力方程的精细时程积分法.大连理工大学学报,1994,34(2):45-50
5 Steele C R,Skogh J.Slope Discontinuities in Pressure Vessels.Journalof Applied Mechanics,1970,37:587-590
6 Reddy J N,Khdeir A A,Librescu L.The Levy Type Solutions forSynunetric Rectangular Composite Plates Using the First-Order Sheardefer Mation Theory.Journal of Applied Mechanics,1987,54(3):740-742
7 BaharLY.A State Space Approach to Elasticity.JFranldinlnst,1975,229:3 341
8 Das Y C,Rao N V S K.A Mixed Method in Elasticity.ASME Jonrnalof Applied Mechanics,1977,44:51-56
9 Khdeir A A,Reddy J N,Librescu L.Analytical Solution of RefinedDeformation Theory for Rectangular Composite Plates.InternationalJournal of Solids and Structures,1987,23(10):1 447-1 463
10 Khdeir A A.A Remark on the State-Space Concept Applied to Bending,Buckling and Free Vibration of Composite Laminates.Computer andStructures,1996,59(5):813-817
11范家让.强厚度叠层悬臂圆柱壳的精确解.应用数学和力学,1995,16(2):133-147
12 Fan Jiarang,Ye Jianqiao.An Exact Solution for the Static andDynamics of Laminated Thick Plates with Orthotroxpic Layers.Int JSolids Structures,1990,26(5/6):655-662
13 Fan Jiarang,Ye Jianqiao.Exact Solutions of Buckling for SimplySupported Thick Laminates,Composite Structures,1993,24:23-28
14范家让,张巨勇.叠层开口圆柱厚壳的静、动态和稳定问题的精确解.中国科学(A辑),1992(6):623-632
15 Fan Jiarang and Zhang Juyong.Analytical Solutions for Thick DoublyCurved Laminated Shells,ASCE,J Engng Mech Div.1992,118(7):1 338-1 356
16范家让,盛宏玉.具有固支边的强厚度叠层板的精确解.力学学报,1992,24(5):574-583
17范家让,盛宏玉.强厚度叠层连续板的精确解.土木工程学报,1994,27(2):1-13
18范家让,盛宏玉.强厚度叠层连续开口圆柱壳精确解.应用数学和力学,1997,18(11):1 001-1 013
19盛宏玉,范家让.非平面应变状态下叠层厚壁筒.应用力学学报,1997,14(2):64-71
20盛宏玉,范家让.具有固支边的任意厚度叠层板的一种新解法.计算物理,1999,16(6):668-673
21 Sheng Hongyu,Fan Jiarang.Axisymmetric Bending for Thick LaminatedCircular Plate under a Concentrated Load.Applied Math&Mech,2000,21(1):95-102
22盛宏玉,范家让.具有固支边的叠层开口柱壳的解析解.复合材料学报,2000,17(4):100-104
23 Hongyu Sheng.Thick Laminated Circular Plate on Elastic FoundationSubjected to a Concentrated Load.Structural Engineering andMechanics,2000,10(5):441-449
24 Sheng H Y,Ye J Q.Free-edge Effect in Cross-Ply Laminated Platesunder a Uniform Extension.Structural Engineering and Mechanics,2004,18(3):377-388
25盛宏玉,高荣誉.非均匀变温时两端固支叠层闭口厚柱壳的热应力分析.工程力学,2000,17(4):117-123
26高荣誉,盛宏玉.变温场中正交异性叠层闭口厚柱壳的解析解.中国科技大学学报,2000,30(2):228-335
27高荣誉,范家让.四边简支强厚度地基板的精确解.合肥工业大学学报,1997,20(1):61-67
28高荣誉.具有固支边横观各向同性叠层地基板的三维解.重庆大学学报,2000,23(5):87-92
29高荣誉.弹性地基上任意厚度叠层板的弯曲问题.建筑结构,2001,31(4):27-30
30高荣誉.复合材料层合地基大厚度板静动力分析.中国矿业大学学报,2001,29(2):143-148
31高荣誉.双参数弹性地基上周边固支叠层厚板的解析解,四川建筑科学研究,2002,28(1):45-49
32盛宏玉.弹性地基上自由层合圆板弯曲问题的解析解.岩土工程学报,2000,22(3):323-326
33钟岱辉,傅传国.桩与多层地基相互作用分析的增量传递矩阵法.工业建筑,1999,29(6):37-47
34 Benifez F C,Rosakis A J.Three-Dimensional Elastostatics of a Layerand a Layered Medium.J Elasticity,1987,18:3-50
35张劲,王宇,王秀喜,等.半无限大层状均匀各向同性介质的基本解.中国科技大学学报,2001,30(2):174-178
36顾尧章,金波.轴对称荷载下多层地基的Boit固结及其变形.工程力学,1992,9(3):8l-93
37钟阳,王哲人,郭大智.求解多层弹性半空间非轴对称问题的传递矩阵法.土木工程学报,1995,28(1):66-72
38陈开旭,陈光敬.解析法求解成层渗透各向异性地基Biot固结轴对称问题.应用力学学报,2000,17(2):7-11
39王建国,于传君.壁式框架分析的状态变量传递法.合肥工业大学学报,2000,23(1):41-46
40吴强,盛宏玉.框架结构在状态空间内的地震反应分析.安徽建筑工业学院,2000,8(3):15-18
41黄本才.变截面高层筒中筒结构传递矩阵法.同济大学学报,1999,21(1):106-110
42钟阳,孙林,黄永根.轴对称半空间层状弹性体系动态反应的理论解.中国公路学报,1998,11(2):24-28
43周强,孙炳楠,唐锦春.大跨度桥梁风振响应的状态空间法分析.浙江大学学报,1995,29(6):665-673
44丁泉顺,陈艾荣.大跨度桥梁多模态耦合颤振的自动分析.土木工程学报,2002,35(4):52-58
45黄胜利,陶韶思.状态空间理论在水利工程中的应用.山东农业大学学报,2001,32(1):37-38
46慕金波,侯克复.建立河流水质模型的状态空间分析法.南京理工大学学报,1994(2):50-57
47 Sosa H,Castro M.Electro Elastic Analysis of Piezoelectric LaminatedStructures.Appl Mech Rev.1993,46(1):521-528
48丁皓江,陈伟球,徐荣桥.压电板壳自由振动的三维精确分析.力学季刊,200l,22(1):1-9
49盛宏玉,董朝文.任意厚度压电层合闭口柱壳的精确解.合肥工业大学学报,2003,26(5):980-985
50范家让,盛宏玉.任意厚度轴对称叠层圆板的静、动态分析.合肥工业大学学报,1998,21(4):11-16
51盛宏玉,范家让.叠层开口厚柱壳静、动态分析的变分解.振动工程学报,2000,13(4):552-558
52高荣誉,盛宏玉.任意厚度横观各向同性地基板的棍合变分解.工业建筑,2004,34(10):40-44
53唐立民.混合状态Hamiltonian元的半解析解和叠层板的计算.计算结构力学及其应用,1992,9(4):347-360
54 Sheng H Y,et al.A Semi-Analytical Finite Element for LaminatedComposite Plates.Composite Structures,2002,57(1-4):117-122
55 Sheng H Y,Ye J Q.A Three-Dimensional State Space Finite ElementSolution for Laminated Composite Cylindrical Shells.Computer Methodsin Applied Mechanics and Engineering,2003,192:2 441-2 459
56周建平.弹性薄板分析的条形传递函数方法.力学学报,1999,30(3):320-328
57王元奉,储德文.精细时积积分法在地震响应分析中的应用.土木工程学报,2004,37(1):20-23
2 JunKins J L,严拱天.现代状态空间分析在航天器、动力学、估计与控制的应用.控制工程,1991(2):37-50
3范家让.强厚度叠层板壳的精确理论.北京:科学出版社,1996
4钟万勰.结构动力方程的精细时程积分法.大连理工大学学报,1994,34(2):45-50
5 Steele C R,Skogh J.Slope Discontinuities in Pressure Vessels.Journalof Applied Mechanics,1970,37:587-590
6 Reddy J N,Khdeir A A,Librescu L.The Levy Type Solutions forSynunetric Rectangular Composite Plates Using the First-Order Sheardefer Mation Theory.Journal of Applied Mechanics,1987,54(3):740-742
7 BaharLY.A State Space Approach to Elasticity.JFranldinlnst,1975,229:3 341
8 Das Y C,Rao N V S K.A Mixed Method in Elasticity.ASME Jonrnalof Applied Mechanics,1977,44:51-56
9 Khdeir A A,Reddy J N,Librescu L.Analytical Solution of RefinedDeformation Theory for Rectangular Composite Plates.InternationalJournal of Solids and Structures,1987,23(10):1 447-1 463
10 Khdeir A A.A Remark on the State-Space Concept Applied to Bending,Buckling and Free Vibration of Composite Laminates.Computer andStructures,1996,59(5):813-817
11范家让.强厚度叠层悬臂圆柱壳的精确解.应用数学和力学,1995,16(2):133-147
12 Fan Jiarang,Ye Jianqiao.An Exact Solution for the Static andDynamics of Laminated Thick Plates with Orthotroxpic Layers.Int JSolids Structures,1990,26(5/6):655-662
13 Fan Jiarang,Ye Jianqiao.Exact Solutions of Buckling for SimplySupported Thick Laminates,Composite Structures,1993,24:23-28
14范家让,张巨勇.叠层开口圆柱厚壳的静、动态和稳定问题的精确解.中国科学(A辑),1992(6):623-632
15 Fan Jiarang and Zhang Juyong.Analytical Solutions for Thick DoublyCurved Laminated Shells,ASCE,J Engng Mech Div.1992,118(7):1 338-1 356
16范家让,盛宏玉.具有固支边的强厚度叠层板的精确解.力学学报,1992,24(5):574-583
17范家让,盛宏玉.强厚度叠层连续板的精确解.土木工程学报,1994,27(2):1-13
18范家让,盛宏玉.强厚度叠层连续开口圆柱壳精确解.应用数学和力学,1997,18(11):1 001-1 013
19盛宏玉,范家让.非平面应变状态下叠层厚壁筒.应用力学学报,1997,14(2):64-71
20盛宏玉,范家让.具有固支边的任意厚度叠层板的一种新解法.计算物理,1999,16(6):668-673
21 Sheng Hongyu,Fan Jiarang.Axisymmetric Bending for Thick LaminatedCircular Plate under a Concentrated Load.Applied Math&Mech,2000,21(1):95-102
22盛宏玉,范家让.具有固支边的叠层开口柱壳的解析解.复合材料学报,2000,17(4):100-104
23 Hongyu Sheng.Thick Laminated Circular Plate on Elastic FoundationSubjected to a Concentrated Load.Structural Engineering andMechanics,2000,10(5):441-449
24 Sheng H Y,Ye J Q.Free-edge Effect in Cross-Ply Laminated Platesunder a Uniform Extension.Structural Engineering and Mechanics,2004,18(3):377-388
25盛宏玉,高荣誉.非均匀变温时两端固支叠层闭口厚柱壳的热应力分析.工程力学,2000,17(4):117-123
26高荣誉,盛宏玉.变温场中正交异性叠层闭口厚柱壳的解析解.中国科技大学学报,2000,30(2):228-335
27高荣誉,范家让.四边简支强厚度地基板的精确解.合肥工业大学学报,1997,20(1):61-67
28高荣誉.具有固支边横观各向同性叠层地基板的三维解.重庆大学学报,2000,23(5):87-92
29高荣誉.弹性地基上任意厚度叠层板的弯曲问题.建筑结构,2001,31(4):27-30
30高荣誉.复合材料层合地基大厚度板静动力分析.中国矿业大学学报,2001,29(2):143-148
31高荣誉.双参数弹性地基上周边固支叠层厚板的解析解,四川建筑科学研究,2002,28(1):45-49
32盛宏玉.弹性地基上自由层合圆板弯曲问题的解析解.岩土工程学报,2000,22(3):323-326
33钟岱辉,傅传国.桩与多层地基相互作用分析的增量传递矩阵法.工业建筑,1999,29(6):37-47
34 Benifez F C,Rosakis A J.Three-Dimensional Elastostatics of a Layerand a Layered Medium.J Elasticity,1987,18:3-50
35张劲,王宇,王秀喜,等.半无限大层状均匀各向同性介质的基本解.中国科技大学学报,2001,30(2):174-178
36顾尧章,金波.轴对称荷载下多层地基的Boit固结及其变形.工程力学,1992,9(3):8l-93
37钟阳,王哲人,郭大智.求解多层弹性半空间非轴对称问题的传递矩阵法.土木工程学报,1995,28(1):66-72
38陈开旭,陈光敬.解析法求解成层渗透各向异性地基Biot固结轴对称问题.应用力学学报,2000,17(2):7-11
39王建国,于传君.壁式框架分析的状态变量传递法.合肥工业大学学报,2000,23(1):41-46
40吴强,盛宏玉.框架结构在状态空间内的地震反应分析.安徽建筑工业学院,2000,8(3):15-18
41黄本才.变截面高层筒中筒结构传递矩阵法.同济大学学报,1999,21(1):106-110
42钟阳,孙林,黄永根.轴对称半空间层状弹性体系动态反应的理论解.中国公路学报,1998,11(2):24-28
43周强,孙炳楠,唐锦春.大跨度桥梁风振响应的状态空间法分析.浙江大学学报,1995,29(6):665-673
44丁泉顺,陈艾荣.大跨度桥梁多模态耦合颤振的自动分析.土木工程学报,2002,35(4):52-58
45黄胜利,陶韶思.状态空间理论在水利工程中的应用.山东农业大学学报,2001,32(1):37-38
46慕金波,侯克复.建立河流水质模型的状态空间分析法.南京理工大学学报,1994(2):50-57
47 Sosa H,Castro M.Electro Elastic Analysis of Piezoelectric LaminatedStructures.Appl Mech Rev.1993,46(1):521-528
48丁皓江,陈伟球,徐荣桥.压电板壳自由振动的三维精确分析.力学季刊,200l,22(1):1-9
49盛宏玉,董朝文.任意厚度压电层合闭口柱壳的精确解.合肥工业大学学报,2003,26(5):980-985
50范家让,盛宏玉.任意厚度轴对称叠层圆板的静、动态分析.合肥工业大学学报,1998,21(4):11-16
51盛宏玉,范家让.叠层开口厚柱壳静、动态分析的变分解.振动工程学报,2000,13(4):552-558
52高荣誉,盛宏玉.任意厚度横观各向同性地基板的棍合变分解.工业建筑,2004,34(10):40-44
53唐立民.混合状态Hamiltonian元的半解析解和叠层板的计算.计算结构力学及其应用,1992,9(4):347-360
54 Sheng H Y,et al.A Semi-Analytical Finite Element for LaminatedComposite Plates.Composite Structures,2002,57(1-4):117-122
55 Sheng H Y,Ye J Q.A Three-Dimensional State Space Finite ElementSolution for Laminated Composite Cylindrical Shells.Computer Methodsin Applied Mechanics and Engineering,2003,192:2 441-2 459
56周建平.弹性薄板分析的条形传递函数方法.力学学报,1999,30(3):320-328
57王元奉,储德文.精细时积积分法在地震响应分析中的应用.土木工程学报,2004,37(1):20-23
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