| [1] | Roberts J B, Spanos P D. Random vibration and statistical linearization [M]. John Wiley & Sons, 1990.
|
| [2] | 李杰. 随机结构系统——分析与建模[M]. 北京: 科学出版社, 1996.
|
| [3] | Li Jie. Stochastic structural system: Analysis and modeling [M]. Beijing: Science Press, 1996. (in Chinese)
|
| [4] | Li J, Chen J B. Stochastic dynamics of structures [M]. John Wiley & Sons, 2009.
|
| [5] | Lutes L D, Sarkani S. Random vibrations: Analysis of structural and mechanical systems [M]. Amsterdam, Elsevier, 2004.
|
| [6] | 欧进萍, 王光远. 结构随机振动[M]. 北京: 高等教育出版社, 1998.
|
| [7] | Shinozuka M. Monte Carlo solution of structural dynamics [J]. Computers and Structures, 1972, 5/6(2): 855―874.
|
| [8] | Kleiber M, Hien T D. The stochastic finite element method: Basic perturbation technique and computer implementation [M]. John Wiley & Sons, 1992.
|
| [9] | Ghanem R, Spanos P D. Stochastic finite elements: A spectral approach [M]. Berlin: Springer-Verlag, 1991
|
| [10] | Xiu D B. Fast numerical methods for stochastic computations [J]. Communications in Computational Physics, 2009, 5(2/3/4): 242―272.
|
| [11] | 李杰. 随机动力系统的物理逼近[J]. 中国科技论文在线, 2006, 1(2): 95―104.
|
| [12] | Li Jie. A physical approach to stochastic dynamical systems [J]. Sciencepaper Online, 2006, 1(2): 95―104. (in Chinese)
|
| [13] | 李杰, 陈建兵. 随机动力系统中的概率密度演化方程及其研究进展[J]. 力学进展, 2010, 40(2): 170―188.
|
| [14] | Li Jie, Chen Jianbing. Advances in the research on probability density evolution equations of stochastic dynamical systems [J]. Advances in Mechanics, 2010, 40(2): 170―188. (in Chinese)
|
| [15] | Housner G W. Characteristics of strong-motion earthquakes [J]. Bull Seismol Society Am, 1947, 37(1): 19―31.
|
| [16] | Crandall S H. Random vibration [M]. Cambridge: MIT Press, 1958.
|
| [17] | Kanai K. Semi-empirical formula for the seismic characteristics of the ground [J]. Bull. Earthquake Research Institute, University of Tokyo, 1957, 35: 309―325.
|
| [18] | 胡聿贤, 周锡元. 弹性体系在平稳和平稳化地震运动下的反应[C]// 刘恢先. 地震工程研究报告集第一集.北京: 科学出版社, 1962: 33―50.
|
| [19] | Hu Yuxian, Zhou Xiyuan. Response of elastic structures under stationary and stationarized ground motions [C]// Liu Huixian. Collected Research Reports on Earthquake Engineering. Beijing: Science Press, 1962: 33―50. (in Chinese)
|
| [20] | 王光远. 在非平稳地震作用下结构反应的分析方法[J]. 土木工程学报, 1964, 10(1): 14―22.
|
| [21] | Wang Guangyuan. Response of structures under non-stationary ground motions [J]. Chinese Journal of Civil Engineering, 1964, 10(1): 14―22. (in Chinese)
|
| [22] | Amin M, Ang A H-S. Nonstationary stochastic model of earthquake motions [J]. Journal of the Engineering Mechanics Division, ASCE, 1968, 94(EM2): 559―583.
|
| [23] | Jennings P C, Housner G W, Tsai N C. Simulated earthquake motions [R]. Report of Earthquake Engineering Research Laboratory, California Institute of Technology, 1968.
|
| [24] | Belytschko T, Liu W K, Moran B. Nonlinear finite elements for continua and structures [M]. New York： John Wiley & Sons, 2000.
|
| [25] | Wen Y K. Method for random vibration of hysterestic systems [J]. Journal of the Engineering Mechanics Division, 1976, 102(2): 249―263.
|
| [26] | Wu J Y, Li J, Faria R. An energy release rate-based plastic-damage model for concrete [J]. International Journal of Solids and Structures, 2006, 43: 583―612.
|
| [27] | 李杰, 任晓丹. 混凝土静力与动力损伤本构模型研究进展述评[J]. 力学进展, 2010, 40(3): 284―297.
|
| [28] | Li Jie, Ren Xiaodan. A review on the constitutive model for static and dynamic damage of concrete [J]. Advances in Mechanics, 2010, 40(3): 284―297. (in Chinese)
|
| [29] | 李杰, 吴建营, 陈建兵. 混凝土随机损伤力学[M]. 北京: 科学出版社, 2014.
|
| [30] | Li Jie, Wu Jianying, Chen Jianbing. Stochastic damage mechanics of concrete structures [M]. Beijing: Science Press, 2014. (in Chinese)
|
| [31] | Wen Y K. Probabilistic aspects of earthquake engineering [M]//. Bozorgnia Y, Bertero V V. Earthquake Engineering: from Engineering Seismology to Performance-based Engineering, Part 7. CRC Press, Boca Raton, 2004: 7-1―7-40.
|
| [32] | GB50010-2010, 混凝土结构设计规范[S]. 北京: 中国建筑工业出版社, 2011.
|
| [33] | GB50010-2010, Design code for concrete structures [S]. Beijing: China Architecture & Building Press, 2011. (in Chinese)
|
| [34] | 何政, 李小明. FRP配筋混凝土结构可靠度设计[J]. 哈尔滨工业大学学报, 2008, 40(8): 1177―1183.
|
| [35] | He Zheng, Li Xiaoming. Reliability-based design for FRP-reinforced concrete members [J]. Journal of Harbin Institute of Technology, 2008, 40(8): 1177―1183. (in Chinese)
|
| [36] | Chen J B, Li J. Stochastic seismic response analysis of structures exhibiting high nonlinearity [J]. Computers & Structures, 2010, 88(7/8): 395―412.
|
| [37] | Li J, Chen J B, Sun W L, Peng Y B. Advances of probability density evolution method for nonlinear stochastic systems [J]. Probabilistic Engineering Mechanics, 2012, 28: 132―142.
|
| [38] | 方同. 工程随机振动[M]. 北京: 国防工业出版社, 1995.
|
| [39] | Fang Tong. Engineering random vibrations [M]. Beijing: National Defense Industry Press, 1995. (in Chinese)
|
| [40] | 林家浩, 张亚辉. 随机振动的虚拟激励法[M]. 北京: 科学出版社, 2004.
|
| [41] | Lin Jiahao, Zhang Yahui. The pseudo-excitation method in random vibrations [M]. Beijing: Science Press, 2004. (in Chinese)
|
| [42] | Li J, Yan Q, Chen J B. Stochastic modeling of engineering dynamic excitations for stochastic dynamics of structures [J]. Probabilistic Engineering Mechanics, 2012, 27(1): 19―28.
|
| [43] | 李杰. 工程结构随机动力激励的物理模型[C]// 李杰, 陈建兵. 随机振动理论与应用新进展. 上海: 同济大学出版社, 2009: 119―132.
|
| [44] | Li Jie. Physical models for stochastic dynamic excitations of engineering structures [C]// Li Jie, Chen Jianbing. New Advances in Theory and Applications of Random Vibrations. Shanghai: Tongji University Press, 2009: 119―132. (in Chinese)
|
| [45] | Boore D M, Atkinson G M. Stochastic prediction of ground motion and spectral response parameters at hard-rock sites in eastern North America [J]. Bulletin of Seismological Society of America, 1986, 77(2): 440―467.
|
| [46] | Wang D, Li J. Physical random function model of ground motions for engineering purposes [J]. Science China: Technological Sciences, 2011, 54(1): 175―182.
|
| [47] | 王鼎, 李杰. 工程场地地震动随机场的物理模型[J]. 中国科学: 技术科学, 2012, 42(7): 798―807.
|
| [48] | Wang Ding, Li Jie. Physical model for random ground motion field of engineering sites [J]. Science China: Technological Sciences, 2012, 42(7): 798―807. (in Chinese)
|
| [49] | Yan Q, Peng Y B, Li J. Scheme and application of phase delay spectrum towards spatial stochastic wind fields [J]. Wind and Structures, 2013, 16(5): 433―455.
|
| [50] | Clough R W, Penzien J. Dynamics of structures [M]. 2nd ed. McGraw-Hill College, 1993.
|
| [51] | Simiu E, Scanlan R H. Wind effects on structures: Fundamentals and applications to design [M]. John Wiley & Sons, 1996.
|
| [52] | Goda Y. Random Seas and design of maritime structures [M]. 3rd ed. World Scientific, 2010.
|
| [53] | Loève M. Probability theory [M]. Berlin: Springer-Verlag, 1977.
|
| [54] | Shinozuka M, Deodatis G. Simulation of stochastic processes by spectral representation [J]. Applied Mechanics Review, 1991, 44(4): 191―204.
|
| [55] | Hua Luo-Keng, Wang Yuan. Applications of number theory to numerical analysis [M]. Springer, Berlin, 1981.
|
| [56] | Chen J B, Zhang S H. Improving point selection in cubature by a new discrepancy [J]. SIAM Journal on Scientific Computing, 2013, 35(5): A2121―A2149.
|
| [57] | 陈建兵, 张圣涵. 非均布随机参数结构非线性响应概率密度演化[J]. 力学学报, 2014, 46(1): 136―144.
|
| [58] | Chen Jianbing, Zhang Shenghan. Probability density evolution analysis of nonlinear response of structures with non-uniform random parameters [J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(1): 136―144. (in Chinese)
|
| [59] | Goller B, Pradlwarter H J, Schuëller G I. Reliability assessment in structural dynamics [J]. Journal of Sound and Vibration, 2013, 332(10): 2488―2499.
|
| [60] | Pandey M D, Zhang X F. System reliability analysis of the robotic manipulator with random joint clearances [J]. Mechanism and Machine Theory, 2012, 58: 137―152.
|
| [61] | Cui L J, Lu Z Z, Wang Q. Parametric sensitivity analysis of the importance measure [J]. Mechanical Systems and Signal Processing, 2012, 28: 482―491.
|
| [62] | Ou Jinping, Wang Guangyuan. Random vibrations of structures [M]. Beijing: Higher Education Press, 1998. (in Chinese)
|
| [63] | Sun J Q. Stochastic dynamics and control [M]. Elsevier, 2006.
|
| [64] | 朱位秋. 随机振动[M]. 北京: 科学出版社, 1992.
|
| [65] | Zhu Weiqiu. Random vibration [M]. Beijing: Science Press, 1992. (in Chinese)
|
| [66] | Zhu W Q. Nonlinear stochastic dynamics and control in Hamiltonian formulation [J]. Applied Mechanics Reviews, 2006, 59(4): 230―248.
|
| [67] | 黄志龙, 金肖玲. 多自由度强非线性随机系统非能量依赖的精确平稳解[J]. 中国科学E辑: 技术科学, 2009, 39(5): 927―933.
|
| [68] | Huang Zhilong, Jin Xiaoling. Non-energy-dependent exact stationary solution of MDOF strongly nonlinear systems [J]. Scientia Sinica Technologica, 2009, 39(5): 927―933. (in Chinese)
|
| [69] | 徐伟. 非线性随机动力学的若干数值方法及应用[M]. 北京: 科学出版社, 2013.
|
| [70] | Xu Wei. Numerical analysis methods for stochastic dynamical system [M]. Beijing: Science Press, 2013. (in Chinese)
|
| [71] | Spanos P D, Beer M, Red-Horse J. Karhunen-Loéve expansion of stochastic processes with a modified exponential covariance kernel [J]. Journal of Engineering Mechanics, 2007, 133(7): 773―779.
|
| [72] | Liu Z J, Chen J B, Li J. Orthogonal expansion of Gaussian wind velocity field and PDEM-based vibration analysis of wind-excited structures [J]. Journal of Wind Engineering and Industrial Aerodynamics, 2011, 99(1): 1207―1220.
|
| [73] | Chen J B, Li J. Optimal determination of frequencies in the spectral representation of stochastic processes [J]. Computational Mechanics, 2013, 51(5): 791―806.
|
| [74] | Chen J B, Sun W L, Li J, Xu J. Stochastic harmonic function representation of stochastic processes [J]. Journal of Applied Mechanics, 2013, 80(1): 011001-1―011001-11.
|
| [75] | Li J, Chen J B. The principle of preservation of probability and the generalized density evolution equation [J]. Structural Safety, 2008, 30(1): 65―77.
|
| [76] | 苏成, 徐瑞. 非平稳地震作用下随机结构动力可靠度计算[J]. 振动工程学报, 2011, 24(2): 118―124.
|
| [77] | Su Cheng, Xu Rui. Dynamic reliability analysis of stochastic structures subjected to non-stationary seismic excitations [J]. Journal of Vibration Engineering, 2011, 24(2): 118―124. (in Chinese)
|
| [78] | 吕大刚, 贾明明. 钢框架结构基于变形可靠度的全概率抗震设计[J]. 工程力学, 2011, 28(5): 117―123.
|
| [79] | Lü Dagang, Jia Mingming. Full probability aseismic design of steel frame structures based on deformation reliability [J]. Engineering Mechanics, 2011, 28(5): 117―123. (in Chinese)
|
| [80] | Vanmarcke E H. Random fields [M]. Singapore: World Scientific, 2010.
|
| [81] | 刘章军, 陈建兵. 结构动力学[M]. 北京: 中国水利水电出版社, 2012.
|
| [82] | Liu Zhangjun, Chen Jianbing. Dynamics of structures [M]. Beijing: China Water Power Press, 2012. (in Chinese)
|
| [83] | He J, Zhao Y G. First passage times of stationary non-Gaussian structural response [J]. Computers & Structures, 2007, 85(7/8): 431―436.
|
| [84] | Chen J B, Li J. Dynamic response and reliability analysis of nonlinear stochastic structures [J]. Probabilistic Engineering Mechanics, 2005, 20(1): 33―44.
|
| [85] | Chen J B, Li J. The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters [J]. Structural Safety, 2007, 29(2): 77―93.
|
| [86] | Thoft-Christensen P, Murotsu Y. Application of structural systems reliability theory [M]. Springer- Verlag, 1986.
|
| [87] | Chen J B, Li J. Development-process-of-nonlinearity- based reliability evaluation of structures [J]. Probabilistic Engineering Mechanics, 2007, 22(3): 267―275.
|
| [88] | Zhao Y G, Ono T, Idota H. Response uncertainty and time-variant reliability analysis for hysteretic MDF structures [J]. Earthquake Engineering and Structural Dynamics, 1999, 28(10): 1187―1213.
|
| [89] | Zhao Y G, Lu Z H. Fourth moment standardization for structural reliability assessment [J]. Journal of Structural Engineering, 2007, 133(7): 916―924.
|
| [90] | Zhao Y G, Ang A H-S. System reliability assessment by method of moments [J]. Journal of Structural Engineering, 2010, 129(10): 1341―1349
|
| [91] | Li J, Chen J B, Fan W L. The equivalent extreme-value event and evaluation of the structural system reliability [J]. Structural Safety, 2007, 29(2): 112―131.
|
| [92] | Xu J, Chen J B, Li J. Probability density evolution analysis of engineering structures via cubature points [J]. Computational Mechanics, 2012, 50(1): 135―156.
|
| [93] | Smolyak S. Quadrature and interpolation formulas for tensor products of certain classes of functions [J]. Soviet Math. Dokl, 1963, 4: 240―243.
|
| [94] | Genz A. Fully symmetric interpolatory rules for multiple integrals [J]. SIAM J. Numer. Anal, 1986, 23(6): 1273―1283.
|
| [95] | Victoir V. Asymmetric cubature formulae with few points in high dimension for symmetric measures [J]. SIAM J. Numer, 2004, 42(1): 209―227.
|
| [96] | Glasserman P. Monte Carlo methods in financial engineering [M]. Springer, 2004.
|
| [97] | 华罗庚, 王元. 数论在近似分析中的应用[M]. 北京: 科学出版社, 1978.
|
