Citation: | GAO Shi-qiao, JIN Lei, M. Kasperski, LIU Hai-peng, LI Ming-hui. Nonlinear Analysis of a Structure Loaded by a Stochastic Excitation[J]. Applied Mathematics and Mechanics, 2007, 28(11): 1318-1324. |
[1] |
Sobczyk K.Stochastic analysis of one-dimensional nonlinear wave processes[A].In: Ziegler F, Schueller G I Eds.Proc IUTAM Symp in Innsbruck. Nonlinear Stochastic Dynamic Engineering Systems[C].Austria:Springer-Verlag, 1988, 313-320.
|
[2] |
Gao S Q, Niemann H J.A method of iteration linearization to solve the nonlinear stochastic vibration problems[J].Comm in Num Meth in Engng,1994,10(1):67-72. doi: 10.1002/cnm.1640100108
|
[3] |
高世桥, 金磊, H J 尼曼,等.考虑旋转壳几何非线性时的随机响应研究[J].应用数学和力学,2001,22(11):1142-1146.
|
[4] |
Neild S A, Mcfadden P D,Williams M S.A review of time-frequency methods for structural vibration analysis[J].Engng Struct,2003,25(6):713-728. doi: 10.1016/S0141-0296(02)00194-3
|
[5] |
Cohen L. Time-frequency distributions—a review[J].Proceedings of the IEEE,1989,77(7):941-981. doi: 10.1109/5.30749
|
[6] |
Owen J S, Eccles B J,Choo B S,et al.The application of auto-regressive time series modeling for the time-frequency analysis of civil engineering structures[J].Engng Struct,2001,23(5):521-536. doi: 10.1016/S0141-0296(00)00059-6
|
[7] |
Gurley K, Kareem A. Applications of wavelet transforms in earthquake, wind and ocean engineering[J].Engng Struct,1999,21(2):149-167. doi: 10.1016/S0141-0296(97)00139-9
|
[8] |
Seidel D K, Davies P. Modeling nonlinear system by using autoregressive moving average models[J].Proceedings of the IEEE,1990,78(10): 2559-2562.
|
[1] | WANG Chunsheng. Stability of Neutral Volterra Stochastic Dynamical Systems With Multiple Delays[J]. Applied Mathematics and Mechanics, 2021, 42(11): 1190-1202. doi: 10.21656/1000-0887.410323 |
[2] | XU Xiao-ming, ZHONG Wan-xie. Nonlinear Numerical Simulation of Rotor Dynamics[J]. Applied Mathematics and Mechanics, 2015, 36(7): 677-685. doi: 10.3879/j.issn.1000-0887.2015.07.001 |
[3] | ZOU Li, ZONG Zhi, WANG Zhen, ZHAO Yong, LIANG Hui. Analytical Solutions of Periodic Stationary Internal Waves in Infinitely Deep Water With Exponential Vertical Density Distribution[J]. Applied Mathematics and Mechanics, 2015, 36(1): 99-109. doi: 10.3879/j.issn.1000-0887.2015.01.009 |
[4] | LUO Li-ping, YU Yuan-hong, ZENG Yun-hui. New Criteria for Oscillation of Third Order Nonlinear Delay Differential Equations[J]. Applied Mathematics and Mechanics, 2013, 34(9): 941-947. doi: 10.3879/j.issn.1000-0887.2013.09.007 |
[5] | ZHOU Xing-de, CHEN Dao-zheng. Active Vibration Control of Nonlinear Benchmark Buildings[J]. Applied Mathematics and Mechanics, 2007, 28(4): 441-446. |
[6] | YUAN Yi-rang, DU Ning, WANG Wen-qia, HAN Yu-ji, YANG Cheng-shun. Numerical Method and Application for the Three-Dimensional Nonlinear System of Dynamics of Fluids in Porous Media[J]. Applied Mathematics and Mechanics, 2006, 27(11): 1319-1328. |
[7] | ZHOU Ping, WU Cheng-wei, MA Guo-jun. Squeeze Film Flow With Nonlinear Boundary Slip[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1129-1134. |
[8] | WANG Zhong-gang, CHENG Hua, DENG Hong-zhou. Path Integral Solution of the Nonlinear Dynamic Behavior of Structure Under Wind Excitation[J]. Applied Mathematics and Mechanics, 2005, 26(10): 1183-1190. |
[9] | LIU Chang-hong, CHEN Qiu. Interval Analysis of the Fuzzy-Random Heat Conduction in the Composite Tubes[J]. Applied Mathematics and Mechanics, 2005, 26(10): 1191-1197. |
[10] | MA Jian-wei, YANG Hui-zhu. Multiresolution Symplectic Scheme for Wave Propagation in Complex Media[J]. Applied Mathematics and Mechanics, 2004, 25(5): 523-528. |
[11] | JIAN Yong-jun, E Xue-quan, BAI Wei. Nonlinear Faraday Waves in a Parametrically Excited Circular Cylindrical Container[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1057-1068. |
[12] | LIU Hai-feng, ZHOU Wei-xing, WANG Fu-chen, GONG Xin, YU Zun-hong. The Wavelet Transform of Periodic Function and Nonstationary Periodic Function[J]. Applied Mathematics and Mechanics, 2002, 23(9): 943-950. |
[13] | GAO Shi-qiao, JIN Lei, Niemann H J, LIU Hai-peng. Investigation of Random Response of Rotational Shell When Considering Geometric Nonlinear Behaviour[J]. Applied Mathematics and Mechanics, 2001, 22(11): 1142-1146. |
[14] | WANG Guo-yan, DAI Min. Equivalent Linearization Method Based on Energy-to-cth-Power Difference Criterion in Nonlinear Stochastic Vibration Analysis of Multi-Degree-of-Freedom Systems[J]. Applied Mathematics and Mechanics, 2001, 22(8): 845-852. |
[15] | Li Yue, Li Lixi, Wu Xuemou. Pansystems Methodology and Construction of Magic Squares[J]. Applied Mathematics and Mechanics, 2000, 21(7): 675-678. |
[16] | Liu Bin, Dong Qinxi. Wavelet Modeling and Forecasting and Its Application in the Chinese Monetary Multiplier[J]. Applied Mathematics and Mechanics, 1999, 20(8): 856-862. |
[17] | Zheng Jibing, Gao Hangshan, Guo Yinchao, Meng Guang. Application of Wavelet Transform to Bifurcation and Chaos Study[J]. Applied Mathematics and Mechanics, 1998, 19(6): 556-563. |
[18] | Luo Shaoming, Zhang Xiangwei. The Wavelet Aanalysis Method of Stationary Random Processes[J]. Applied Mathematics and Mechanics, 1998, 19(10): 859-864. |
[19] | Guo Xingming. The Existence of Solutions in Nonlinear Elastodynamics[J]. Applied Mathematics and Mechanics, 1997, 18(3): 223-229. |
[20] | Sun Pizhong, Tang Qiangang, Sun Shixian. Nonlinear Oscillation Analysis by an Orthogonal Function Method[J]. Applied Mathematics and Mechanics, 1995, 16(7): 653-661. |