| Citation: | Yang Xiao-xian, Chen Qun-biao, Xi Hong-sheng. The Weak Damped Oscillation in a Random Medium[J]. Applied Mathematics and Mechanics, 1985, 6(5): 475-479.
|
| [1] |
Karal,F,C,and J.B,Keller,Elastic,electromagnetic and other waves in a random medium,J.Math.Phys.,5(1964),537-547.
|
| [2] |
Chen,K.K.and T,T.Soong,Covariance properties of waves propagating in a random medium,J.Acoust,Soc.Amer.,49(1971),1639-1642.
|
| [1] | BAO Liping, HONG Wenzhen. Singular Perturbation Solutions to 1D Stochastic Burgers Equations Under Weak Noises[J]. Applied Mathematics and Mechanics, 2018, 39(1): 113-122. doi: 10.21656/1000-0887.380068 |
| [2] | LI Ming-wu, ZHAO Yan, ZHONG Wan-xie. Dynamic Analysis of Linear Damped Systems With the Symplectic Eigenspace Expansion Method[J]. Applied Mathematics and Mechanics, 2015, 36(1): 1-15. doi: 10.3879/j.issn.1000-0887.2015.01.001 |
| [3] | FAN Yuan-qin, XU Wei, HAN Qun, YANG Yong-ge. Vibration Responses of Rubber Tires With Fractional Damping Under Stochastic Excitation[J]. Applied Mathematics and Mechanics, 2014, 35(12): 1330-1340. doi: 10.3879/j.issn.1000-0887.2014.12.005 |
| [4] | CAO Xiong-tao, ZHANG Zhi-yi, HUA Hong-xing. Free Vibration of Circular Cylindrical Shell With Constrained Layer Damping[J]. Applied Mathematics and Mechanics, 2011, 32(4): 470-482. doi: 10.3879/j.issn.1000-0887.2011.04.009 |
| [5] | MA Tian-wei. Almost Sure Stability Condition of Weakly Coupled Two-DOF Linear Nonautonomous Random Systems[J]. Applied Mathematics and Mechanics, 2010, 31(8): 986-991. doi: 10.3879/j.issn.1000-0887.2010.08.011 |
| [6] | JIAN Yong-jun, E Xue-quan, ZHANG Jie. Damping of Vertically Excited Surface Wave in a Weakly Viscous Fluid[J]. Applied Mathematics and Mechanics, 2006, 27(3): 372-378. |
| [7] | LUO Hui, ZHUANG Rong-kun, GUO Xing-ming. Oscillation Criteria for Second Order Nonlinear Differential Equation With Damping[J]. Applied Mathematics and Mechanics, 2005, 26(4): 403-410. |
| [8] | TIAN Li-xin, LIU Yu-rong, LIU Zeng-rong. Local Attractors for the Weakly Damped Forced KdV Equation in Thin 2D Domains[J]. Applied Mathematics and Mechanics, 2000, 21(10): 1021-1027. |
| [9] | TIAN Li-xin, CHU Zhi-jun, LIU Zeng-rong, JIANG Yong. Numerical Analysis of Longtime Dynamic Behavior in Weakly Damped Forced KdV Equation[J]. Applied Mathematics and Mechanics, 2000, 21(10): 1013-1020. |
| [10] | TIAN Li-xin, LIU Yu-rong, LIU Zeng-rong. The Research of Blow-up in 2D Weakly Damped Forced KdV Equation on Thin Domain[J]. Applied Mathematics and Mechanics, 2000, 21(10): 1002-1008. |
| [11] | Gao Jianxin, Shen Yapeng. Vibration and Damping Analysis of a Composite Plate With Active and Passive Damping Layer[J]. Applied Mathematics and Mechanics, 1999, 20(10): 1004-1014. |
| [12] | Lin Yurui, Tian Lixin, Liu Zengrong. The Wild Solutions of the Induced Form under the Spline Wavelet Basis in Weakly Damped Forced KdV Equation[J]. Applied Mathematics and Mechanics, 1998, 19(12): 1071-1076. |
| [13] | Ding Xieping, Wang Fan. Solutions for a System of Nonlinear Random Integral and Differential Equations under Weak Topology[J]. Applied Mathematics and Mechanics, 1997, 18(8): 669-684. |
| [14] | Dai Zheng-de, zhu zhi-we. The Inertial Fractal Set for Weakly Damped Forced Koreweg-de-Vries Equation[J]. Applied Mathematics and Mechanics, 1995, 16(1): 33-40. |
| [15] | Zhao Ya-pu, Hsueh Dah-wei. The Dynamic Plastic Behavior of a Simply Supported Circular Plate in a Damping Medium with Finite-Deflections[J]. Applied Mathematics and Mechanics, 1991, 12(10): 871-878. |
| [16] | Huo Lin-chun, Li Li. Extension of Poincare’s Nonlinear Oscillation Theory to Continuum Mechanics(I)-Basic Theory and Method[J]. Applied Mathematics and Mechanics, 1987, 8(1): 1-9. |
| [17] | Li Li, Huo Lin-chun. Extension of Poincare’s Nonlinear Oscillation Theory to Continuum Mechanics(Ⅱ)——Applications[J]. Applied Mathematics and Mechanics, 1987, 8(4): 303-316. |
| [18] | Hu Wen-rui. The Plane Piston Problem in a Weak Gravitational Field[J]. Applied Mathematics and Mechanics, 1985, 6(1): 75-85. |
| [19] | Gu Xiang-zhen, Zhao Yu-xiang, Chien Er-xuan. The Vibration Problem of Rod System in the Continuous Elastic Medium[J]. Applied Mathematics and Mechanics, 1984, 5(2): 217-228. |
| [20] | Chang Wen. The Forced Response of the Damping Dynamic Systems[J]. Applied Mathematics and Mechanics, 1980, 1(3): 407-416. |
Supported by: Beijing Renhe Information Technology Co. Ltd
Yang Xiao-xian, Chen Qun-biao, Xi Hong-sheng. The Weak Damped Oscillation in a Random Medium[J]. Applied Mathematics and Mechanics, 1985, 6(5): 475-479.
DownLoad: