Singular Perturbation Method for Solving Non-linear Vibration of Inclined Cables

BENEDETINI F,REGA G,ALAGGIO R.Non-linear oscillations of a four-degree-of-freedom modal of a suspended cable under multiple internal resonance conditions[J]. Journal of Sound and Vibration,1995,23(182):755-798.[2] 蒋丽忠,赵跃宇,刘光栋.转动基中斜拉索的非线性动力学分析[J]. 计算力学学报,2003,20(1):85-89.JIANG Lizhong,ZHAO Yueyu,LIU Guangdong.Nonlinear vibration of a flexible cable in rotation base[J]. Chinese Journal of Computational Mechanics,2003,20(2):85-89.[3] 宋一凡,贺栓海.斜拉索动力计算长度研究[J]. 中国公路学报,2001,14(3):70-72.SONG Yifan,HE Shuanhai.Research on dynamic calculation length of cable in cable stayed bridges[J]. China Journal of Highway and Transport,2001,14(3):70-72.[4] HIRO S Z,TOHRU S K,YOSHIO N I.Practical formulas for estimation of cable tension by vibration method[J]. Journal of Structural Engineering,1996,122(6):651-656.[5] 张宏跃,田石柱.提高斜拉索索力估算精度的方法[J]. 地震工程与工程振动,2004,24(4):148-151.ZHANG Hongyue,TIAN Shizhu.A method to enhance the estimation accuracy of stay cable tension[J]. Earthquake Engineering and Engineering Vibration,2004,24(4):148-151.[6] 苏煜城,吴启光.奇异摄动问题的数值方法引论[M]. 重庆:重庆出版社,1991:10-27.