Tang Y Q, Chen L Q, Yang X D. Natural frequencies modes and critical speeds of axially moving Timoshenko beams with different boundary conditions [J]. International Journal of Mechanical Sciences, 2008, 50: 1448―1458.
[2]
邱吉宝, 向树红, 张正平. 计算结构动力学[M]. 合肥: 中国科学技术大学出版社, 2009: 31―33. Qiu Jibao, Xiang Shuhong, Zhang Zhengping. Computational structure dynamics [M]. Hefei: University of Science and Technology Press, 2009: 31―33. (in Chinese)
[3]
Sung K J, Charles W B. Alfred G S. Application of differential quadrature to static analysis of structural components [J]. International Journal of Numerical Methods in Engineering, 1989, 28: 561―577.
[4]
Quan J R, Chang C T. New insights in solving distributed system equations by the Quadrature Method-I: Analysis [J]. Computers and Chemical Engineering, 1989, 13(7): 779―788.
[5]
Bokaian A. Natural frequencies of beams under compressive axial loads [J]. Journal of Sound and Vibration, 1988, 126(1): 49―65.
[6]
Bokaian A. Natural frequencies of beams under tensile axial loads [J]. Journal of Sound and Vibration, 1990, 142(3): 481―498.
[7]
Zhang Y Q, Lu Y, Ma G W. Effect of compressive axial load on forced transverse vibrations of a double-beam system [J]. International Journal of Mechanical Sciences, 2008, 50: 299―305.
[8]
Christian N D, Shu D W. Free vibration analysis of multiple delaminated beams under axial compressive load [J]. Journal of Reinforced Plastics and Composites, 2009, 28(11): 1365―1381.
[9]
Pourtakdoust S H, Assadian N. Investigation of thrust effect on the vibrational characteristics of flexible guided missiles [J]. Journal of Sound and Vibration, 2004, 272: 287―299.
[10]
Wickert J A. Non-linear vibration of a traveling tensioned beam [J]. International Journal of Non-Linear Mechanics, 1992, 27(3): 503―517.
[11]
Öz H R, Pakdemirli M, Boyacm H. Non-linear vibrations and stability of an axially moving beam with time-dependent velocity [J]. International Journal of Non-Linear Mechanics, 2001, 36: 107―115.
[12]
李成, 姚林泉. 轴向运动超薄梁的非局部动力学分析[J]. 工程力学, 2013, 30(4): 366―372. Li Cheng, Yao Linquan. Nonlocal dynamical analysis on axially travelling ultra-thin beam [J]. Engineering Mechanics, 2013, 30(4): 366―372. (in Chinese)
[13]
李晓军, 陈立群. 关于两端固定轴向运动梁的横向振动[J]. 振动与冲击, 2005, 24(1): 22―24. Li Xiaojun, Chen Liqun. On transverse vibrations of an axially moving beam on fixed supports [J]. Journal of Vibration and Shock, 2005, 24(1): 22―24. (in Chinese)
[14]
罗炳华, 高跃飞, 刘荣华, 等. 轴向运动梁受移动载荷作用的横向动力响应[J]. 振动与冲击, 2011, 30(12): 59―63. Luo Binghua, Gao Yuefei, Liu Ronghua, et al. Lateral dynamic response of an axially moving beam under a moving load [J]. Journal of Vibration and Shock, 2011, 30(12): 59―63. (in Chinese)
[15]
Liu X Q, Ertekin R C. Vibration of a free-free beam under Tensile axial loads [J]. Journal of Sound and Vibration, 1996, 190(2): 273―282.
[16]
Wang L, Chen H H, He X D. Modal frequency characteristics of axially moving beam with Supersonic/ Hypersonic speed [J]. Transactions of Nanjing University of Aeronautics & Astronautics, 2011, 28(2): 163―168.
[17]
杨晓东, 唐有绮. Timoshenko模型轴向运动梁的横向振动特性分析[J]. 机械强度, 2008, 30(6): 903―906. Yang Xiaodong, Tang Youqi. Dynamics of transverse vibrations of axially moving beam for Timoshenko model [J]. Journal of Mechanical Strength, 2008, 30(6): 903―906. (in Chinese)
