鲍四元, 邓子辰. 哈密顿体系下矩形薄板自由振动的一般解[J]. 动力学与控制学报, 2005, 3(2): 10-15. Bao Siyuan, Deng Zichen. A general solution of free vibration for rectangular thin plates in Hamilton Systems [J]. Journal of Dynamics and Control, 2005, 3(2): 10-15. (in Chinese)
[2]
Xing Y F, Liu B. New exact solution for free vibrations of rectangular thin plates by symplectic method [J]. Acta Mechanica Sinica, 2009, 51(3): 246-255.
[3]
Xing Y F, Liu B. New exact solutions for free vibrations of thin orthotropic rectangular plates [J]. Composite Structures, 2009, 89: 567-574.
[4]
Xing Y F, Liu B. Exact solutions for free in-plane vibrations of rectangular plates [J]. International Journal of Mechanical Sciences, 2009, 51: 246-255.
[5]
Liu B, Xing Y F. Comprehensive exact solutions for free in-plane vibrations of orthotropic rectangular plates [J]. European Journal of Mechanics A/Solids, 2011, 30: 383-395.
[6]
Xing Y F, Liu B. Closed form solutions for free vibrations of rectangular Mindlin plates [J]. Acta Mechanica Sinica, 2009, 25: 689-698.
[7]
Liu B, Xing Y F. Exact solutions for free vibrations of orthotropic rectangular Mindlin plates [J]. Composite Structures, 2011, 93: 1664-1672.
[8]
Liu B, Xing Y F, Qatu M S, Ferreira A J M. Exact characteristic equations for free vibrations of thin orthotropic circular cylindrical shells [J]. Composite Structures, 2012, 94: 484-493.
[9]
钟阳, 孙爱民, 刘文光. 弹性地基上四边自由矩形薄板的自由振动[J]. 振动工程学报, 2006, 19(4): 566-570. Zhong Yang, Sun Aimin, Liu Wenguang. Free vibration of rectangular thin plate on elastic foundation with four edges free [J]. Journal of Vibration Engineering, 2006, 19(4): 566-570. (in Chinese)
[10]
贺晓兰, 常海玉. 弹性地基上周边自由板振动问题的加权残值法[J]. 陕西建筑, 2001(2): 27-30. He Xiaolan, Chang Haiyu. Free vibration of rectangular thin plate on elastic foundation with four edges free by Mathod weighted residual [J]. Shaan Xi Architecture, 2001(2): 27-30. (in Chinese)
[11]
李善倾, 袁鸿. Winkler地基上固支薄板自由振动问题的准Green函数方法[J]. 应用数学与力学, 2011, 32(3): 253-262. Li Shanqing, Yuan Hong. Quasi-green’s function method for free vibration of clamped thin plates on Winkler foundation [J]. Applied Mathematics and Mechanics, 2011, 32(3): 253-262. (in Chinese)
Graff K F. Wave motion in elastic solids [M]. Oxford: Clarendon Press, 1975: 431-575.
[14]
Gorman D J. Accurate free vibration analysis of the orthotropic cantilever plate [J]. Journal of Sound and Vibration, 1995, 181(4): 605-618.
[15]
Gorman D J. Highly accurate free vibration eigenvalues for the completely free orthotropic plate [J]. Journal of Sound and Vibration, 2005, 280: 1095-1115.
[16]
钟阳, 张永山. 四边固支弹性矩形薄板的自由振动[J]. 动力学与控制学报, 2005, 3(2): 66-69. Zhong Yang, Zhang Yongshan. Free vibration of rectangular thin plate with completed clamped supported [J]. Journal of Dynamics and Control, 2005, 3(2): 66-69. (in Chinese)