[1] Su X Y,Pao Y H. Ray-normal mode and hybrid analysis of transient waves in a finite beam[J].Journal of Sound and Vibration, 1992,151(2) :351-368.
[2] Boley B A,Chao C C. Some solutions of the Timoshenko beam equations[J]. Journal of Applied Mechanics, 1955,22(3): 579-586.
[3] Miklowitz J, Calif P. Flexural wave solutions of coupled equations representing the more exact theory of beams[J]. Journal of Applied Mechanics ,1953,20(3) :511-514.
[4] Anderson R A,Calif P. Flexural vibrations in uniform beams according to the Timoshenko theory[J]. Journal of Applied Mechanics, 1953,20(3) :504-510.
[5] Huang T C. The effect of rotary inertia and of shear deformation on the frequency and normal mode equations of uniform beams with simple end conditions[J]. Journal of Applied Mechanics, 1961,28(3) :579-584.
[6] XING Yu-feng. The characteristics of Timoshenko beam during the process of elastic impact and contact[J]. Acta Mechanics Sinica, 1999,31(1): 67-74.(in Chinese) |