弹性地基上复合材料层合梁的自由振动
FREE VIBRATIONS OF COMPOSTE LAMINATED BEAMS ON ELASTIC FOUNDATIONS
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摘要: 本文在文[1]建立的层合梁理论的基础上,得到了弹性地基上层合梁的动力控制方程,并将此控制方程简化,获得了不考虑剪切变形时的弹性地基上层合梁经典理论的动力控制方程.利用这二种不同的控制方程,文中获得了层合梁自由振动问题的相应的精确解.由这二种不同的结果,讨论了剪切变形对层合梁固有频率的影响.Abstract: Based on the laminated beam theory established in ref.[1],the dynamic governing equations of laminated beams on elastic foundations obtained and simplified to give the dynamic governing equations which do not include transverse shear deformations.The corresponding exact solutions of free vibrating of laminated beams on elastic foundations are obtained by using these two different governing equations,and the effect of transverse shear deformations is also discussed on the characteristic frequency of laminated beams.
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