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力学学报  1998 

THE INHERENT VIBRATION CHARACTERISTICS OF COMPOSITE LAMINATED BEAMS AND ELASTIC BEAMS 1)
复合材料叠层梁和金属梁的固有振动特性

Keywords: laminated beam,shear,natural mode of vibration,waves propagation
叠层梁
,剪切,固有振型,波传播,复合材料,金属梁

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Abstract:

In this Paper,according to Euler beam theory,Timoshenko beam theory and higher order beam theory,the inherent vibration characteristics of elastic beams are compared with that of composite laminated beams.The patterns of mode shapes are divided into two types,in one of the two types,the bending gradients are relatively more than the shear,in the other one,the shear gradients are more,and the latter type consists of several pure shear mode shapes.It is founded that many order frequencies and mode shapes related much to shear would not be obtained with the use of Timoshenko beam theory.On the basis of the above results,the applications of Euler beam theory,Timoshenko beam theory and beam theory based on warping corrections of shear deformation of cross sections to the analysis of elastic impact problems of beam structures are investigated and compared.Some conclusions are obtained that Euler beam theory can meet the requirements of impact analysis of practical beam structures when contact deformation is considered,and Timoshenko beam theory can meet the requirements of theoretical analysis of impact problems of beam structures,and beam theory based on warping corrections of shear deformation of cross sections by Zhu Dechao is essential to the static and dynamic analysis of composite laminated structures.However,according to the results obtained here,some causes why the delamination occurs and the intensity becomes lower greatly when the composite laminates are subjected to impact with lower velocity can be found out.

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