Dynamic stiffness analysis of laminated composite beams using trigonometric shear deformation theory

2009 ◽  
Vol 89 (3) ◽  
pp. 433-442 ◽  
Author(s):  
Li Jun ◽  
Hua Hongxing
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Dynamic Stiffness ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Composite Beams ◽  
Stiffness Analysis ◽  
Laminated Composite Beams

Dynamic Stiffness Analysis of a Beam Based on Trigonometric Shear Deformation Theory

2007 ◽  
Vol 130 (1) ◽  
Author(s):  
Jun Li ◽  
Hongxing Hua ◽  
Rongying Shen
Keyword(s):  
Shear Deformation ◽  
Stiffness Matrix ◽  
Deformation Theory ◽  
Dynamic Stiffness ◽  
Equations Of Motion ◽  
Shear Deformation Theory ◽  
Beam Element ◽  
Mode Shapes ◽  
Dynamic Stiffness Matrix ◽  
Stiffness Analysis

The dynamic stiffness matrix of a uniform isotropic beam element based on trigonometric shear deformation theory is developed in this paper. The theoretical expressions for the dynamic stiffness matrix elements are found directly, in an exact sense, by solving the governing differential equations of motion that describe the deformations of the beam element according to the trigonometric shear deformation theory, which include the sinusoidal variation of the axial displacement over the cross section of the beam. The application of the dynamic stiffness matrix to calculate the natural frequencies and normal mode shapes of two rectangular beams is discussed. The numerical results obtained are compared to the available solutions wherever possible and validate the accuracy and efficiency of the present approach.

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