Application of operational method to develop dynamic stiffness matrix for vibration analysis of thin beams

2020 ◽  
Vol 224 ◽  
pp. 111244
Author(s):  
Mohammad M. Elahi ◽  
Seyed M. Hashemi
Keyword(s):  
Stiffness Matrix ◽  
Vibration Analysis ◽  
Dynamic Stiffness ◽  
Operational Method ◽  
Dynamic Stiffness Matrix ◽  
Thin Beams

COUPLED FREE VIBRATION ANALYSIS OF SHEAR-FLEXIBLE LAMINATED COMPOSITE I-BEAMS

2013 ◽  
Vol 21 (01) ◽  
pp. 1250024
Author(s):  
NAM-IL KIM
Keyword(s):  
Free Vibration ◽  
Shear Deformation ◽  
Stiffness Matrix ◽  
Vibration Analysis ◽  
Dynamic Stiffness ◽  
Equations Of Motion ◽  
Laminated Composite ◽  
Free Vibration Analysis ◽  
Dynamic Stiffness Matrix ◽  
Analytical Technique

The coupled free vibration analysis of the thin-walled laminated composite I-beams with bisymmetric and monosymmetric cross sections considering shear effects is developed. The laminated composite beam takes into account the transverse shear and the restrained warping induced shear deformation based on the first-order shear deformation beam theory. The analytical technique is used to derive the constitutive equations and the equations of motion of the beam in a systematic manner considering all deformations and their mutual couplings. The explicit expressions for displacement parameters are presented by applying the power series expansions of displacement components to simultaneous ordinary differential equations. Finally, the dynamic stiffness matrix is determined using the force–displacement relationships. In addition, for comparison, a finite beam element with two-nodes and fourteen-degrees-of-freedom is presented to solve the equations of motion. The performance of the dynamic stiffness matrix developed by study is tested through the solutions of numerical examples and the obtained results are compared with results available in literature and the detailed three-dimensional analysis results using the shell elements of ABAQUS. The vibrational behavior and the effect of shear deformation are investigated with respect to the modulus ratios and the fiber angle change.

scholarly journals Vibration Analysis of Axially Moving Saw Wire Using Dynamic Stiffness Matrix Method

2003 ◽  
Vol 69 (686) ◽  
pp. 2627-2632
Author(s):  
Kimihiko NAKANO ◽  
Kenichi IKOMA ◽  
Atsushi SAKUMA ◽  
Takashi SAITO ◽  
Shunichi KAWANO ◽  
...  
Keyword(s):  
Stiffness Matrix ◽  
Matrix Method ◽  
Vibration Analysis ◽  
Dynamic Stiffness ◽  
Dynamic Stiffness Matrix ◽  
Axially Moving
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