asymptotic splitting
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scholarly journals Analytic solutions for free vibration analysis of laminated beams in three-dimensional statement

2019 ◽  
Vol 221 ◽  
pp. 01012 ◽  
Author(s):  
Sergey Golushko ◽  
Gleb Gorynin ◽  
Arseniy Gorynin
Keyword(s):  
Splitting Method ◽  
Three Dimensional ◽  
Free Vibration Analysis ◽  
Beam Theory ◽  
Analytic Solutions ◽  
Free Vibrations ◽  
Theory Of Elasticity ◽  
Laminated Beams ◽  
Asymptotic Splitting ◽  
Euler Bernoulli Beam

In this research we consider free vibrations of laminated beams in terms of three-dimensional linear theory of elasticity. Analytic solutions for natural frequencies of laminated beams are obtained by using an asymptotic splitting method. The results were compared with classical Euler“Bernoulli beam theory and Timoshenko beam theory.

scholarly journals Validation of Bredt's formulas by the method of asymptotic splitting

PAMM ◽  
2018 ◽  
Vol 18 (1) ◽  
Author(s):  
Christian Schmidrathner
Keyword(s):  
Asymptotic Splitting

scholarly journals A note on asymptotic splitting and its applications

1994 ◽  
Vol 20 (12) ◽  
pp. 45-58 ◽  
Author(s):  
Q. Sheng ◽  
R.P. Agarwal
Keyword(s):  
Asymptotic Splitting
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