A pseudo-complementary finite element approach for the vibration analysis of thin plates in bending

1985 ◽  
Vol 51 (3) ◽  
pp. 69-78
Author(s):  
Dimitrios Karamanlidis
Keyword(s):  
Finite Element ◽  
Vibration Analysis ◽  
Thin Plates ◽  
Finite Element Approach ◽  
Element Approach

Vibration Analysis of a Cantilevered Beam with Spring Loading at the Tip as a Generic Elastic Structure

2014 ◽  
Vol 629 ◽  
pp. 407-413 ◽  
Author(s):  
Mohammad Jafari ◽  
Harijono Djojodihardjo ◽  
Kamarul Arifin Ahmad
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Vibration Analysis ◽  
Equation Of Motion ◽  
Bernoulli Beam ◽  
Fundamental Vibration ◽  
Finite Element Approach ◽  
Cantilevered Beam ◽  
Element Approach ◽  
Euler Bernoulli Beam

Although fundamental, vibration of a cantilevered Euler-Bernoulli beam with spring attached at the tip is not found in literatures and is here solved analytically and numerically using finite element approach. The equation of motion of the beam is obtained by using Hamilton’s principle. Finite element method is utilized to write in-house program for the free vibration of the beam. Results show plausible agreements.

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