Axisymmetric vibration analysis of rotating annular plates by a 3D finite element

2000 ◽  
Vol 37 (41) ◽  
pp. 5813-5827 ◽  
Author(s):  
Chorng-Fuh Liu ◽  
Ju-Feng Lee ◽  
Ying-Te Lee
Keyword(s):  
Finite Element ◽  
Vibration Analysis ◽  
Axisymmetric Vibration ◽  
3D Finite Element ◽  
Annular Plates

scholarly journals Green’s Function In Free Axisymmetric Vibration Analysis Of Annular Thin Plates With Different Boundary Conditions

2015 ◽  
Vol 20 (4) ◽  
pp. 939-951
Author(s):  
K.K. Żur
Keyword(s):  
Power Series ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Thin Plates ◽  
Successive Approximations ◽  
Method Of Successive Approximations ◽  
Axisymmetric Vibration ◽  
Annular Plates ◽  
The Core ◽  
Analytical Frequency

Abstract Free vibration analysis of homogeneous and isotropic annular thin plates by using Green’s functions is considered. The formula of the influence function for uniform thin circular and annular plates is presented in closed-form. The limited independent solutions of differential Euler equation were expanded in the Neumann power series based on properties of integral equations. The analytical frequency equations as power series were obtained using the method of successive approximations. The natural axisymmetric frequencies for singularities when the core radius approaches zero are calculated. The results are compared with selected results presented in the literature.

Sign in / Sign up

Export Citation Format

Share Document