An improved separation-of-variable method for the free vibration of orthotropic rectangular thin plates

2020 ◽  
Vol 252 ◽  
pp. 112664
Author(s):  
Yufeng Xing ◽  
Zekun Wang
Keyword(s):  
Free Vibration ◽  
Variable Method ◽  
Thin Plates ◽  
Separation Of Variable

New analytic free vibration solutions of rectangular thin plates resting on multiple point supports

2016 ◽  
Vol 110 ◽  
pp. 53-61 ◽  
Author(s):  
Rui Li ◽  
Yu Tian ◽  
Pengcheng Wang ◽  
Yunfeng Shi ◽  
Bo Wang
Keyword(s):  
Free Vibration ◽  
Thin Plates ◽  
Multiple Point

scholarly journals Green’s function approach to frequency analysis of thin circular plates

2016 ◽  
Vol 64 (1) ◽  
pp. 181-188
Author(s):  
K.K. Żur
Keyword(s):  
Power Series ◽  
Free Vibration ◽  
Influence Function ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Thin Plates ◽  
Circular Plates ◽  
Natural Modes ◽  
Good Agreement ◽  
Analytical Frequency

Abstract The free vibration analysis of homogeneous and isotropic circular thin plates by using the Green’s functions is considered. The formulae for construction of the influence function for all nodal diameters are presented in a closed form. The limited independent solutions of differential Euler equations were expanded in the Neumann power series using the method of successive approximation. This approach allows to obtain the analytical frequency equations as power series rapidly convergent to exact eigenvalues for different number of nodal diameters. The first ten dimensionless frequencies for eight different natural modes of circular plates are calculated. A part of obtained results have not been presented yet in open literature for thin circular plates. The results of investigation are in good agreement with selected results obtained by other methods presented in literature.

Sign in / Sign up

Export Citation Format

Share Document