Axisymmetric vibration analysis of isotropic circular plate with attached annular piezoceramic plate

2012 ◽  
Vol 8 (4) ◽  
pp. 302 ◽  
Author(s):  
Syed Noh Syed Abu Bakar ◽  
Mostafa M. Abdalla ◽  
Waleed F. Faris ◽  
Sany Izan Ihsan
Keyword(s):  
Circular Plate ◽  
Vibration Analysis ◽  
Axisymmetric Vibration ◽  
Piezoceramic Plate

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.

A simplified plate theory for vibration analysis of composite laminated sector, annular and circular plate

2019 ◽  
Vol 143 ◽  
pp. 106252 ◽  
Author(s):  
Hong Zhang ◽  
Rupeng Zhu ◽  
Dongyan Shi ◽  
Qingshan Wang
Keyword(s):  
Circular Plate ◽  
Vibration Analysis ◽  
Plate Theory

scholarly journals Axisymmetric Vibration for Micropolar Porous Thermoelastic Circular Plate

2017 ◽  
Vol 22 (3) ◽  
pp. 583-600 ◽  
Author(s):  
R. Kumar ◽  
P. Kaushal ◽  
R. Sharma
Keyword(s):  
Circular Plate ◽  
Axisymmetric Problem ◽  
Volume Fraction ◽  
Hankel Transform ◽  
Specific Model ◽  
Axisymmetric Vibration ◽  
Physical Domain ◽  
Special Cases ◽  
Eigen Value ◽  
Field Temperature

AbstractThe present investigation is concerned with a two dimensional axisymmetric problem in a homogeneous isotropic micropolar porous thermoelastic circular plate by using the eigen value approach. The Laplace and Hankel transform are used to solve the problem. The expression of displacements, microrotation, volume fraction field, temperature distribution and stresses are obtained in the transformed domain subjected to thermomechanical sources. A computer algorithm is developed for numerical computations. To obtain the resulting quantities in a physical domain, a numerical inversion technique is used. The resulting quantities are depicted graphically for a specific model. Some special cases are also deduced.

Sign in / Sign up

Export Citation Format

Share Document