Add to ORKGAbstract. We present a numerical procedure to solve the axisymmetric vibration problem of statically loaded annular plates. We use the von Kármán nonlinear plate model to account for large deformations and study the effect of static deflections on the natural frequencies and mode shapes for six combinations of boundary conditions. The shooting method is used to solve the resulting eigenvalue problem. Our results show that static deformations have a significant effect on the natural frequencies and small effect on the mode shapes of the plate. Further, the results show that the presence of in-plane stresses has a significant effect on the natural frequencies
This paper deals with the numerical simulation of free vibration analysis of a thin circular annular...
In most publications on vibration of annular plates, the natural frequencies are only presented for ...
ABSTRACT: Fundamental equations -- Displacement functions -- Deformation and stress component matric...
We present a numerical procedure to solve the axisymmetric vibration problem of statically loaded an...
The effects of large vibration amplitudes on the first axisymetric mode shape of thin isotropic annu...
In this paper, the non-linear free axisymmetric vibration of a thin annular plate made of functional...
The free vibration of annular thick plates with linearly varying thickness along the radial directio...
An exhaustive set of numerical results covering buckling loads and frequency parameter values obtain...
The nonlinear dynamic instability of an annular sector plate subjected to equal and opposite time-va...
In this paper, a non-classical microplate model is developed for the axisymmetric nonlinear free vib...
Buckling load and frequency parameters evaluated through the finite element method for moderately th...
Based on first order shear deformation theory, free vibrational behaviour of antisymmetric angle-ply...
We are concerned with the deformation of thin, flat annular plates under a force applied orthogonall...
We introduce solution methods capable of treating static bending and free vibration problems involvi...
441-451Annular plates are commonly used as structural elements in various engineering application...
This paper deals with the numerical simulation of free vibration analysis of a thin circular annular...
In most publications on vibration of annular plates, the natural frequencies are only presented for ...
ABSTRACT: Fundamental equations -- Displacement functions -- Deformation and stress component matric...
We present a numerical procedure to solve the axisymmetric vibration problem of statically loaded an...
The effects of large vibration amplitudes on the first axisymetric mode shape of thin isotropic annu...
In this paper, the non-linear free axisymmetric vibration of a thin annular plate made of functional...
The free vibration of annular thick plates with linearly varying thickness along the radial directio...
An exhaustive set of numerical results covering buckling loads and frequency parameter values obtain...
The nonlinear dynamic instability of an annular sector plate subjected to equal and opposite time-va...
In this paper, a non-classical microplate model is developed for the axisymmetric nonlinear free vib...
Buckling load and frequency parameters evaluated through the finite element method for moderately th...
Based on first order shear deformation theory, free vibrational behaviour of antisymmetric angle-ply...
We are concerned with the deformation of thin, flat annular plates under a force applied orthogonall...
We introduce solution methods capable of treating static bending and free vibration problems involvi...
441-451Annular plates are commonly used as structural elements in various engineering application...
This paper deals with the numerical simulation of free vibration analysis of a thin circular annular...
In most publications on vibration of annular plates, the natural frequencies are only presented for ...
ABSTRACT: Fundamental equations -- Displacement functions -- Deformation and stress component matric...