Finite element analysis of the in-plane behaviour of annular disks

Steady state stress analysis of centrifugal fan impellers

Abstract: Cyclic symmetric structures such as centrifugal fan impellers are considered in this paper. One of the identical sectors is chosen for the finite element analysis. A triangular plate element is employed. The stiffness and load matrices are obtained in cylindrical coordinates. The displacements are obtained using a modified submatrices elimination scheme. The efficiency of this scheme is discussed. Impeller stresses are calculated and checked with the results obtained using a strain gauge technique.

Stress and strain analysis of rotating fgm thermoelastic circular disk by using fem

Abstract: This paper concentrates on the finite element analysis of thermoe- lastic stresses, displacements and strains in a thin circular functionally graded material (FGM) disk subjected to thermal loads. Further the temperature pro- files have been modeled with the help of heat conduction equation. The model has been solved numerically for an Al2O3/Al FGM disk. The numerical re- sults reveal that these quantities are significantly influenced by temperature

Stability and vibration of an annular plate with concentrated edge load

Abstract: Buckling and free vibration of an annular plate with clamped inner boundary and a concentrated, in-plane edge load at the outer boundary are studied using the semi-analytical Finite Element Method. The annular plate elements developed by Pardoen are used for this purpose. Exact in-plane stress field is obtained for various harmonics. Geometric stiffness matrices are developed which are general and can handle any in-plane stress field once its Fourier expansion is known. Results indicate that theoretical buckling loads and frequencies of free vibration are considerably lower than the values reported in earlier analyses.

Vibration Analysis of a Rotating FGM Thermoelastic Axisymmetric Circular Disk Using FEM

Abstract: This paper studies the thermoelastic displacements, stresses, and strains in a thin, circular, functionally graded material (FGM) disk subjected to thermal load by taking into account an inertia force due to rotation of the disk. The material properties of the FGM disk have been assumed to vary exponentially in the radial direction. Based on the two-dimensional thermoelasticity theory, the axisymmetric problem is formulated in terms of a second-order ordinary differential equation, which is solved by employing the finite element method (FEM). The temperature profile has been modeled with the help of a heat conduction equation. The model has been solved numerically to attain stresses, strains, and displacements in an Al2O3/Al FGM circular disk and the computer-simulated results are presented graphically. The effect of Kibel Number on stresses, strains, and displacement has also been discussed. The numerical results reveal that these quantities are significantly influenced by temperature distribution, thick...

Skyline solver for the static analysis of cyclic symmetric structures

Abstract: A new solution technique is proposed for the static analysis of cyclic symmetric structures, in order to reduce computational effort. Efficient node numbering methods and the selection of a basic substructure for the cyclic symmetric analysis are suggested. Extension of cyclic symmetric analysis to an axisymmetric structure subjected to unsymmetric loading also is discussed. Another new method based on load norms is presented for selection of the Fourier harmonics indices for the analysis.

The finite element method in engineering science

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Static, vibration and buckling analysis of axisymmetric circular plates using finite elements

Abstract: The static, vibration, and buckling analysis of axisymmetric circular plates using the finite element method is discussed. For the static analysis, the stiffness matrix of a typical annular plate element is derived from the given displacement function and the appropriate constitutive relations. By assuming that the static displacement function, which is an exact solution of the circular plate equation ▿ 2 ▿ 2 W = 0, closely represents the vibration and buckling modes, the mass and stability coefficient matrices for an annular element are also constructed. In addition to the annular element, the stiffness, mass, and stability coefficient matrices for a closure element are also included for the analysis of complete circular plates (no center hole). As an extension of the analysis, the exact displacement function for the symmetrical bending of circular plates having polar orthotropy is also given.

Asymmetric bending of circular plates using the finite element method

Abstract: The asymmetric bending of circular plates using the finite element method is discussed. The plate bending model consists of one-dimensional circular and annular ring segments using a Fourier series approach to model the problem asymmetries. Using displacement functions which are the exact solutions of the plate bending equation, the stiffness coefficients corresponding to the 0th, 1st, and n th harmonics are presented in closed form. These stiffness coefficients, which can be readily coded into any special or general purpose structural analysis computer program, represent the exact solution to any structural model consisting of nodal displacements and forces. An example indicating the technique is presented.