To Create an Model of the Rotating Shaft and Analyse the Frequency analysis using FEA
OBJECTIVE :-
To Create an Model of the Rotating Shaft and Analyse the Frequency analysis using FEA.
FINITE ELEMENT ANALYSIS :-
The finite element method (FEM) is the most widely used method for solving problems of engineering and mathematical models. Typical problem areas of interest include the traditional fields of structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential. The FEM is a particular numerical method for solving partial differential equations in two or three space variables .To solve a problem, the FEM subdivides a large system into smaller, simpler parts that are called finite elements. This is achieved by a particular space discretisation in the space dimensions, which is implemented by the construction of a mesh of the object: the numerical domain for the solution, which has a finite number of points. The finite element method formulation of a boundary value problem finally results in a system of algebraic equations. The method approximates the unknown function over the domain. The simple equations that model these finite elements are then assembled into a larger system of equations that models the entire problem. The FEM then uses variational methods from the calculus of variations to approximate a solution by minimizing an associated error function.
FEM is best understood from its practical application, known as finite element analysis (FEA). FEA as applied in engineering is a computational tool for performing engineering analysis. It includes the use of mesh generation techniques for dividing a complex problem into small elements, as well as the use of software program coded with FEM algorithm. In applying FEA, the complex problem is usually a physical system with the underlying physics such as the Euler-Bernoulli beam equation, the heat equation, or the Navier-Stokes equations expressed in either PDE or integral equations, while the divided small elements of the complex problem represent different areas in the physical system.
- Create the Model of a Rotational Shaft using following dimensions.
Model-
- Now Go to the Simulation -> New study -> Frequency -> Ok
Boundry Conditions :-
Material Required :-
- Apply Material -> Alloy steel -> Apply
- Apply Fixtures -> Bearing Fixture -> On both the end of the Rotational Shaft
External Loads :-
- Apply External load -> Tensile Load -> Cylindrical face of the Flywheel
- Centrifugal Force = 100 rad/sec
- Set Direction of Rotation
Meshing :-
- Mesh -> Create mesh -> Mesh Size = 6mm amd Tolerance = 0.03 mm
- Mesh and RUN the Simulation
RESULTS :-:-
There are 5 mode Shapes which has different Resonant Frequency:-
MODE SHAPE-1 (In this mode there is deformation as shown and there is no Node observed)
| Model No. | Frequency(Rad/sec) | Frequency(Hertz) | Period(Seconds) | Max. Amplitude | Min. Amplitude |
| 1 | 99.892 | 15.898 | 0.0629 | 7.283e-001 | 1.769e-004 |
| 2 | 2109.8 | 335.78 | 0.0029781 | 4.343e-001 | 4.941e-005 |
| 3 | 2110.2 | 335.85 | 0.0029775 | 4.342e-001 | 4.917e-005 |
| 4 | 6478.4 | 1031.1 | 0.00096987 | 1.549e+00 | 6.523e-004 |
| 5 | 6482.2 | 1031.7 | 0.0009693 | 1.549e+00 | 8.681e-004 |