FEA- Introduction
Hello Everyone,
before start 'FEA Introduction', we will discuss Engineering problem-solving method. generally, three classical engineering problem-solving methods.
1) Analytical 2) Numerical 3) Experimental
Different Numerical Methods
- Finite Element Method(FEA):- The Finite Element Method is a popular numerical technique used to determine the approximated solution for a partial differential equation (PDE). Applications- Static & Dynamic Structural, Fatigue, Thermal, Buckling analysis
- Boundary Element Method(BEM):- Powerful and efficient technique to solve acoustics or NVH problems. just like FEA, it also requires node & elements, but it only considers the outer boundary of the domain. so when the problem is of a VOLUME, only the outer surfaces are considered. if the domain is of an AREA, then only the outer periphery is considered.
- Finite Volume Method (FVM):- FVM Method representing and evaluating partial differential equations as algebraic equations method is used in many computational fluid dynamic packages. Applications- CFD (Computational Fluid Dynamics) and Computational Electromagnetics.
- Finite Difference Method(FDM):- Its uses Taylor's Series to convert a differential equation to an algebraic equation. in the conversion process, higher order terms neglected. it is used in combination with BEM or FVM to solve Thermal and CFD coupled problems
Whats is FEA????
The Finite Element Analysis (FEA) is the simulation of any given physical phenomenon using the numerical technique called Finite Element Method (FEM). Engineers use it to reduce the number of physical prototypes and experiments and optimize components in their design phase to develop better products, faster.
Even FEA is like a calculator, it only does math operations. CAE Analyst is far more complex than that, and requires a lot of knowledge well outside of the math operations! You need to understand how to mesh your model, how to load and how to support it. Finally, you need to know what analysis is the “right one” and how to interpret the outcomes. There are so many things that are important in CAE. It is necessary to use mathematics to comprehensively understand and quantify any physical phenomena, such as structural or fluid behavior, thermal transport, wave propagation. Most of these processes are described using partial differential equations (PDEs).
FEA - Partial Differential Equations:-
PDEs can be categorized as elliptic, hyperbolic, and parabolic. Examples for PDEs in each category include the Poisson equation (elliptic), Wave equation (hyperbolic), and Fourier law (parabolic). There are two main approaches to solving elliptic PDEs, namely the finite difference methods (FDM) and variational (or energy) methods. FEA falls into the second category. Variational approaches are primarily based on the philosophy of energy minimization.
FEA Process Flow:-
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