CADA UNIT 2- INTRO TO FEM Quiz-14 OCT 2024

What is the main purpose of Finite Element Analysis (FEA)?

• To reduce computational time

• To simplify complex problems into smaller, manageable parts

• To solve differential equations exactly

• To increase the dimensions of a structure

In the finite element modeling procedure, discretization refers to:

• The process of finding exact solutions to differential equations

• Dividing a continuum into smaller elements

• Combining elements to form a continuum

• Calculating boundary conditions

Which mathematical method is used to solve systems of linear equations in FEM?

• Newton's method

• Runge-Kutta method

• Gaussian elimination

• Lagrange multipliers

Which of the following is NOT a classical technique in FEM?

• Ritz method

• Newton-Raphson method

• Weighted residual method

• Potential energy method

The Ritz method is primarily used for:

• Minimizing the potential energy of a system

• Discretizing a domain

• Interpolating between known data points

• Solving systems of linear equations

What is a governing equation for a continuum in FEA?

• A linear equation used to describe heat transfer

• A differential equation that describes the behavior of a physical system

• A boundary condition for mesh refinement

• A method for element assembly

In FEA, which principle is the foundation of the Potential Energy Method?

• Bernoulli's principle

• Conservation of momentum

• Principle of minimum potential energy

• Lagrange's equation

The process of breaking down a complex shape into smaller, simpler parts is called:

• Meshing

• Linearization

• Simplification

• Element mapping

In Gaussian elimination, which process is used to simplify the system of equations?

• Integration

• Row reduction

• Differentiation

• Eigenvalue decomposition

Weighted residual methods are based on:

• Minimizing the residual error

• Maximizing the energy of a system

• Integrating over the boundary of the domain

• Averaging the governing equations