Page 33 - Finite Element Modeling and Simulations with ANSYS Workbench

18 Finite Element Modeling and Simulation with ANSYS Workbench

PROBLEMS
1.1 Answer the following questions briefly:
a. What is the physical meaning of the FE equations (for either an element or the
whole structure)?
b. What is the procedure in using the FEM?
1.2 Answer the following questions briefly:
a. What is a finite element discretization or a finite element mesh?
b. Define the terms: node and element.
1.3 Using ANSYS Workbench, solve the following problems:
a. Create a project schematic that includes structural analysis of two design
parts of the same vehicle.
b. Create a project schematic that allows sequential thermal-stress coupling
analysis.
1.4 Consider the spring system shown below. Find the global stiffness matrix for the
entire system.

k 3
k k
1 1 5
3 k 4 4 5 k 6 6
k 2 F 5
2
x

1.5 Consider the spring system shown below. Find the global stiffness matrix for the
entire system.
k 2 3
k k
1 1 2 3 k 6
F 5 5 6
k 4 k
x 4 5

1.6 A spring system is shown below

1 k 1
F 3 k 3 F 4
k 2 3 4
2
x

Given: k = 80 N/mm, k = 100 N/mm, k = 160 N/mm, F = 200 N, F = 100 N, and
3
3
4
2
1
nodes 1 and 2 are fixed;
Find:
a. Global stiffness matrix
b. Displacements of nodes 3 and 4