Dynamics and Vibrations

PREREQUISITES

WHAT YOU MUST KNOW TO SUCCEED IN THIS COURSE

(Course
number designation applies to

**MEEN 221**: **Statics and
Particle Dynamics**

Statics
and

Conservation
of Linear and Angular Momentum.

Principles
of Work and Energy (Potential and Kinetic),

Impulse
and Momentum/Collision of particles

**MATH 308:
Differential Equations**

Solution
of Linear Ordinary Differential Equations (operator or Laplace transform
methods) AND

Interpretation
of solutions (firs and 2^{nd} order systems)

Systems
of differential equations.

Basic
Theory of complex numbers.

Conversion
from Cartesian to polar coordinates.

**MEEN 357: Engineering Analysis for MEs **(concurrent)

Basic
knowledge of computing languages (MATLAB, MAPLE, Visual Basic, or any other).

Methods
for numerical solution of systems of algebraic equations and linear
differential equations, and including evaluation of matrix
eigenvalues/eigenvectors

How
to program multiple operations using recursive algorithms

**CVEN 305: Mechanics of Materials**** **

Basic
knowledge of material mechanical properties

Stress
and strain relationships in elastic materials: rods in torsion, bars under
tension/compression, bending of beams.

Design
and selection of rods for torque transmission, bars for uniaxial load bearing, and
beams for support of loads in flexion.

Stability
of structural systems

**OTHER things you should know**

Vector
Algebra and Calculus.

Complex
numbers

Matrix
Algebra including evaluation of determinants and

solution of systems of linear algebraic
equations.

Correct
use of SI and U.S. Customary units: Conversion skills and equivalence of units.

**AND LAST BUT NOT LEAST:
DESIRE AND WILL TO LEARN!**

**OTHER
IMPORTANT INFORMATION YOU SHOULD KNOW: **

Mathematical
procedures and analysis in assignments and exams will be regarded as erroneous
if physical units are handled incorrectly. The least we can expect from
conscientious students (potential mechanical engineers) is the correct usage
and conversion of physical units and the ability to estimate the right order of
magnitude of an answer to an engineering problem.

Refer
to a math textbook and refresh your knowledge on the analytical__ solution of
linear ordinary differential equations.__ This material is your sole
responsibility since you learned it on a prior class (MATH 308).

In
my experience, common sense is a must for a successful engineering career!

Luis
San Andrés

Course
Instructor