ME3112-1 VIBRATION MEASUREMENT
SEMESTER 5
SESSION 2011/2012
Department of Mechanical Engineering
National University of Singapore
CONTENTS
TABLES OF CONTENTS
1
INTRODUCTION
1
DYNAMIC MEASURING TECHNIQUES
1
Objective
1
Experimental Set-up
1
Description of
3. Kinematics of rigid bodies
Outline
Rigid body vs particle
Translation motion
Rotation about a fixed point
General motion
Motion in rotating frame
1 / 78
Rigid body vs particle
What distinguishes a rigid body from a particle?
2 / 78
Rigid body vs parti
5. Plane motion Newtons 2nd law
Outline
Momentum
Forces
Moments
Preview of equations
aG is accel of center of mass
~L = M~vG
~ G = IG ~
H
and
and
~ = M~aG
F
~ G = IG
M
~
1 / 35
Linear momentum I
Linear momentum
X
~L =
mq ~vq
for a system of particles
q
4. Mass properties
Outline
Center of mass
Moment of inertia
1 / 29
Mass of a rigid body
summation of mass of all
particles
Total mass
X
M=
mq
for a system of particles
q
=
Z
dmQ =
B
Z
Q dV
for a continuum body
V
density x volume
for one particle
(summati
2. Review of particle dynamics
Outline
Kinematics (Velocity and Acceleration)
Newtons 2nd law
1 / 25
Velocity and Acceleration
Position vector ~x with respect to O.
Velocity vector is given by rate of change of position vector.
d~x
~v =
dt
Acceleration v
5. Plane motion Energy method
Outline
Kinetic energy
Work-energy priciple
Conservative forces
1 / 18
Kinetic energy I
For a particle
scalar quantity
1
1
T = mq |~vq |2 = mq~vq .~vq
2
2
For a system of particles
T =
X1
q
2
mq~vq .~vq
For a continuum rigid
Tutorial 2
ME3112
1
Questions 1 to 3 kinematics of rigid body
Questions 4 mass properties
2
Question 1 ROBLEM 15.55 (B&J,
th
10
Edition)
Knowing that at the instant shown the velocity of collar A is
900 mm/s to the left, determine (a) the angular veloci
NATIONALUNIVERSITYOFSINGAPORE
DEPARTMENTOFMECHANICALENGINEERING
ME3112 1
LAB REPORT
VIBRATION MEASUREMENT
2007/08 Semester 5
Submitted By:
Aims and Objectives
The purpose of this experiment is to introduce students to the use of measuring
equipment that a
ME3112-2 DYNAMIC BALANCING & GYROSCOPIC EFFECTS
SEMESTER 5
SESSION 2011/2012
Department of Mechanical Engineering
National University of Singapore
CONTENTS
LIST OF ILLUSTRATIONS
LIST OF TERMINOLOGY & SYMBOLS
INTRODUCTION
PART A:
UNBALANCED DYNAMIC FORCES
ME3112-1 VIBRATION MEASUREMENT
SEMESTER 5
SESSION 2009/2010
Department of Mechanical Engineering
National University of Singapore
INTRODUCTION
Purpose and Scope
The purpose of this experiment is to introduce students to the use of certain measuring
equipm