Theoretical and Applied Mechanics and Engineering
(TAME Series)
on
Control Engineering Design and Analysis
Instructor: Professor M. S. Fofana, BSc-MSc, MASc, PhD
e-mail: msfofana@wpi.edu
v-mail: (508) 831 5966
fax-mail: (508)-831-5178
Director of MIRAD La
2. Modeling Linear Circuit Systems and Analysis
2.1. Resistance R, Capacitance C, and Inductance L in Series Conguration
Circuit Resistance R, inductanceL and capacitance C are series with the voltage
delivered by the DC motor or battery. The parameters v
Modeling of Gear Trains, Shaft and Mechanical Loads:
Step-by Step Formulation Process
Consider a set of gears, a pinion (gear 1) and output gear (gear 2) that are connected
to the output shaft (called Shaft 1) of a DC motor. Shaft 1 of the DC motor is mou
Appendix 5
Tables of Laplace Transforms
Last update: February 2, 2008
Many Laplace transforms and their inverses have been derived and compiled. Extensive
compilations of Laplace transforms are available from many sources, including entire
books (see for
Topic IV.
Kinematics of Pulleys
Pulleys are examples of power transmitting mechanisms and
they are widely used in elevators.
Kinematical Constraints
(1) The length of the cable does not stretch or contract.
(2) Pulley or set of pulleys are attached to a x
1. Linear Mass-Spring-Dashpot System Formulation and Analysis
Figure 1 presents a single degree of freedom mass-spring-dashpot model where the
applied force f (t) causes the mass to move from its static equilibrium position x = 0 to
a displacement x(t) al
THEORY, APPLICATIONS AND MECHANICS (TAM) OF
CONTROL SYSTEMS ENGINEERING
(TAM for Control Systems Engineering)
Instructor: Professor M. S. Fofana, BSc-MSc, MASc, PhD
e-mail: msfofana@wpi.edu
v-mail: (508) 831 5966
fax-mail: (508)-831-5178
Director of MIRAD
Theoretical and Applied Mechanics and Engineering
(TAME Series)
on
Introduction to Control of Dynamical Systems
Instructor: Professor M. S. Fofana, BSc-MSc, MASc, PhD
e-mail: msfofana@wpi.edu
v-mail: (508) 831 5966
fax-mail: (508)-831-5178
Director of MIR
1. Ti undergoes a polymorphic transformation from HCP to BCC structure when heated above 882C. Estimate
the % volume change that may occur in a sample of Ti when heated from room temperature to 900C. For
the BCC lattice, the lattice parameter is measured
This weeks problems are mostly on Fracture, Fatigue and Creep. Your Materials books (Callister used in
ES2001 or Askeland used in Grad Materials classes) should be helpful.
1. The following data were obtained for the steady state creep (Stage II) in Ni ba
AE 4718: HOMEWORK 1
Peter Melander
March 24, 2015
Problem 1
The Ti is going to transform from HCP to BCC when heated as specied.
For the BCC crystal structure, the equation relating atomic radius and crystal structure is given by:
a 3
4R
or R =
a=
4
3
It
AE 4718: HOMEWORK 3
Peter Melander
April 8, 2015
Problem 1
The main dierence between the two types of hot corrosion is temperature. Type I hot corrosion occurs at temperatures above about 950o C and was rst observed in aircraft gas turbines. It relies on
1. An article on Hot Corrosion is in the assignment 3 folder. Based on this article, summarize the
key features to type I and type II hot corrosion.
2. Rate the following alloys in terms of strength, corrosion resistance, and K IC (i.e. which is likely to
AE 4718: HOMEWORK 3
Peter Melander
April 22, 2015
Problem 1
A few factors control KIC and fatigue crack growth rate in Al alloys. The volume fraction of constituent
particles decreasing results in improved fracture toughness, and coarser dispersoids in th
1. Based on Chapters 2 and 4, answer the following questions. a) What factors control K IC and
fatigue crack growth rate in Al alloys? b) What new heat treatable Ti alloy is becoming popular in
aerospace applications? C) In the chapter, there is a process
AE 4718: HOMEWORK 5
Peter Melander
May 1, 2015
Problem 1
rT i = 0.145nm
MT i = 47.87
amu
kg
= 7.949 1026
atom
atom
rAl = 0.143nm
MAl = 26.98
amu
kg
= 4.480 1026
atom
atom
a 3 = 4rAl
c = 1.02a
a = 0.404nm
Vcell = a2 c = 1.02a3 = 1.02(0.404nm)3 = 0.0673nm3
1. The crystal structure of -TiAl was discussed in class. The FCT unit cell is also shown below.
Based on the unit cell estimate the theoretical density of -TiAl.
2. A reference on -TiAl is posted in the Assignment 5 folder. Based on this file, a) What ar