Degarmo's Materials And Processes In Manufacturing
13th Edition
ISBN: 9781119492825
Author: Black, J. Temple, Kohser, Ronald A., Author.
Publisher: Wiley,
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Textbook Question
Chapter 37, Problem 50RQ
What kinds of materials can be joined by diffusion bonding?
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100
As a spring is heated, its spring constant decreases. Suppose the spring is heated and then cooled so that the
spring constant at time t is k(t) = t sin + N/m. If the mass-spring system has mass m = 2 kg and a
damping constant b = 1 N-sec/m with initial conditions x(0) = 6 m and x'(0) = -5 m/sec and it is
subjected to the harmonic external force f (t) = 100 cos 3t N. Find at least the first four nonzero terms in
a power series expansion about t = 0, i.e. Maclaurin series expansion, for the displacement:
• Analytically (hand calculations)
Creating Simulink Model
Plot solutions for first two, three and four non-zero terms as well as the Simulink solution on the same graph
for the first 15 sec. The graph must be fully formatted by code.
Two springs and two masses are attached in a straight vertical line as shown in Figure Q3. The system is set
in motion by holding the mass m₂ at its equilibrium position and pushing the mass m₁ downwards of its
equilibrium position a distance 2 m and then releasing both masses. if m₁ = m² = 1 kg, k₁ = 3 N/m and
k₂ = 2 N/m.
(y₁ = 0)
www
k₁ = 3
Jm₁ = 1
k2=2
www
(Net change in
spring length
=32-31)
(y₂ = 0)
m₂ = 1
32
32
System in
static
equilibrium
System in
motion
Figure Q3 - Coupled mass-spring system
Determine the equations of motion y₁ (t) and y₂(t) for the two masses m₁ and m₂ respectively:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Produce an animation of the system for all solutions for the first minute.
Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank
A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each
tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of
6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If,
initially, tank A contains pure water and tank B contains 20 kg of salt.
A
6 L/min
0.2 kg/L
x(t)
100 L
4 L/min
x(0) = 0 kg
3 L/min
1 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t≥ 0:
Analytically (hand calculations)
Using MATLAB Numerical Functions (ode45)
Creating Simulink Model
Plot all solutions on the same graph for the first 15 min. The graph must be fully formatted by code.
Chapter 37 Solutions
Degarmo's Materials And Processes In Manufacturing
Ch. 37 - What are the two primary functions of the...Ch. 37 - What are the two major roles of the applied...Ch. 37 - Why might resistance welding be considered a form...Ch. 37 - Why is there no need for fluxes or shielding gases...Ch. 37 - Prob. 5RQCh. 37 - What are the three components that contribute to...Ch. 37 - What measures can be taken to reduce the...Ch. 37 - What factors control the resistance between the...Ch. 37 - What are the possible consequences of too little...Ch. 37 - What is the ideal sequence for pressure...
Ch. 37 - Why do the resistance-welding conditions become...Ch. 37 - What magnitude of current might be required to...Ch. 37 - What are some of the changes that can occur in...Ch. 37 - What is the simplest and most widely used form of...Ch. 37 - What is the typical size of a spot-weld nugget?Ch. 37 - What are the two basic types of stationary...Ch. 37 - What is the major advantage of spot-welding guns?Ch. 37 - What are the pros and cons of a resistance spot...Ch. 37 - What are some of the properties that must be...Ch. 37 - What is the most common metal that is spot welded?Ch. 37 - What is the practical limit of the thicknesses of...Ch. 37 - What design features can be altered to permit the...Ch. 37 - What are the two methods used to produce...Ch. 37 - For what products would resistance butt welding be...Ch. 37 - What two limitations of spot welding can be...Ch. 37 - What limits the number of projection welds that...Ch. 37 - What are some of the attractive features of...Ch. 37 - What are some of the primary limitations to the...Ch. 37 - What type of metallurgical problem might be...Ch. 37 - What were some of the limitations that made the...Ch. 37 - What features promote coalescence in cold welding?Ch. 37 - Describe how the roll-bonding process can be used...Ch. 37 - Describe the friction welding process.Ch. 37 - How is inertia welding similar to friction...Ch. 37 - How are surface impurities removed in the...Ch. 37 - Why are inertia welds of more consistent quality...Ch. 37 - What are some of the geometric limitations of...Ch. 37 - How does linear friction welding differ from...Ch. 37 - How does friction-stir welding differ from...Ch. 37 - What are the primary process variables in...Ch. 37 - What are some of the attractive features of...Ch. 37 - What are some of the materials that have been...Ch. 37 - What is the benefit of adding a preheat laser to...Ch. 37 - Describe the friction-stir spot welding process.Ch. 37 - Prob. 45RQCh. 37 - How do ultrasonic vibrations produce a weld?Ch. 37 - What are some of the geometric limitations of...Ch. 37 - What are some of the attractive features of...Ch. 37 - What are the conditions necessary to produce...Ch. 37 - What kinds of materials can be joined by diffusion...Ch. 37 - How might intermediate layers be used to enhance...Ch. 37 - How are surface contaminants removed during...Ch. 37 - If the interface of a weld is viewed in cross...Ch. 37 - What are some typical applications of explosive...Ch. 37 - Many advanced engineering products, as well as...Ch. 37 - Using the Internet or technical literature,...Ch. 37 - Friction-stir processing is an interesting...Ch. 37 - Investigate the various types of power supplies...Ch. 37 - Consider a muffler being made entirely from...Ch. 37 - Prob. 2CSCh. 37 - Prob. 3CSCh. 37 - An alternate material might be one-side...Ch. 37 - Prob. 5CS
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