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DeGarmo's Materials and Processes in Manufacturing
12th Edition
ISBN: 9781118987674
Author: J. T. Black, Ronald A. Kohser
Publisher: WILEY
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Textbook Question
Chapter 37, Problem 46RQ
How do ultrasonic vibrations produce a weld?
Expert Solution & Answer
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3. The figure shows a frame under the
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& direction
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15 cm
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50 N
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The 2-mass system shown below depicts a disk which rotates about its center and has rotational
moment of inertia Jo and radius r. The angular displacement of the disk is given by 0. The spring
with constant k₂ is attached to the disk at a distance from the center. The mass m has linear
displacement & and is subject to an external force u. When the system is at equilibrium, the spring
forces due to k₁ and k₂ are zero. Neglect gravity and aerodynamic drag in this problem. You may
assume the small angle approximation which implies (i) that the springs and dampers remain in
their horizontal / vertical configurations and (ii) that the linear displacement d of a point on the
edge of the disk can be approximated by d≈re.
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K2
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m
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Jo
Make the following assumptions when analyzing the forces and torques:
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0>0, 0>0, x> > 0, >0
Derive the differential equations of motion for this dynamic system. Start by sketching
LARGE and carefully drawn free-body-diagrams for the disk and the…
A linear system is one that satisfies the principle of superposition. In other words, if an input u₁
yields the output y₁, and an input u2 yields the output y2, the system is said to be linear if a com-
bination of the inputs u = u₁ + u2 yield the sum of the outputs y = y1 + y2.
Using this fact, determine the output y(t) of the following linear system:
given the input:
P(s) =
=
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U(s)
=
s+1
s+10
u(t) = e−2+ sin(t)
=e
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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