what is the maximum deflection of the bumper?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:A rail road bumper is designed as a spring in parallel with a viscous damper. What
is the bumper's damping coefficient such that the system has a damping ratio of
1.25, when the bumper is engaged by a rail car of 20,000 kg mass. The stiffness
of the spring is 200 kN/m. If the rail car engages the bumper, while traveling at a
speed of 20m/s, what is the maximum deflection of the bumper?
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Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Calculate the natural frequency.
VIEWStep 2: Write the general equation for free damped vibration and substitute the given values.
VIEWStep 3: Find the roots of complementary function.
VIEWStep 4: Write the general equation for real roots.
VIEWStep 5: Find constant values A and B, substitute in general equation.
VIEWStep 6: Find the maximum deflection using derived equation.(minimum value of time, t=0)
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