In order to evaluate the suspension unit, a test was carried out where the hammer is dropped onto the anvil and the resulting transient vibration of the anvil is recorded (at approx. 250ms intervals). An example of the test- results from one such test is shown in Figure 2. During all tests, it was observed that the hammer impacted with the anvil without rebound. Damper C Hammer my Anvil MA Spring Figure 1. Drop Forge Deflection (mm) 15 10 5 -10 -15 -20 0 XO Y-1556 x 0.30 Y 10805 0.5 COM Y: -7.556 X 1.07 X 142 1.5 Time (s) X 179 only X 2.125 Figure 2. Example - Transient Vibration Test Results 2.5 3 2. Task You must each analyse this single-degree-of-freedom suspension unit in MS Excel, based on specific data that will be provided. This data includes a transient vibration data graph such as Figure 2 and relevant mass values. You will use this data to determine the spring stiffness (k) and the viscous damping constant (c) of the system. Note: As the displacement of the anvil recorded on these data graphs is sampled every 250.0ms, the displayed amplitudes may not have been recorded exactly at the peak/trough time. You may assume that any error in the amplitude reading is negligible, but you should take care to estimate the periodic time as accurately as possible from the plot.
In order to evaluate the suspension unit, a test was carried out where the hammer is dropped onto the anvil and the resulting transient vibration of the anvil is recorded (at approx. 250ms intervals). An example of the test- results from one such test is shown in Figure 2. During all tests, it was observed that the hammer impacted with the anvil without rebound. Damper C Hammer my Anvil MA Spring Figure 1. Drop Forge Deflection (mm) 15 10 5 -10 -15 -20 0 XO Y-1556 x 0.30 Y 10805 0.5 COM Y: -7.556 X 1.07 X 142 1.5 Time (s) X 179 only X 2.125 Figure 2. Example - Transient Vibration Test Results 2.5 3 2. Task You must each analyse this single-degree-of-freedom suspension unit in MS Excel, based on specific data that will be provided. This data includes a transient vibration data graph such as Figure 2 and relevant mass values. You will use this data to determine the spring stiffness (k) and the viscous damping constant (c) of the system. Note: As the displacement of the anvil recorded on these data graphs is sampled every 250.0ms, the displayed amplitudes may not have been recorded exactly at the peak/trough time. You may assume that any error in the amplitude reading is negligible, but you should take care to estimate the periodic time as accurately as possible from the plot.
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:This assignment involves the evaluation of a suspension system of a drop forge (Figure 1). The forge consists of
an anvil of mass m, and a drop hammer of mass m. The suspension unit provides both stiffness and damping as
shown.
In order to evaluate the suspension unit, a test was carried out where the hammer is dropped onto the anvil and
the resulting transient vibration of the anvil is recorded (at approx. 250ms intervals). An example of the test-
results from one such test is shown in Figure 2. During all tests, it was observed that the hammer impacted with
the anvil without rebound.
Damper
Hammer
MH
Anvil
MA
Spring
Figure 1. Drop Forge
Deflection (mm)
15
10.
-10
-15
-20
0
хо
Y-15.56
X: 0.36
Y 10 825
0.5
X: 1.07
Y: 5255
142
Kampenly
Y: -3.700
Y: -7.555
X 1.79
Y: 2522
1.5
Time (s)
x 2.125
Y: -1.794
Figure 2. Example - Transient Vibration Test Results
2.5
3
2. Task
You must each analyse this single-degree-of-freedom suspension unit in MS Excel, based on specific data that will
be provided. This data includes a transient vibration data graph such as Figure 2 and relevant mass values. You
will use this data to determine the spring stiffness (k) and the viscous damping constant (c) of the system.
Note: As the displacement of the anvil recorded on these data graphs is sampled every 250.0ms, the displayed
amplitudes may not have been recorded exactly at the peak/trough time. You may assume that any error in the
amplitude reading is negligible, but you should take care to estimate the periodic time as accurately as possible
from the plot.
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