Theory and Design for Mechanical Measurements
Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
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Chapter 6, Problem 6.39P

The Labview program Filtering_Noise demonstrates the effect of using a low-pass Butterworth filter to treat a signal containing high-frequency noise. Set the signal frequency at 5 Hz. Set the cutoff frequency at 10 Hz. Discuss the behavior of the filter as the number of stages is increased. Then incrementally decrease the cutoff frequency and discuss the behavior. Tie your discussion back to filter roll-off. What happens when the cutoff frequency is less than the signal frequency? Why?

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d. At t=0, temperature of water suddenly changed from 25°C to 100°C. The transfer function of the sensor is given as V=(0.06V/°C) (T- 20°C). The output voltage was measured every 0.1s and recorded in Table 1. Find the equation explaining the dynamic behaviour of the sensor. Table 1 Time (sec) 0.0 0.1 0.2 0.3 0.4 0.5 Voltage (V) 0.3 1.8 2.8 3.4 3.9 4.2
KNOWN: Temperature sensor Error limit: +0.5°C Readout Device Resolution: 0.1°C Accuracy: 0.6°C FIND: ud
The following chart represents the Dynamic Amplification Factor (DLF) of pulses type Ramp. Time from 0 to Maximum force: td Natural Period of the structure: T What is the maximum dynamic displacement of a structure with: stiffness, k, of 150 kip/in mass, m=50/g k-sec^2/in g: gravity acceleration The ramp force reach the maximum force F=100kip in a time td-0.15 sec RAMP: DLF vs td/T DLF 2500 1.500 1.000 0:000 O 0.81 in O 1.22 in O 0.67 in O 1.50 in td/T 15

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Theory and Design for Mechanical Measurements

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