Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 2, Problem 2.27P
Construct an amplitude spectrum plot for the Fourier series in Problem 2.16 fory(r) = t. Discuss
the significance of this spectrum for measurement or interpretation of this signal. Hint: The plot can be done by inspection or using software such as DataSpect.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
m2= 3.1 , k2=62
Q.5 Use normal mode analysis to find the natural frequencies of the system shown
below:
The specific values of m2 and k2 are given in separate excel sheet.
m2
m¡ = 2 kg
k3=
= 40 N/m
ao
Find a false statement regarding the following plot for ()
is the amplitude for the solution z(t) of the equation of motion
+y+wx = ao sin wt.
10
WA(w)
ao
1
Wo
2 0.1
(a) The amplitude wA(w) is the amplitude for the velocity.
(b) At the resonance, the amplitude has the maximum
ag
WA(W)
=
resonance 7
a[wA(w)]
Əw
(d) The resonance is at w = two and twoi.
5
0
=-a0
0.5
0.3 7
ولما
w² - wo
13/2
[(w² - w²)² + 7²w²] ³/2
√(w²z-w²)²+7²
Here, A(w)
2. Determine the Average and RMS value for the function
y (t) = 25 + 10 sin 6nt
over the time period "O to 0.1" sec Comment on the nature and meaning of
the results in terms of analysis of dynamic signals.
Chapter 2 Solutions
Theory and Design for Mechanical Measurements
Ch. 2 - Prob. 2.1PCh. 2 - Prob. 2.2PCh. 2 - Research and describe the importance of...Ch. 2 - Research and describe the importance of data...Ch. 2 - Determine the average and rms values for the func...Ch. 2 - Prob. 2.6PCh. 2 - Prob. 2.9PCh. 2 - Prob. 2.10PCh. 2 - Prob. 2.11PCh. 2 - Prob. 2.12P
Ch. 2 - Express the function y(t) = 4 sin 2xt + 15 cos...Ch. 2 - Prob. 2.14PCh. 2 - The Fourier series that formed the result for...Ch. 2 - The nth partial sum of a Fourier series is defined...Ch. 2 - For the Fourier series given by where t is time in...Ch. 2 - Determine the Fourier series for the function y(t)...Ch. 2 - Show that y(t) = f2(—jc < t < k), y(t + 2k) = y(t)...Ch. 2 - Find the Fourier series of the function shown in...Ch. 2 - Determine the Fourier series for the function y(t)...Ch. 2 - Determine the Fourier series that represents the...Ch. 2 - Consider the triangle wave shown in Figure 2.26 as...Ch. 2 - Prob. 2.24PCh. 2 - A particle executes linear harmonic motion around...Ch. 2 - Define the following characteristics of signals:...Ch. 2 - Construct an amplitude spectrum plot for the...Ch. 2 - Prob. 2.28PCh. 2 - Sketch representative waveforms of the following...Ch. 2 - Represent the function e(t) = 5 sin 31 At + 2 sin...Ch. 2 - Repeat Problem 2.30 using a data set of 256 num...Ch. 2 - A particular strain sensor is mounted to an...Ch. 2 - Prob. 2.33PCh. 2 - Prob. 2.34PCh. 2 - Consider the upward flow of water and air in a...Ch. 2 - Prob. 2.37PCh. 2 - Prob. 2.38PCh. 2 - For the even-functioned triangle wave signal...Ch. 2 - Prob. 2.40P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- The parameters of the system are given as: m=1kg ; l=2m ; k=1000N/m ; M0=10Nm i) Make a modal analysis and calculate natural frequency and those modes shapes ?arrow_forwardA step test of a transducer shows a signal having a damped oscillation decaying to a steady value. If the period of oscillation is 0.577 ms, what is the transducer ringing frequency?arrow_forward5. Sketch the following function in frequency domain plot: i. Y(t) = 3 sin (4лt) + 4 cos (4 лt) ii. Y(t) = 12 sin (10nt) + 5 sin (20лt) + sin (100лt)arrow_forward
- In this Problem, the system of Fig. 5.4.14 (Attached) is taken as a model for an undamped car with the given parameters in fps units. (a) Find the two natural frequencies of oscillation (in hertz). (b) Assume that this car is driven along a sinusoidal washboard surface with a wavelength of 40 ft. Find thetwo critical speeds. m = 100, I =1000, L1 =6, L2 = 4, k1 = k2 = 2000arrow_forwardme Re The first natural frequency and corresponding mode shape of the following system are 0,(t) 02(1) k2arrow_forwardA 100-Hz sine wave is sampled at a frequency of 6096 Hz. A total of 3048 points are taken. (a) What is the Nyquist frequency? (b) What is the frequency resolution.arrow_forward
- Problem 2 Consider sampling input cosine functions, with a sample rate of 100Hz. (a) What is Nyquist Frequency in Hz? (b) What is the period associated with Nyquist Frequency? (c) During one period, how many samples are taken at the Nyquist frequency signal? (d) Give the values at the sample times when you start sampling at time zero. (e) Give the values at the sample times if you are sampling a sine function that is oscillating at Nyquist frequency. (f) Give the values at the sample times if you are sampling a cos (wyt - at times t = kT where T is the sample time interval for Nyquist frequency (the means that the cosine is shifted 45 degrees back in time compared to the original cosine, i.e. a phase delay from input to output). (g) We commented in class that if a cosine is sampled such that there are 4 or more samples in each period, then the control action based on the sampled values might be able to make some effective corrective action. If Nyquist frequency is 100Hz, what sample…arrow_forwardFind the natural frequencies for the system illustrated below.arrow_forwardb24 Find the rms value for the following waveform over one full cycle. 40(V) -1 cycle - 16 7 8 9 10 11 12 (S) -1arrow_forward
- Consider that the free response of the mechanical system is given by y(t) = 5e-at cos(2лƒ) (Eq. 1) whose plot is illustrated in Figure 3: Yh(t) 5 0 0,15 0,25 Arca 0,10 0,20 0,05 0,30 {[s] Figure 3 - Response of the mechanical system as described by Eq. 1. DETERMINE the frequency of damped oscillations of the system in Hertz and rad/s. Considering the damping factor as = 0.075, CALCULATE the system's natural (undamped) frequency. CALCULATE the stiffness of the system if its mass is 25 kg.arrow_forwardProblem 8-2: Let y (t) = sin 100πt Discuss and show the effects of leakage by acquiring 128 data points of this signal using fs = 250 Hz and 200 Hz and examining the amplitude spectrum. Use an amplitude of 1 unit.arrow_forwardPressing a key on the piano you hear 440 Hz.The amplitude decays to 1/10 within 6 s.What would the frequency be like if thedamping was 1/10 within 30 s? Please explain why you used the equation you will be usingarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Introduction to Undamped Free Vibration of SDOF (1/2) - Structural Dynamics; Author: structurefree;https://www.youtube.com/watch?v=BkgzEdDlU78;License: Standard Youtube License