Assume that a sinusoidal forcing function is impressed on the system shown in Fig. 1. The natural frequency is 60 Hz, and the damping ratio c/c is0.7. Calculate the amplitude ratio and time lag of the system for an input frequency of 30 Hz. Calculate these quantities if the input frequency isequal to the natural frequency. Further, compare the results with both the cases and select the desirable case with adequate justification. Note thatthe time lag is the time interval between the maximum force input and maximum displacement output.20/201the case y609-2023/03/202218b100m0218bt087-80609-2023/03/12utputA FU)-Focos cax(1)Fig. 1. Second order system subjected to harmonic forcing function$23/03-12-280609-2023/03/12-202218bt087-80609-20230609-203/12-20221861087-80609-201

Given: To find: Amplitude ratio, time lag

Answered: Assume that a sinusoidal forcing…

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

See similar textbooks

Similar questions

design a simple mass-spring-damper, indicate the values of the system, and provide an equation where the system is in a resonant state.
1. Given a SDOF of spring-mass-coulomb damping, with mass of 0.1kg, stiffness of 10N.s/m and a damping force of 0.1N is excited by a harmonic force of 1N amplitude at 1hz. Assuming steady- state condition, calculate the amplitude of vibration of the mass. How long the vibration will continue if the excitation is removeu.
Find the free-vibration response of a spring-mass system subject to Coulomb damping for the following initial conditions x(0) = 0.5 m, *(0) = 0. Data: m= 10kg, k = 200 N/m, µ = 0.5. Q1 . ...
Given an oscillator of mass 2.0kg and spring constant of 180N/m, what is the period without damping? Use numerical methods to model this oscillator with an additional friction force equal to where c is a positive damping constant. Using c=5.0, what is the new period of oscillation. What about for c=10? Assume initial position is 0.2m and initial velocity is zero. Please find the period using the position versus time plot and use the first full cycle of the motion.
Need clear writing and accurate solution For the system illustrated in Figure 3.24, w = mg = 200 lb. Impact tests show that the damped natural frequency is 63.7 Hz with 10% of critical damping. Tasks: (a) Determine the limiting value of the force magnitude f0 to keep the peak steady-state vibration amplitudes (for all values of ω) below 0.25 in. (b) Assume that m is doubled without changing c or k, and (again) determine the limiting value of the force magnitude f0 to keep the peak steady-state vibration amplitudes (for all values of ω) below 0.25 in.
Can you please show the complete solution of the image below. Thanks! Subject: Mechanical Vibration
is my answer entered correct ?
5- Please I want solution of all sub-parts by typing. Many Thanks
3. Consider an undamped SDOF system subjected to harmonic forces. An optimal TMD with damping is to be used to reduce system vibrations. Determine the minimum mass ratio of the TMD so that the maximum displacement amplitude of the structure does not exceed 5 times its static deflection. What are the optimum tuning frequency and the optimum damping ratio of the TMD?
Question (2). The following system has a block of a mass m = xykg(from your registration mUrnber), stiffness k= 12000 N/m, damping coefficient c = xy• 10 kg/s, base motion y(t)= 0.01 sin(3t), calculate the following: %3D 1 Natural frequency. 2 Base frequency. 3. Steady-state part of the response X(t) k y(1) base wW
Example-3. Determine natural frequency, damped natural frequency, damping ratio and logarithmic decrement for the system as shown: 21 Neglect mass of rod m TWwwx THEATEFNT mummi
5. A load of 5000N resulted in a static displacement of 0.05 m in a composite structure. A harmonic force of amplitude 1000 N is found to cause a resonant amplitude of 0.1 m. Find (a) the hysteresis-damping constant of the structure, (b) the energy dissipated per cyde at resonance, (c) the steady-state amplitude at one-quarter of the resonant frequency, and (d) the steady-state amplitude at thrice the resonant frequency. A. B = 0.1, AW = 314.16- cycle X = 0.010161 m, X = 0.00125 m B. B = 1.1, AW = 314.16, X = 0.010161 m, X = 0.00125 m cycle C. B = 0.1, AW = 414.16- X0.110161 m, X = 0.00225 m cycle D. B = 1.1, AW = 414.16- -,X = 0.110161 m, X = 0.00225 m cycle

SEE MORE QUESTIONS

Recommended textbooks for you

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

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

SEE MORE TEXTBOOKS