1. Use Excel or Matlab to find the largest value of the stiffness, k that makes the transmissibility ratio less than 0.85 2. Using the value of the stiffness obtained in part (1), determine the transmitted force to the base motion system using Matlab or Excel. 3. Display and discuss your results.

1. Use Excel or Matlab to find the largest value of the stiffness, k that makes the transmissibility ratio less than 0.85 2. Using the value of the stiffness obtained in part (1), determine the transmitted force to the base motion system using Matlab or Excel. 3. Display and discuss your results.

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

Related questions

Q: A quarter car model used for the analysis of suspension dynamics is shown in Figure Q2a. To avoid…

A: To calculate the value of the tire stiffness for the quarter car model such that the hub mode occurs…

Q: Scenario A support beam is subjected to vibrations along its length, emanating from two machines…

A: Given:To find:Excel plotTime to reach - 2mm

Q: The disk in a computer hard drive spins at 7200 rpm (Figure P8.3). At the radius of 30 mm, a stream…

A: Given:The hard drive spins are the radius of the disk is the spacing between the data bits is

Q: The following EOMs describe the behavior of an electric motor attached to a torsional spring and…

Q: For an undamped system under forced vibration mä + kr = Focos(wt), match the responses to their…

Q: Find the natural frequencies of the system shown in Fig. 6.19 with m = 1 kg, != 1 m, k = 1000 N/m,…

Q: 1. Consider the equation of motion of a single degree of freedom with the forcing function as shown…

A: Total response of system at t=1 second is approximately = .004111 phase angle = 0 final answer…

Q: In class example 1.7 we found the equations of FBD and the force equations for the system shown…

A: For solution refer below images.

Q: ) Based on the vibration signal shown in Figure determine the damping ratio, natural frequency and…

Q: Q3 Assume that the 300kg trailer shown below in figure Q3 is fitted with two springs and two shock…

A: Given: m = 300 kgy = 40 mmζ=0.28ωn=10k=30000 To find: Range of driving speeds

Q: 4. Your client has been advised that one of the operating systems within their facility is subject…

A: Free response of a undamped Second order system: For an undamped system,  = 0, i.e., a conservative…

Q: A quarter car model of an automotive vehicle suspension system is shown in Figure Q2 below, where k,…

A: m1=257.5kg m2=28.8kg k1=24.4kN/m k2=83.2kN/m we need to find The first system natural frequency i.e…

Q: The following is the equation of motion for forced damped vibration of a mass-damper system: mx + cx…

Q: You are designing a spring-damper vibration isolation system for a microscope (shown). Wn is a…

Q: Assume you have a 1U cubesat, which has a total mass of 2kg. It has one reaction wheel to control…

A: Given: Consider the given data, Total mass of the CubeSat, m=2 kg Mass of the reaction wheel, mw=0.2…

Q: 5 m F₂=40 N A F₁=70 N C b 2 m

A: The position vector-

Q: pen For the spring assemblage in the figure above, apply a concentrated force of 5 kips at node 2 in…

A: The value of stiffness value is The force at node 2 is

Q: A (0,8

Q: Given four series springs in a viscous damped system with a stiffness of 600 N/m, critical damping…

Q: PROBLEM3: Consider the system shown in Figure 3, where m = 70 ton and k = d) Derive the equations of…

A: This is a three degree of freedom system described by variables x1(t) x2(t) and x3(t). Mass of each…

Q: A test was undertaken to find the dynamic properties of a SDOF system. The measured transient…

Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

The governing equation of motion for a base motion system is given by (assume the
units are Newton)
mä(t)+ci(t)+kx(t) =cY@, cos(@,t) +kY sin(@t)
%3D
Given that m =
180 kg, c = 30 kg/s, Y = 0.02 m,
and
о, — 3.5 rad/s
%3|
1. Use Excel or Matlab to find the largest value of the stiffness, k that makes the
transmissibility ratio less than 0.85
2. Using the value of the stiffness obtained in part (1), determine the transmitted
force to the base motion system using Matlab or Excel.
3. Display and discuss your results.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

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

PROBLEM3: Consider the system shown in Figure 3, where m = 70 ton and k = 6000 kN/m. d) Derive the equations of motion. e) Find the natural frequencies and mode shapes of the system. f) Find the free-vibration response of the system for the initial conditions: v (0) m (2) {2} cm. = cm, v (0) Sec 00000 m k 00000 k x₂ (1) 5k 0000 Figure 3 00000 k x₂ (1) m 00000 k X3 (1)
Question 11: Figure 5 shows a lumped-parameter representation of a concept for a MEMS "tuning fork gyroscope" for measuring angular velocity. Displacements X₁, X2, and x3 are absolute positions of the respective masses and are measured from their static equilibrium positions where there is no deflection in the springs. The system friction is represented by three ideal lumped dashpot elements b₁,b2, and b3. Two external forces f₁ and f₂ are applied to masses m₁ and m₂, respectively. Derive the mathematical model of the MEMS gyroscope. x3 Leto, fi k₁ m3 k3 x1 m1 x2 m₂ f₂ b2
The following EOMS describe the behavior of an electric motor attached to a torsional spring and damper: [Li + Rz + vb = Vin(t) IÖ= k0b0 + T Importantly, the equations are coupled by the fact that 7 = k₁z and v₂ = k₂0. Here, L, R, kv, I, k, b, and kt are constants. z is the current in the motor, and is the angular displacement of the motor (clearly then, is the motor's angular velocity). Finally, the input to the system is vin (t). Your tasks: A Substituting in the coupling terms (7 = ktz and v k0) into the EOMs, write the state space form of the system x = Ax + Bu, assuming your states are x₁ = z, x₂ = 0, and x3 = 0. Clearly identify your matrices. B Assume that the desired outputs of the system (to be measured) are the current z, the angle and the input Vin all as separate elements in the vector y. Write the output equation y = Cx + Du. Hint: D will NOT be zero in this case. Clearly identify your matrices C Assume there is no stiffness to the spring (k = 0). Using w(t) to represent…
clear explanation please
Hello Sir.Good Night I have a question related Machine Vibration Lesson. The following below is my question.Please advise, Thank you so much.
8. Consider a string that has one end fixed, with the other end free to move in the vertical direction. Suppose the string is put into motion by virtue of the free end's being manually moved up and down periodically. An IBVP describing this motion is 22 at² ² u 2x² u(x,to) = 0, 0 to, ди -(x,to) = 0, 0 to, u(l,t) = € sin (2лwt), t > to. Take = 1, c= 522, to = 0, and € = 10-4. (a) Solve the IBVP with w not equal to a natural frequency of the string. Graph the motion of the string with w equal to half the fundamental frequency. (b) Solve the IBVP with w equal to a natural frequency of the string. Show that resonance occurs. Graph the motion of the string with w equal to the fundamental frequency.