Question: A SDOF system with a cubic nonlinearity has a linear natural frequency of (30 mathrm{rad} / mathrm{s}). At what excitation frequency does the system have

A SDOF system with a cubic nonlinearity has a linear natural frequency of $30 \mathrm{rad} / \mathrm{s}$. At what excitation frequency does the system have

(a) A primary resonance?

(b) A superharmonic resonance?

(c) A subharmonic resonance?

Step by Step Solution

★★★★★

3.44 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To determine the excitation frequencies at which the system has primary resonance superharmonic reso... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Introduction Mechanical Engineering Questions!

Explain why a superharmonic resonance occurs. A DOF system with a cubic nonlinearity has a linear natural frequency of $120 \mathrm{rad} / \mathrm{s}$. The system is forced by harmonic excitations...

What is an internal resonance in a MDOF system? A DOF system with a cubic nonlinearity has a linear natural frequency of $120 \mathrm{rad} / \mathrm{s}$. The system is forced by harmonic...

What is Feigenbaum's constant? A DOF system with a cubic nonlinearity has a linear natural frequency of $120 \mathrm{rad} / \mathrm{s}$. The system is forced by harmonic excitations at different...

Describe the Poincar section corresponding to a periodic function when the sampling interval is one-third of the period. A DOF system with a cubic nonlinearity has a linear natural frequency of \(120...

What is the signature of the Fourier transform? A DOF system with a cubic nonlinearity has a linear natural frequency of $120 \mathrm{rad} / \mathrm{s}$. The system is forced by harmonic...

$\omega_{1}$ is near $40 \mathrm{rad} / \mathrm{s}$ and $\omega_{2}$ is near $200 \mathrm{rad} / \mathrm{s}$ A DOF system with a cubic nonlinearity has a linear natural frequency of \(120...

$\quad \omega_{1}$ is near $240 \mathrm{rad} / \mathrm{s}$ and $\omega_{2}$ is near $360 \mathrm{rad} / \mathrm{s}$ A DOF system with a cubic nonlinearity has a linear natural frequency of...

$\omega_{1}$ is near $120 \mathrm{rad} / \mathrm{s}$ and $\omega_{2}$ is near $40 \mathrm{rad} / \mathrm{s}$ A DOF system with a cubic nonlinearity has a linear natural frequency of \(120...

$\omega_{1}$ is near $90 \mathrm{rad} / \mathrm{s}$ and $\omega_{2}$ is near $60 \mathrm{rad} / \mathrm{s}$ A DOF system with a cubic nonlinearity has a linear natural frequency of \(120...

$\omega_{1}$ is near $50 \mathrm{rad} / \mathrm{s}$ and $\omega_{2}$ is near $180 \mathrm{rad} / \mathrm{s}$ A DOF system with a cubic nonlinearity has a linear natural frequency of \(120...

Let (i). Write down necessary and sufficient conditions on the entries a, b, c, d that ensures that A has only real eigenvalues. (ii).Verify that all symmetric 2 2 matrices satisfy your conditions....

Should Isaac comply with Hannah request to prepare an analysis based on only $3 million sales estimation why or Why not? What guidance does the IMAs statement of ethical professional practice provide...

Help Sives Exit Submit [ The following information applies to the questions displayed below ] A company began January with 6 , 0 0 0 units of its principal product. The cost of each unit is $ 8 ....

The probability for an individual particle to have not yet decayed after a time t since its creation is given by prob(t) = e -t/ , where t is the mean lifetime of the particle. (a) What is the...

Use MATLAB to calculate a. 6 tan -1 (12.5) + 4 b. 5 tan [3 sin -1 (13/5)] c. 5 ln(7) d. 5 log(7) Check your answers with a calculator.

The Richter scale is a measure of the intensity of an earthquake. The energy E (in joules) released by the quake is related to the magnitude M on the Richter scale as follows. E = 10 4.4 10 1.5M How...

Use MATLAB to nd the roots of 13 x 3 + 182x 2 - 184x + 2503 = 0.

BioTech expects to earn $2 million per year in perpetuity if it undertakes no new investment opportunities. There are 100,000 shares outstanding. The firm will have an opportunity at Year 1 to spend...

I would like to discuss a refund. I was under the impression I cancelled my subscription in May but having checked my credit card statement noticed I was still being charged.

Identify the different types of yield curves and explain what they indicate for the U.S economy? What is the current shape of the yield curve and why is it shaped that way? No Copy And Paste Please