Mass and stiffness matrices, MATLAB Programming

Assignment Help:

Model the three degree of freedom system shown in Figure Q5 and solve for the displacements of the three masses due to a force of 10 N applied to the bottom mass at a frequency of 20 rad/s.

(a) First establish the 3x3 mass, stiffness and damping matrices.

(b) Use the mass and stiffness matrices to evaluate the three undamped natural frequencies of the system and associated mode shapes. The mode shapes must be normalised so that the largest value in the vector is 1. (It is recommended that you use MATLAB for this analysis.)

(c) Use the mode shapes to find the principal masses, principal stiffnesses, and damping factors for the three modes.

(d) Hence find the response of the three masses by modal superposition, i.e. the displacement amplitudes.

2337_displacement amplitudes.png


Related Discussions:- Mass and stiffness matrices

write a matlab program to generate and plot the signal, 1.      Write a MA...

1.      Write a MATLAB program to generate and plot the signal                                     x1(n) = [3 2 -2 0 7],  n = 0,1,2,3,4. 2.      Write a MATLAB program to gen

3-A-Day, Savannah says that the least common multiple of 4 and 6 is 24. Is ...

Savannah says that the least common multiple of 4 and 6 is 24. Is she right or what is her mistake?

Determine the ball temperature , In the manufacturing of ball bearings, the...

In the manufacturing of ball bearings, the components, such as the ball, are hardened through a process of heating and then rapid cooling or "quenching" by submersion in an oil or

Example of referring elements, Example of Referring elements: the vect...

Example of Referring elements: the vector can also be extended. For illustration, the following generates a vector which has three elements. And then referring to the fourth e

Matrices of random numbers, Matrices of random numbers: The Matrices o...

Matrices of random numbers: The Matrices of random numbers can be generated using the rand and randint functions. The first two arguments in the randint function identify the

Mod function, how to reverse the digits of positive number by using mod fun...

how to reverse the digits of positive number by using mod function?

Robot, How to simulate a robot

How to simulate a robot

If-else statement, The IF-ELSE Statement: The if statement selects whe...

The IF-ELSE Statement: The if statement selects whether an action is executed or not. Selecting between the two actions, or selecting from numerous actions, is accomplished by

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd