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

Relational expressions, Relational Expressions: The Conditions in if s...

Relational Expressions: The Conditions in if statements use expressions which are theoretically, or logically, either true or false. These expressions are termed as relational

Illustration of for loop, illustration of for loop: illustration, to p...

illustration of for loop: illustration, to print a column of numbers from 1 to 5: for i = 1:5 fprintf('%d\n',i) end   This loop can be entered in the Command Wi

Rc phase shift oscillater, design a rc phase shift oscillator for a particu...

design a rc phase shift oscillator for a particular frequency of oscillation and generate a sinusoidal signal

Colon operator, The Colon Operator: If the values in the vector are re...

The Colon Operator: If the values in the vector are regularly spaced, the colon operator is used to iterate through these values. For illustration, 1:5 results in all the inte

Population pyramid, I want to write a function in matlab which gives me a p...

I want to write a function in matlab which gives me a population pyramid bar chart. could you please help me do this.

Null basis and range basis, You will write functions • B=null basis(A,tol);...

You will write functions • B=null basis(A,tol); • B=range basis(A,tol); The function null basis takes a matrix A as input, and outputs a basis for the null space of A, obtained via

Define a function, Define a function: The radius of a circle is passed...

Define a function: The radius of a circle is passed to the function to input argument  rad; the function computes the area of this circle and stores it in the output argument

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