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

Critical path method in matlab, i made graph using adjacent matrix i have t...

i made graph using adjacent matrix i have to find the critical path on that graph in matlab work can you please give me that code.

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

Splitting a column into separate arrays, I have a file to be read in matlab...

I have a file to be read in matlab which carries different columns in it. Each column has around 200000 readings in set of 2000. I want a code in a loop which gives stores each col

Calling an user-defined function from script, Calling an User-Defined Funct...

Calling an User-Defined Function from Script: Now, we will change our script which prompts the user for the radius and computes the area of a circle, to call our function cal

Linear Programming, Ft. Loudoun and Watts Bar are two large hydroelectric d...

Ft. Loudoun and Watts Bar are two large hydroelectric dams, the former upstream of the latter. The level of Watts Bar Lake must be kept within limits for recreational purposes, and

Two phase moving boundary problem, This problem description is taken from I...

This problem description is taken from Illingworth and Golosnoy [1]: For physical systems of inhomogeneous composition, di usion is often observed to cause a change of phase, even

Solution by using pdepe function, Solution by using pdepe function fu...

Solution by using pdepe function functionpdex1 m = 0; x = linspace(0,1,100); t = linspace(0,0.2,10);   sol = pdepe(m,@pdex1pde,@pdex1ic,@pdex1bc,x,t); % Ext

Mri - detecting defects in major ateries, MRI (magnetic resonance imaging) ...

MRI (magnetic resonance imaging) scanners allow doctors to now obtain complete body images for medical diagnosis purposes. The system produces scans which represent slices through

sparse storage , Compare results/performance with tridiagonal Gaussian eli...

Compare results/performance with tridiagonal Gaussian elimination solver for the problem arising from -y''=f   on (0,1) with y(0)=0=y(1). You may also need to use sparse storage an

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