Calculate three natural frequencies of the system, MATLAB Programming

Assignment Help:

A three degree of freedom system is shown in Figure.  The three masses are each 1 kg and are constrained to move in the directions shown.   The three stiffnesses are   5 kN/m, 50 kN/m, and 500 kN/m as shown.

(a)  Use one and two degree of freedom approximations to estimate the three natural frequencies of the system in Hz. 

(b)  Write the equations of motion of the system using matrices.

(c)  Using MATLAB or otherwise, calculate the three natural frequencies of the system and the associated mode shapes normalised on the largest value.

(d)  Find the principal stiffnesses for the system using the normalised mode shapes.

 1644_normalised mode shapes.png


Related Discussions:- Calculate three natural frequencies of the system

Vector-array multiplication in simulink, Statement of Problem I need to...

Statement of Problem I need to realise vector-array multiplication in Simulink. This has been realised in Matlab but because the process yielding the received signal is in Simu

Batch reactor, how to wriet program for batch reactor

how to wriet program for batch reactor

Filter design, IIR filter using Bilinear trasformation

IIR filter using Bilinear trasformation

Various commands for get the help, Various commands for get the help: T...

Various commands for get the help: There are various commands which can serve as an introduction to MATLAB and allow you to get the help: info will show contact informatio

Design of controller, Design a controller which regulates flow and compensa...

Design a controller which regulates flow and compensate pressure to my desire value in simscape.

Error, what is an error and its types

what is an error and its types

Customizing a plot: line types, Customizing a Plot: Line Types, Color, Mark...

Customizing a Plot: Line Types, Color, Marker Types: Plots can be completed in the Command Window, if they are really simple. Though, at many times it is desirable to customiz

DEVANAGANRI CHARACTER RECOGNITIO, RECOGNIZER and TRANSLATOR: i want to rec...

RECOGNIZER and TRANSLATOR: i want to recognized devanagari word using matlab. I have done it using template matching. but i am not get devanagari word at the output. But get speci

Write a matlab program to calculate and store, Problem of a projectile bein...

Problem of a projectile being launched at an angle of O at an initial velocity ofv. The equations for the height hand horizontallocation x as functions of time t are as follo

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

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