image thumbnail

Modal Analysis with Galerkin's Method

version 1.0.0.0 (1.23 MB) by Dr. Redmond Ramin Shamshiri
Modal analysis for a 2DOF suspension system with Galerkin's method over "ne" individual elements

697 Downloads

Updated 02 Dec 2013

View License

The purpose of this program is to perform modal analysis for a two-degrees of freedom tractor suspension system. Galerkin's method over "ne" individual elements of time domain [t1,t2], was used to numerically solve the two uncoupled resulting 2nd-oder ODEs.

Original suspension model:
M*d2x+B*dx+K*x=0, t1<t<t2
where x=[xs,xw]
BC:
xs(t1 )=xs1 , xs(t2 )=xs2,
xw(t1 )=xw1 , xw (t2)=xw2

Modal equations:
d2(Etta1)+Bg_diag(1,1)*d(Etta1)+(Omega1^2)*(Etta1)=0
d2(Etta2)+Bg_diag(2,2)*d(Etta2)+(Omega2^2)*(Etta2)=0
Boundary conditions in modal coordinates:
Etta1=Fi1'*M*xs
Etta2=Fi2'*M*xs
BC=[Etta1 Etta2]

The output of this program:
1- The solution of Etta1(t), Etta1'(t), Etta1"(t)
2- The solution of Etta2(t), Etta2'(t), Etta2"(t)

Cite As

Dr. Redmond Ramin Shamshiri (2021). Modal Analysis with Galerkin's Method (https://www.mathworks.com/matlabcentral/fileexchange/44535-modal-analysis-with-galerkin-s-method), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2010a
Compatible with any release
Platform Compatibility
Windows macOS Linux

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Modal_Analysis_with_Galerkin_Method/