Modal Analysis with Galerkin's Method
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 (2024). 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
Platform Compatibility
Windows macOS LinuxCategories
- Mathematics and Optimization > Partial Differential Equation Toolbox > Domain-Specific Modeling > Structural Mechanics >
Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!Discover Live Editor
Create scripts with code, output, and formatted text in a single executable document.
Modal_Analysis_with_Galerkin_Method/
Version | Published | Release Notes | |
---|---|---|---|
1.0.0.0 |