Can I Use a Non-Symmetrical Matrix in Simulink for My 2 DOF Vibration System?

AI Thread Summary
Using a non-symmetrical matrix in Simulink for a 2 DOF vibration system raises concerns, particularly when the system's equations suggest a need for symmetry. The user is struggling to create a working schematic block in Simulink, specifically with the terms CaS + Ka. They attempted to multiply the blocks but encountered infinite results due to a mistake in the return block's sign. It is crucial to ensure that the matrix structure aligns with the system's physical properties to avoid computational issues. Properly addressing these matrix characteristics is essential for accurate simulation results.
Karimh
Messages
2
Reaction score
0

Homework Statement


I have the following system, I believe I've correctly established the equations. I'm having trouble building a working schematic bloc in Simulink.
upload_2017-6-8_2-0-17.png


Homework Equations


upload_2017-6-8_2-7-5.png


The Attempt at a Solution


In the following equations Ktrain = Ka and Ctrain = Ca

upload_2017-6-8_2-5-17.png

I know my matrix should be symmetrical but isn't because of Y(S), is it okay to proceed in this fashion when the situation requires it?

The resulting schematic bloc
upload_2017-6-8_2-7-49.png


I don't know how to use CaS+Ka in simulink so I attempted to simply multiply the 1st and second bloc. The result always end up being infinite to any input of Y(S)
 
Physics news on Phys.org
Silly mistake the return block shouldn't have been negative
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Equations of motion of a 2-DoF Free damped vibration system
Replies
7
Views
2K
How to Solve a Mixed 2 DOF Vibration Problem with Incorrect Free Body Diagram?
Replies
3
Views
2K
Matrix representation of a quantum system
Replies
3
Views
1K
Could someone please check my Simulink Diagram
Replies
2
Views
2K
Normal Modes and Normal Frequencies
Replies
6
Views
2K
Entropy in system of non-degenerate atoms
Replies
1
Views
2K
Interpreting a system matrix (optics)
Replies
1
Views
1K
What is the most general solution for a 2-DOF system?
Replies
5
Views
3K
B What Does Skew Symmetry Imply for One-Dimensional Systems?
Replies
3
Views
2K
Engineering How do I find the transition matrix of this dynamic system?
Replies
18
Views
3K

Hot Threads

Recent Insights

Back
Top