Mathematical Modeling of mehanic system

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Jan Vidlak
Jan Vidlak on 18 Jan 2021
Commented: Jan Vidlak on 18 Jan 2021
Hi i am modeling this mehanical system and i dont know if that is correct. If it is how to draw the block diagram on paper and simulatic scheme in Simulink?

Accepted Answer

Sam Chak
Sam Chak on 18 Jan 2021
If and , then from the correct free body diagram of the two masses, the sum of forces can be written as follow:
,
.
Combining the kinematics and these two equations of motion into a single matrix equation yields
From here, you should be able to rewrite the matrix equation into the state-space model with A, B, C, D matrices. In Simulink, you can implement the linear state-space system using the state-space block.

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