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In this video we will do modelling of a spring mass damper system in Scilab xcos software, which is a free open source software and is an alternative to MATLAB simulink.
We will understand the system dynamic equations of motions of the spring mass damper system , then simulate the system and finally see the step response for various system configurations.
This is a graphical format for input into the xcos simulation. Xcos is a graphical tool where you can build dynamic system models and can validate the behavior of these systems.
In this video, we will understand the equations of a spring-mass-damper system. We will look into control system equations both in time domain and in s-domain. This type of system has a spring and a damper attached to a mass M. The spring has a stiffness k and the damper has a damping coefficient of f sub v.We will look at the transfer function of the system and then two other forms of the equations.
We will also look at what are the four possible time responses of a second order system. These are undamped, critically damped, over damped and under damped responses for a step-input.
Then we will learn how to make a graphical representation of the system using its dynamic equation of motion. This graphical representation will be one-step forward towards making the simulation in Xcos. This graphical representation has acceleration at the centre of our interest and then we will see how by adding two integrators and three gains, we can represent the spring-mass-damper system in a graphical manner.
Finally we will use the graphical interface of Scilab called xcos to make the model of the system.Xcos provides us many useful pallets which we will use to build and simulate the model.
These pallets include a step function which is one of the source pallets, a display that is one of the sink pallets, a clock which is one of the event handling pallets. We will also use gain and MUX pallet of Xcos software. We will display the step input as well as the output of the system on xcos display.
We will then test the simulations by using various values of spring constant, damping coefficient and the mass of the system. These values will be chosen intelligently so that we could be able to see all the four types of responses of the second-order system.
#xcos #Scilab #Scilabtutorials #scilabcourse Scilab is a numerical computational software.
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