Question

Objective: This activity has the purpose of helping students to to use either Simulink or VisSim to simulate the system behavior based on its Block Diagram representation and plot its response. Student Instructions: The following spring-mass-damper system has no external forcing, that is u(0)-0. At time t- 0 it has an initial condition for the spring, which it is distended by one unit: y(0)-1. The system will respond to this initial condition (zero-input-response) until it reaches equilibrium. 0)1initial condition for displacement esternal no friction M-1.5 slugs B-40(b-secyft K-150lbift Follow similar example 4.4 (Module 8) where instead of y, in this exercise we use x to denote displacement, and where instead of having an external forcing, in this exercise the external forcing is zero; u(t) 0 but with an initial displacement condition, y(0) 1, which is driving the system until it reaches equilibrium. Required Project/Report Parts: 1. Develop and use a free body diagram to write the system differential equation. 2. Sketch a Block Diagram realization of the system Model the previous Block Diagram system representation in VisSim or Simulink noting that it does not have an external forcing function (uin(t) 0) but it has an initial condition for the displacement (y(0) 3. block 4. Plot the displacement y(t) and the velocity dy(0)/dt of the system with time. Perform a Phase-Plane plot (velocity versus displacement) s. o. Verify that at 1.75 seconds the displacement is about x - 0.0067754 7. Verify that at 1.8 seconds the displacement is about x 0.037855

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Answer 1

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Function Block Parameters: Integrator1 Integrator Continuous-time integration of the input signal. Parameters External reset: none Initial condition source: internal Initial condition: Limit output Upper saturation limit: inf Lower saturation limit: -inf Show saturation port Show state port OK Cancel Help Apply

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