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SOUTHAMPTON SOLENT UNIVERSITY
WSMSE
(AUTOMATION & CONTROL LABORATORY)
DYNAMIC MECHANICAL SYSTEM ANALYSIS USING MATLAB & SIMULINK
(SIMLAB2)
Table of Contents
Introduction:    3
Results & Analysis:    4
Code:    7
Calculations    8
Discussion:    12
Conclusion:    12
References:    12
Introduction:
Operating a framework on the basis of time is called a time domain analysis. Its examination must be connected when the nature of contribution and scientific model of the control framework is available. Communicating fundamental info signals isn't a simple undertaking and can't be controlled by straightforward conditions. So as to pass judgment on the working and conduct of a framework, both standard and normal test signals can be used. An input signal shows attributes like steady quickening, consistent speed, an abrupt change or an unexpected stun. We need to examine impulse, step, ramp, and parabolic, which are the four main types of test signals.
When the input-yield condition exists as a second order differential condition, it is called Second Order System.
The transfer function of a second order control system is generally represented by the following function

Where ζ is the damping ratio and W is the natural frequency.
Second order frameworks are vital due to their basic and display motions and overshoot and the dependency of higher request frameworks. In the event of mechanical second request frameworks, vitality is used as idleness; whereas if there is an occurrence of electrical frameworks, vitality can be moved to a spring or damper (Cannon 1967).
LTI frameworks have the critical property that in the event that the contribution to the framework is sinusoidal, at that point the yield will likewise be sinusoidal with a similar recurrence as the information, yet with potentially unique extent and stage. These size and stage contrasts are an element of recurrence and catch what is known as the recurrence reaction of the framework.
Utilizing the Laplace transform, it is conceivable to change over a framework's time-response into a recurrence space input/yield portrayal, known as the exchange work. In this manner, it likewise changes the overseeing differential condition into a mathematical condition which is regularly less demanding to investigate (Moler 2004).
The transient response of a system to a unit-step input depends on the initial conditions, but for convenience in comparing the transient-responses of various systems, it is common practice to use zero initial conditions.
Results & Analysis:
For this framework the free-body diagram...