Second order responses 11 - tutorial on over damped step responses
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Description
Tutorial questions on the computation of step responses, for zero initial condition, for over damped 2nd order systems. Uses time domain and Laplace methods. Includes a few examples on the use of approximation for very over damped systems. Includes worked solutions.
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An introduction to the step response of a 2nd order system with complex poles and zero initial conditions using Laplace techniques. Includes illustrations on numerical examples.
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Tutorial on the computation of responses for under damped 2nd order systems, using Laplace and time domain methods. Includes worked solutions.
Published 04/09/14
Beginning from the standard form for 2nd order models using damping ratio and natural frequency, considers how the frequency of oscillation and overshoot depend upon the damping ratio (assumed less than one). Uses zero initial conditions.
Published 04/09/14