Find the variation of the displacement with time, (x(t)), of a damped single-degree-of-freedom system with (zeta=0.1) for

Question:

Find the variation of the displacement with time, \(x(t)\), of a damped single-degree-of-freedom system with \(\zeta=0.1\) for the following initial conditions:

a. \(x(t=0)=x_{0}=0.2 \mathrm{~m}, \dot{x}_{0}=0\)

b. \(x(t=0)=x_{0}=-0.2 \mathrm{~m}, \dot{x}_{0}=0\)

c. \(x_{0}=0, \dot{x}_{0}=0.2 \mathrm{~m} / \mathrm{s}\)

d. Plot the variations of displacement found in parts (a), (b), and

(c) on the same graph in the range of 0 to \(5 \mathrm{~s}\).

Step by Step Answer:

Related Book For  book-img-for-question

Mechanical Vibrations

ISBN: 9780134361925

6th Edition

Authors: Singiresu S Rao

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