In an undamped free vibration of single degree of freedom, the initial displacement and velocity are 0.01 m and 0.50 m/s respectively. The natural frequency is 5 rad/sec. The amplitude of vibration is

In an undamped free vibration of single degree of freedom, the initial displacement and velocity are 0.01 m and 0.50 m/s respectively. The natural frequency is 5 rad/sec. The amplitude of vibration is

Sustainable Energy

2nd Edition

ISBN:9781337551663

Author:DUNLAP, Richard A.

Publisher:DUNLAP, Richard A.

Chapter12: Wave Energy

Section: Chapter Questions

Problem 9P

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FEA for Dynamic Problems

Finite element analysis or FEA is a computational tool that evaluates the approximate solution for a particular engineering problem. The tools provided by FEA help to evaluate the solutions of partial differential equations (PDEs) computationally following a numerical approach. Solutions of the PDEs can also be performed by following traditional algebraic approaches, but when the problem gets towards the complex side, it becomes very tedious and almost impossible to arrive at the solutions. In such cases, the FEA fulfills the purpose by evaluating the equations following multiple time steps and iterations. The more the time steps and iterations, the more accurate the solution. The solution plotted by FEA analysis and mathematical approaches varies asymptotically.

Question

In an undamped free vibration of single degree
of freedom, the initial displacement and velocity
are 0.01 m and 0.50 m/s respectively. The natural
frequency is 5 rad/sec. The amplitude of vibration
is

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