PROBLEMS: An SDF system is excited by a sinusoidal force. At resonance the amplitude of displacement was measured to be 5 cm. At an exciting frequency of one-tenth the natural frequency of the system, the displacement amplitude was measured to be 0.5 cm. Estimate the damping ratio of the system.

PROBLEMS: An SDF system is excited by a sinusoidal force. At resonance the amplitude of displacement was measured to be 5 cm. At an exciting frequency of one-tenth the natural frequency of the system, the displacement amplitude was measured to be 0.5 cm. Estimate the damping ratio of the system.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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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.

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PROBLEMS:
An SDF system is excited by a sinusoidal force. At resonance the amplitude of displacement was
measured to be 5 cm. At an exciting frequency of one-tenth the natural frequency of the system, the
displacement amplitude was measured to be 0.5 cm. Estimate the damping ratio of the system.

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