Determine the natural frequency of the simple spring-mass system shown. m = 2 kgk = 5 N/mm = 5000 N/mFIGURE 8.5A simple spring-mass system.

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Answered: m = 2 kg k = 5 N/mm = 5000 N/m FIGURE…

Engineering

Civil Engineering

m = 2 kg k = 5 N/mm = 5000 N/m FIGURE 8.5 A simple spring-mass system.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter6: Fundamental Dimensions And Units

Section: Chapter Questions

Problem 48P

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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

Determine the natural frequency of the simple spring-mass system shown.

m = 2 kg
k = 5 N/mm = 5000 N/m
FIGURE 8.5
A simple spring-mass system.

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