ks) 1. The displacement at any time (t) for forced vibration in the absence of a damping force and under a resonance case (wo = w ), can be determined from the following equation: Fo t sin wot 2mwo x(t) = c1 cos wo t+ c2 sin wot+ d²x 2. The system dt2 dx -3+ 4x = 0 is critically damped dt

ks) 1. The displacement at any time (t) for forced vibration in the absence of a damping force and under a resonance case (wo = w ), can be determined from the following equation: Fo t sin wot 2mwo x(t) = c1 cos wo t+ c2 sin wot+ d²x 2. The system dt2 dx -3+ 4x = 0 is critically damped dt

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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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.

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