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CIVL 7/8117 Chapter 16 - Structural Dynamics 1/85 Chapter 16 – Structural Dynamics Learning Objectives • To discuss the dynamics of a single-degree-of freedom spring-mass system. • To derive the finite element equations for the time- dependent stress analysis of the one-dimensional bar, including derivation of the lumped and consistent mass matrices. • To introduce procedures for numerical integration in time, including the central difference method, Newmark'smethod, and Wilson's method. • To describe how to determine the natural frequencies of bars by the finite element method. • To illustrate the finite element solution of a time- dependent bar ...
SOLUTION: FINITE ELEMENT METHOD, VII SEM, MECHANICAL ENGINEERING, SET-A Q. 1 FEM: Finite element method (FEM0 is a numerical method for solving problems of engineering that are governed by elliptical partial differential equation. Upon solving these equations, FEM gives approximate solution of the problem. Various numerical methods are used for solving these problems. Nowadays high tech packages like ANSYS, NASTRAN, ABACUS etc.. are there in market, that uses FEM to solve complex engineering problems. Applications: 1. Structural analysis: structural parts like, bar beam, truss etc.. are solved using FEM for design, testing of the product. 2. Non-structural analysis: Non-structural phenomenon ...
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