Transcription of Chapter 16 – Structural Dynamics - Memphis
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Chapter 16 – Structural Dynamics - Memphis
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's method, 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 problem.
dynamic analysis and develop both the lumped-and the consistent-mass matrices involved in the analyses of a bar, beam, truss, and plane frame. We will describe the assembly of the global mass matrix for truss and plane frame analysis and then present numerical integration methods for handling the time derivative.
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