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. Chapter 16 Structural Dynamics Learning Objectives To develop the beam element lumped and consistent mass matrices. To illustrate the determination of natural frequencies for beams by the finite element method. To develop the mass matrices for truss, plane frame, plane stress, plane strain, axisymmetric, and solid elements.
Structural Dynamics Dynamics of a Spring-Mass System The standard form of the equation is: The above equation is a second-order linear differential equation whose solution for the displacement consists of a homogeneous solution and a particular solution. The homogeneous solution is the solution obtained when the right-hand-side is set equal to ...
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