Structural Dynamics

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. • To report some results of structural dynamics problems solved using a computer program, including a fixed-fixed beam for natural frequencies, a bar, a fixed-fixed beam, a rigid frame, and a gantry crane-all subjected to time-dependent forcing functions. CIVL 7/8117 Chapter 16 - Structural Dynamics 1/85

Structural Dynamics

Documents

finite difference method

cantilever bars

onedimensional bar

beam

truss