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. 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.

We will include discussion of the stress analysis of the one-dimensional bar, beam, truss, and plane frame. Structural Dynamics Introduction We will provide the basic equations necessary for structural dynamic analysis and develop both the lumped-and the consistent-mass matrices involved in the analyses of a bar, beam, truss, and plane frame.

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  Analysis, Stress, Dimensional, Panels, Stress analysis

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