Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, December 4, 2015 - 12:00 to 13:00

Location:

GLK 115

Event Link:

Guest Speaker:

Institution:

OSU Civil and Construction Engineering

Abstract:

This study presents a hybrid-mixed stress model for the dynamic analysis of structures. In this model, both the stress and the displacement fields are approximated in the domain of each Element, while the Dirichlet boundary conditions are also imposed in a weighted residual form. While different approximation functions can be used in this framework, in this presentation the orthonormal Legendre polynomials are selected as approximation functions, as the selection of these functions enables the use of analytical closed form solutions for the computation of all structural operators, which leads to the development of very effective \emph{p-}refinement procedures. The model being discussed is applied to the solution of frame structures, plane elasticity, and Reissner-Mindlin plate bending problems. To validate the model and to illustrate its potential, several numerical examples are discussed and comparisons are made with analytical solutions and solutions obtained using other numerical techniques, such as modal superposition and Newmark time integration.