Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, January 25, 2019 - 12:00 to 13:00

Location:

STAG 110

Event Link:

Guest Speaker:

Institution:

Oregon State Structural Engineering

Abstract:

Material and geometric nonlinear frame finite elements are used to simulate the response of buildings and bridges to extreme loading. To track structures beyond their peak load carrying capacity, it is necessary to simulate the response under large displacements. There is, however, significant uncertainty in the structural response due to material properties and the algorithms used in the element state determination. Quantifying this uncertainty for three-dimensional frame structures undergoing large displacements is complex due to the non-vectorial nature of rotations in space. The direct differentiation method (DDM) is applied to the corotational transformation, which approximates rotations in three-dimensions, in order to quantify the sensitivity of the structural response to modelling parameters. Verification examples show that the analytic equations for the DDM are correct when compared to finite difference calculations of the response sensitivity and applications to structural reliability are presented.