DtN-based mixed-dimensional coupling in aerospace structures

Yoav Ofir, Daniel Rabinovich, Dan Givoli

Research output: Contribution to conferencePaperpeer-review

Abstract

A new computational approach for the mixed-dimensional modeling of time-harmonic waves in elastic aerospace structures is proposed. A two-dimensional (2D) structure is considered, which includes a part that is assumed to behave in a one-dimensional (1D) way. The 2D and 1D structural regions are discretized by using 2D and 1D Finite Element (FE) formulations. The hybrid model, if designed properly, is much more efficient than the standard 2D model taken for the entire problem. One important issue related to such hybrid 2D-1D models is the way the 2D-1D coupling is done, and the coupling error generated. Here, three closely-related coupling methods are considered - the DtN method, the CML method and an Iterative DtN technique. They are all based on the Dirichlet-to-Neumann (DtN) map associated with the 1D problem, on the interface. Direct application of these three methods results in low accuracy, as a recent study shows. Therefore, these methods are used here in conjunction with a Boundary Stress Recovery (BSR) technique, originally proposed by Hughes, which provides the same order of accuracy for the stress as for the primary variable. The performance of the three methods is demonstrated and they are compared via numerical examples. Conclusions are drawn on their relative merit.

Original languageEnglish
StatePublished - 2017
Event57th Israel Annual Conference on Aerospace Sciences, IACAS 2017 - Tel Aviv and Haifa, Israel
Duration: 15 Mar 201716 Mar 2017

Conference

Conference57th Israel Annual Conference on Aerospace Sciences, IACAS 2017
Country/TerritoryIsrael
CityTel Aviv and Haifa
Period15/03/1716/03/17

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering

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