Handling of Constraints in Finite-Element Response Sensitivity Analysis

In this paper, the direct differentiation method (DDM) for finite-element (FE) response sensitivity analysis is extended to linear and nonlinear FE models with multi-point constraints (MPCs). The analytical developments are provided for 3 different constraint handling methods, namely: 1) the transformation equation method; 2) the Lagrange multiplier method; and 3) the penalty function method. Two nonlinear benchmark applications are presented: 1) a 2-D soil-foundation-structure interaction system and 2) a 3-D, one-bay by one-bay, 3-story reinforced concrete structure with slabs modeled as rigid diaphragms, both subjected to seismic excitation. Time histories of response parameters and their sensitivities to material constitutive parameters are computed and discussed, with emphasis on the relative importance of these parameters in affecting structural response. The DDM-based response sensitivity results are compared with corresponding forward finite difference analysis results, thus validating the formulation presented and its computer implementation. The developments presented in this paper close an important gap between FE response-only analysis and FE response sensitivity analysis through the DDM, extending the latter to applications requiring response sensitivities of FE models with MPCs. These applications include structural optimization, structural reliability analysis, and FE model updating.

  • Availability:
  • Supplemental Notes:
    • Abstract reprinted with permission from ASCE
  • Authors:
    • Gu, Quan
    • Barbato, Michele
    • Conte, Joel P
  • Publication Date: 2009-12


  • English

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  • Accession Number: 01147460
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Dec 29 2009 3:01PM