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Efficient generation of standard and non-standard influence functions using Generalized Beam Theory
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Resumo(s)
In structural analysis and design, influence functions (lines and surfaces) are extremely valuable for identifying the most unfavorable positions of live loads. This paper introduces a computationally efficient method for calculating non-standard influence functions using Generalized Beam Theory (GBT), a thin-walled beam theory that allows cross-section deformation by means of hierarchical and structurally meaningful “cross-section deformation modes”. Consequently, the proposed method enables not only the calculation standard influence functions (for displacements, support reactions and stress resultants), but also those pertaining to higher-order cross-section deformation (torsion, distortion, plate bending, etc.), their strains, stress resultants and mode amplitudes. The computational cost of the procedure is equivalent to that of a single linear analysis of the structure and its implementation is straightforward. Several illustrative examples are presented to show the capabilities of the proposed method.
Descrição
Funding Information:
The second and third authors are grateful for the Foundation for Science and Technology's support through funding UIDB/04625/2020 from the research unit CERIS (DOI: 10.54499/UIDB/04625/2020).
Publisher Copyright:
© 2025 The Authors
Palavras-chave
Cross-section deformation Generalized Beam Theory Influence lines Influence surfaces Thin-walled structures Civil and Structural Engineering Architecture Building and Construction Safety, Risk, Reliability and Quality