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- W2019998922 abstract "To expand the scope of accurate and efficient gradient-based applications in structural engineering, the direct differentiation method (DDM) is applied to compute the response sensitivity of force-based frame finite elements with combined material and geometric nonlinearity where the transverse displacement field is determined by curvature-based displacement interpolation. Sensitivity is developed for element-level parameters including constitutive properties, cross-section dimensions, and integration points and weights, as well as structural-level parameters corresponding to nodal coordinates. The response sensitivity is found to be significantly more complicated than for geometrically linear force-based elements because it requires the derivative of the transverse displacement field under the condition of fixed basic forces. Finite-difference calculations verify the DDM sensitivity equations for material and geometric nonlinear force-based element response while reliability analysis of a gravity-loaded steel frame demonstrates the efficiency of the DDM sensitivity in a gradient-based application." @default.
- W2019998922 created "2016-06-24" @default.
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- W2019998922 date "2013-11-01" @default.
- W2019998922 modified "2023-10-18" @default.
- W2019998922 title "Response Sensitivity of Geometrically Nonlinear Force-Based Frame Elements" @default.
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- W2019998922 doi "https://doi.org/10.1061/(asce)st.1943-541x.0000757" @default.
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