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• W1041740312 abstract "The paper is devoted to uniform formulation of non-linear sensitivity analysis in regular and critical states. It is adapted to finite element method and presented in a matrix form on the level of the finite element. The first and second order design sensitivities of displacement fields and of their discretized functionals in regular states are considered for geometrically non-linear structures, especially for trusses and frames. The design parameters are classified into two groups, namely dimensional or material parameters and configuration parameters. The direct and adjoint methods are used here. Also first and second order sensitivity analysis of limit and bifurcation points with respect to cross-sectional and configuration parameters is studied in the paper. For the bifurcation point the effect of normal forces redistribution for the pre-buckling state is taken into account." @default.
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• W1041740312 date "2002-01-01" @default.
• W1041740312 modified "2023-09-27" @default.
• W1041740312 title "Non-linear sensitivity analysis of discrete structures" @default.
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