(More notes from Professor Terje Haukaas at terje.civil.ubc.ca.)

References

Bebamzadeh, A, and T Haukaas. 2008. “Second-Order Sensitivities of Inelastic Finite-Element Response by Direct Differentiation.” Journal of Engineering Mechanics 134 (10): 867–80.
Breitung, Karl. 1984. “Asymptotic Approximations for Multinormal Integrals.” Journal of Engineering Mechanics 110 (3): 357–66.
Cornell, C Allin. 1969. “A Probability-Based Structural Code.” American Concrete Institute, Title No. 66-85 66: 974–85.
Der Kiureghian, Armen. 2022. Structural and System Reliability. Cambridge University Press.
Der Kiureghian, Armen, and Mario De Stefano. 1991. “Efficient Algorithm for Second-Order Reliability Analysis.” Journal of Engineering Mechanics 117 (12): 2904–23.
Ditlevsen, Ove. 1979. “Narrow Reliability Bounds for Structural Systems.” Journal of Structural Mechanics 7 (4): 453–72.
Hasofer, Abraham M, and Niels C Lind. 1974. “Exact and Invariant Second-Moment Code Format.” Journal of the Engineering Mechanics Division 100 (1): 111–21.
Haukaas, Terje. 2024. “Exact Sensitivity of Nonlinear Dynamic Response with Modal and Rayleigh Damping Formulated with the Tangent Stiffness.” Journal of Structural Engineering 150 (3).
Liu, Pei-Ling, and Armen Der Kiureghian. 1986. “Multivariate Distribution Models with Prescribed Marginals and Covariances.” Probabilistic Engineering Mechanics 1 (2): 105–12.
Saadatmand, Fatemeh. 2024. “Sensitivity Studies in Nonlinear Dynamic Finite Element Analysis.” Master’s thesis, University of British Columbia.
Zhang, Yan, and Armen Der Kiureghian. 1993. “Dynamic Response Sensitivity of Inelastic Structures.” Computer Methods in Applied Mechanics and Engineering 108 (1-2): 23–36.