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The formulas of the pseudo responses, their first and second derivatives with respect to the structural design variables are derived based on the Newmark method.
These independent variables are derived from the first stage model.
Explicit expressions for all static and kinematic variables are derived.
The situational variables are derived by a systematic approach [15, 16].
The surface topographical variables are derived from the ASTER Global DEM.
Thus, the equations for the state variables are derived based on the Hamiltonian equation of motion.
Similar(5)
FONC for the other variables were derived using the same procedure.
A second-order empirical relationship between the response and independent variables was derived.
The sensitivity of the dynamic response reliability index with respect to the design variables is derived.
Second-order empirical equations with high R2 (0.989–0.996) between the responses and independent variables were derived.
For 1D wave fields, an exact formulation based on quadratic variables is derived.
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