The New Approximate Calculation Method for the First Order Reliability

Abstract

The new method is presented for computing engineering structure reliability by direct searching the next checking point and accelerating convergence based on the analysis of errors in the center point method and borrowing ideas form the merits of the other First-Order Second Moment (FOSM) methods. The idea of the direct searching method is constructing a new explicit searching formula to make the new checking point being more closed to the failure surface based on the results of the center point method. The new checking point has steepest descent character because the searching path is the gradient of the approximate surface. An example shows that the method presented in this article has well precision. Although the direct searching formula may not reach the globally optimal point, the error can be controlled owing to the locally optimal plan at each searching step.

Factores De Amplificación De Resistencia Para El Diseño De Estructuras Con Asimetría en Fluencia

“…Uno de los principales objetivos de la Ingeniería Sísmica es estimar los niveles de confiabilidad en las estructuras considerando las posibles intensidades de los temblores que pueden ocurrir en un sitio, durante un intervalo dado de tiempo. En los lineamientos de diseño sísmico existen varios formatos basados en confiabilidad (Ruiz, 2006), por ejemplo: a) semi-probabilístico (Rosenblueth, 1972), b) primer orden y segundos momentos (FOSM) (Cornell, 1969;Hao et al, 2013), c) diseño por factores de carga y resistencia (LRFD) (Galambos y Ravindra, 1973; Basha y Babu, 2014), d) los basados en un análisis de riesgo sísmico (Cornell, 1996;Cornell et al, 2002;Montiel y Ruiz, 2007;Baker y Gupta, 2016;Bradley et al, 2015) y e) los basados en optimización (Frangopol, 1985;Esteva, 1980;Miller y Baker, 2015). En el presente estudio, la confiabilidad estructural se evalúa por medio de un formato basado en un análisis de riesgo sísmico.…”

On the Seismic Design of Structures with Tilting Located within a Seismic Region

“…There are several methods in the literature to estimate the reliability of structures. For example: (a) the semi-probabilistic [24], (b) first order and second moments (FOSM) [25][26][27], (c) load and resistance factors design (LRFD) format [28,29], (d) those based on seismic hazard or risk analysis [30][31][32][33][34], and (e) those based on optimization [35][36][37][38]. In the present study, the structural reliability is evaluated by means of seismic hazard analysis.…”