Reliability of Structural Systems

现有的结构体系可靠性分析方法主要是基于失效模式法（FMA）。FMA的缺点限制了其更广泛的应用。为了促进可靠性理论在实际结构中的应用，将开发和扩展替代方法，特别是基于最近提出的稳定配置方法（SCA）。还将研究和开发实际用途所需的SCA近似方法。连续系统的可靠性需要与离散系统（例如，通过有限元）相关联的随机方法；为此，我们将研究伽辽金公式及其在随机有限元中的推广。多处理器超级计算机的蒙特卡罗算法将发展成为大规模系统可靠性评估的实用工具。

The available methods for reliability analysis of structural systems are primarily based on the on the failure mode approach (FMA). Shortcomings of the FMA limit its wider applications. To facilitate the implementation of reliability theory to practical structures, alternative methods, based particularly on the recently proposed stable configuration approach (SCA) will be developed and extended. Approximations to the SCA that are necessary for practical purposes will also be investigated and developed. The reliability of continuous systems requires stochastic methods associated with discretized systems (e.g., by finite elements); a Galerkin formulation and its extension to stochastic finite elements will be examined for this purpose. Monte Carlo algorithms for multi-processor supercomputers will be developed as a practical tool for large-scale system reliability evaluations.