CAJ | 학술논문

文中给出了多次随机载荷下结构动态可靠性预测的概率密度演化方法。首先利用一次作用载荷的概率分布函数，求得多次作用载荷的概率密度函数。在考虑结构承受多次随机载荷作用下结构强度退化和不退化的情况下，根据应力-强度干涉理论和概率密度演化方法，建立了结构的动态可靠度预测模型。应用向前差分方法求解该模型中的概率密度演化微分方程，获得任意时刻结构强度裕度的概率密度函数，进而再利用积分方法获得结构动态可靠度的预测结果。最后通过两个算例表明，该方法实用易行，且具有较高的计算精度。
문중급출료다차수궤재하하결구동태가고성예측적개솔밀도연화방법。수선이용일차작용재하적개솔분포함수，구득다차작용재하적개솔밀도함수。재고필결구승수다차수궤재하작용하결구강도퇴화화불퇴화적정황하，근거응력-강도간섭이론화개솔밀도연화방법，건립료결구적동태가고도예측모형。응용향전차분방법구해해모형중적개솔밀도연화미분방정，획득임의시각결구강도유도적개솔밀도함수，진이재이용적분방법획득결구동태가고도적예측결과。최후통과량개산례표명，해방법실용역행，차구유교고적계산정도。
The probability density evolution of the structural dynamic prediction models under several times random loads are presented. The probability density of several times stochastic loads can be obtained by the probability density of a time stochastic load. The prediction models of the structural reliability from the time response under several times stochastic loads with the strength degeneration and without degeneration over time are constructed by using the stress-strength interference theory and probability density evolution method. The differential equation in the models can be solved by using the forward differential method. The probability density functions of the structural strength redundancy in any time can be obtained. The struc-tural dynamic prediction reliability can be obtained by using integral method. Finally, the two given exam-ples show that this method is practicable, feasible and more accurately.