A new formulation to calculate shakedown limit load of structures under stochastic conditions of strength and loading is developed. Direct structural reliability design is based on the required failure probabilities by chance constrained programming, which is an effective approach of stochastic programming if it can be formulated as an equivalent deterministic optimization problem.

中文翻译：

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通过随机约束编程在随机强度和随机载荷下进行直接塑料结构设计

开发了一种新的公式来计算结构在强度和荷载随机条件下的减震极限荷载。直接结构可靠性设计基于偶然机会规划，基于所需的失效概率，如果可以将其表达为等效的确定性优化问题，则这是一种随机规划的有效方法。