Time-dependent failure possibility-based design optimization (T-PBDO) can provide the balance between the optimal performance and the safety requirements under the fuzzy uncertainty. However, there lacks efficient methods to solve the T-PBDO model. In this paper, a time-dependent sequential optimization and possibility assessment method (T-SOPA) is proposed to solve T-PBDO efficiently and accurately. By introducing an equivalent transformation of the constraint defined by the target time-dependent failure possibility (TDFP), the proposed T-SOPA method divides T-PBDO into some iteratively sequential cycles. Each cycle of the T-SOPA includes two steps: the equivalent deterministic optimization and the inverse TDFP assessment with respect to the target TDFP, and these two steps in T-SOPA are executed independently, i.e., the deterministic optimization and the inverse TDFP assessment are completely decoupled from each other in one cycle. The number of sequential cycles for achieving the convergent solutions of the design parameters is greatly reduced in the proposed T-SOPA due to the decoupling strategy, and the inverse TDFP assessment completed by the single-loop optimization can help improve the computational efficiency of the T-SOPA. A numerical example and three engineering examples are introduced to verify the effectiveness of the proposed T-SOPA. The results show that the proposed T-SOPA is accurate and efficient.

基于时间的基于故障可能性的设计优化（T-PBDO）可以在模糊不确定性下提供最佳性能和安全要求之间的平衡。但是，缺乏解决T-PBDO模型的有效方法。为了有效，准确地解决T-PBDO问题，提出了一种基于时间的顺序优化和可能性评估方法（T-SOPA）。通过引入由目标时间相关故障可能性（TDFP）定义的约束的等效变换，所提出的T-SOPA方法将T-PBDO划分为一些迭代的顺序循环。T-SOPA的每个周期包括两个步骤：相对于目标TDFP的等效确定性优化和TDFP逆评估，并且T-SOPA中的这两个步骤是独立执行的，即 确定性优化和TDFP逆评估在一个周期内完全相互分离。由于采用了去耦策略，在拟议的T-SOPA中大大减少了实现设计参数收敛解的顺序循环数，并且通过单环优化完成的TDFP逆评估可以帮助提高T的计算效率-SOPA。数值实例和三个工程实例被引入以验证所提出的T-SOPA的有效性。结果表明，所提出的T-SOPA是准确有效的。由于采用了去耦策略，在拟议的T-SOPA中大大减少了实现设计参数收敛解的顺序循环数，并且通过单环优化完成的TDFP逆评估可以帮助提高T的计算效率-SOPA。数值实例和三个工程实例被引入以验证所提出的T-SOPA的有效性。结果表明，所提出的T-SOPA是准确有效的。由于采用了去耦策略，在拟议的T-SOPA中大大减少了实现设计参数收敛解的顺序循环数，并且通过单环优化完成的TDFP逆评估可以帮助提高T的计算效率-SOPA。数值实例和三个工程实例被引入以验证所提出的T-SOPA的有效性。结果表明，所提出的T-SOPA是准确有效的。