Abstract

In this paper, we propose a new formulation of the physical reliability principle and build a reliability model in the form of a system of differential equations taking into account variable loads. A load is applied to the input of the dynamic system, and a probability function of failure-free operation is formed at its output. The conditions for the equivalence of dynamic models are studied. In the presence of self-similarity of damage accumulation processes, the general dynamic model is reduced to an equivalent simplified basic dynamic model. The results obtained can be used in the theory of reliability of systems with variable loads, in the analysis of survival, and in the theory of accelerated and forced tests.

中文翻译：

---

可变载荷和加速试验下的动态可靠性模型

摘要

在本文中，我们提出了物理可靠性原理的新公式，并以考虑了可变载荷的微分方程系统的形式构建了可靠性模型。将负载施加到动态系统的输入，并且在其输出处形成无故障操作的概率函数。研究了动力学模型的等价条件。在损伤累积过程存在自相似性的情况下，一般动力学模型被简化为等效的简化基本动力学模型。获得的结果可用于可变负载系统的可靠性理论，生存分析以及加速和强制测试理论。