Abstract

We consider the problem of assessing the reliability indicators of spacecraft described by the “load–strength” model under conditions of incomplete data presented by the moments of distribution of quantities characterizing “strength” and “load,” with the latter values being the radiation resistance of the spacecraft and the factors of space acting on the spacecraft. This problem is reduced to the problem of finding the extremum of a certain integral with equality constraints; its solution is obtained in a general form. For cases when one or two moments of distribution of “strength” and “load” values are known, reliability estimates are obtained in an analytical form. This paper is a further development and refinement of the results obtained in the work of the authors [16], in relation to such objects of research as spacecraft.

中文翻译：

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不完全数据条件下航天器可靠性指标评估

摘要

我们考虑在表征“强度”和“载荷”的量的分布矩所呈现的数据不完整的情况下评估“载荷-强度”模型描述的航天器可靠性指标的问题，后者的值为辐射电阻航天器和作用于航天器的空间因素。这个问题被简化为求一个具有等式约束的积分的极值的问题；其解以一般形式获得。对于已知“强度”和“载荷”值的一两个分布矩的情况，以分析形式获得可靠性估计。本文是对作者 [16] 工作中获得的结果的进一步发展和改进，涉及航天器等研究对象。