Introduction to the Theory of Stability
Introduction to the Theory of Stability
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DOI：
10.1007/978-1-4612-4046-4
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
D. R. Merkin
中科院分区：
文献类型：
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作者：
D. R. Merkin
许多关于运动稳定性理论的书籍已经以多种语言出版，包括英语。其中大多数都是综合性专着，每一本都专门讨论一个单独的复杂理论问题。一般来说，这类书中包含的例子从数学的角度来看非常有趣，但不一定有太大的实用价值。通常，它们是用复杂的数学语言编写的，因此除了极少数情况外，它们的内容对于工程师、研究人员、学生，有时甚至是技术大学的教授来说都难以理解。本书仅讨论解决科学和技术问题时最常遇到的运动稳定性问题。这使得作者能够以简单但严谨的方式解释该理论，而无需深入研究只有专家才会感兴趣的细节。此外，他还使用适当的例子演示了从问题的提出到获得扰动运动的微分方程以完成分析和建议来研究运动稳定性的过程。大约四分之一的例子来自科学技术的各个领域。此外，一些例子和问题具有独立的价值，因为它们可以适用于各种机制和设备的设计。本译本基于 1987 年第三版俄文版。
Many books on stability theory of motion have been published in various lan guages, including English. Most of these are comprehensive monographs, with each one devoted to a separate complicated issue of the theory. Generally, the examples included in such books are very interesting from the point of view of mathematics, without necessarily having much practical value. Usually, they are written using complicated mathematical language, so that except in rare cases, their content becomes incomprehensible to engineers, researchers, students, and sometimes even to professors at technical universities. The present book deals only with those issues of stability of motion that most often are encountered in the solution of scientific and technical problems. This allows the author to explain the theory in a simple but rigorous manner without going into minute details that would be of interest only to specialists. Also, using appropriate examples, he demonstrates the process of investigating the stability of motion from the formulation of a problem and obtaining the differential equations of perturbed motion to complete analysis and recommendations. About one fourth of the examples are from various areas of science and technology. Moreover, some of the examples and the problems have an independent value in that they could be applicable to the design of various mechanisms and devices. The present translation is based on the third Russian edition of 1987.