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This work describes the following four kinds of dynamic optimization problems applied to mechanisms and their solution by using the spectral theory of random processes: (1) In a mechanism, a layout is given where the elements oscillate due to their dynamic properties. One has to choose such parameters of the system that will insure the minimum vibrations of the most important elements. (2) In the second case, there is a mechanism for which it is necessary to choose the parameters so as to insure the minimum of deviation from the desired motion of a link. (3) The third problem deals with a mechanical system where a transfer function is given. This function insures motion X//2 at the mechanism's output when input is motion X//1. One has to find a new transfer function (i. e. , layout of the mechanism) which will insure a minimum deviation at the output, when in addition to motion X//1, there is also motion DELTA X at the input. (4) In this case, the possibility is envisioned of achieving output motion (with minimal errors) in some mechanisms, without increasing the accuracy of the production of the elements. It is suggested to achieve this effect by the redistribution of the spectral density of the input deviations. Some examples of applications of the problems in machine building are given.

Original languageEnglish
Pages (from-to)160-168
Number of pages9
JournalIsrael Journal of Technology
Issue number3-4
StatePublished - 1 Jan 1974

ASJC Scopus subject areas

  • General Engineering


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