Abstract
Chapter 8 is devoted to three-dimensional functions of independent random variables along with applications to an analysis of a positioning accuracy of robot manipulators. Procedure of determining polyhedrons of the positioning accuracy in such cases when tolerance limits of the positioning accuracy of particular joints of the manipulator are given, is described. When the positioning accuracy of joints is random according to a normal distribution then the procedure of determining of ellipsoids of probability concentration is described. Examples of application illustrate how to proceed.
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References
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Kotulski, Z., Szczepiński, W. (2010). Three-dimensional Functions of Independent Random Variables. In: Error Analysis with Applications in Engineering. Solid Mechanics and Its Applications, vol 169. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3570-7_8
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DOI: https://doi.org/10.1007/978-90-481-3570-7_8
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