000 04147nam a22005055i 4500
001 978-90-481-3570-7
003 DE-He213
005 20140220084559.0
007 cr nn 008mamaa
008 100301s2010 ne | s |||| 0|eng d
020 _a9789048135707
_9978-90-481-3570-7
024 7 _a10.1007/978-90-481-3570-7
_2doi
050 4 _aTA349-359
072 7 _aTGB
_2bicssc
072 7 _aSCI041000
_2bisacsh
072 7 _aTEC009070
_2bisacsh
082 0 4 _a620.1
_223
100 1 _aKotulski, Zbigniew A.
_eauthor.
245 1 0 _aError Analysis with Applications in Engineering
_h[electronic resource] /
_cby Zbigniew A. Kotulski, Wojciech Szczepinski.
264 1 _aDordrecht :
_bSpringer Netherlands,
_c2010.
300 _aX, 270p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSolid Mechanics and Its Applications,
_x0925-0042 ;
_v169
505 0 _aBasic Characteristics of Error Distribution; Histograms -- Random Variables and Probability; Normal Distribution -- Probability Distributions and Their Characterizations -- Functions of Independent Random Variables -- Two-dimensional Distributions -- Two-dimensional Functions of Independent Random Variables -- Three-dimensional Distributions -- Three-dimensional Functions of Independent Random Variables -- Problems Described by Implicit Equations -- Useful Definitions and Facts of Probability Theory for Further Reading.
520 _aThis book presents, in the simplest possible manner, those branches of error analysis which find direct applications in solving various problems in engineering. Chapters I, II, III, and IV contain a presentation of the fundamentals of error calculus: basic characteristics of error distributions, histograms and their various applications, basic continuous distributions of errors and functions of independent random variables. In Chapter V, two-dimensional distributions of errors are discussed with applications. Fundamentals of the theory of two-dimensional continuous independent and dependent random variables are also discussed in that chapter. Then the methods of determination of the ellipses of probability concentration for the two-dimensional continuous normal distribution are given. Chapter VI deals with two-dimensional vectorial functions of independent random variables along with practical applications to the analysis of the positioning accuracy of mechanisms with two-dimensional movements. The procedure of determination of ellipses of probability concentration is also described. In Chapter VII, three-dimensional distributions of errors are considered, while Chapter VIII deals with the three-dimensional vectorial functions of independent random variables. The theory is illustrated by examples of the analysis of the positioning accuracy of robot manipulators. The examples of determining the ellipsoids of probability concentration are presented. Chapter IX contains error analysis-inspired problems that are described by implicit equations and Chapter X presents useful definitions and facts of probability theory for future readings. This book has been written for readers whose main interests are applications of error calculus in various problems of engineering. In all ten chapters much attention is paid to the practical significance of error analysis.
650 0 _aEngineering.
650 0 _aDistribution (Probability theory).
650 0 _aMechanical engineering.
650 1 4 _aEngineering.
650 2 4 _aStructural Mechanics.
650 2 4 _aMachinery and Machine Elements.
650 2 4 _aProbability Theory and Stochastic Processes.
650 2 4 _aControl, Robotics, Mechatronics.
700 1 _aSzczepinski, Wojciech.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9789048135691
830 0 _aSolid Mechanics and Its Applications,
_x0925-0042 ;
_v169
856 4 0 _uhttp://dx.doi.org/10.1007/978-90-481-3570-7
912 _aZDB-2-ENG
999 _c113384
_d113384