Error analysis with applications in engineering (Q2776772)

Most of the books in error analysis are devoted to mathematical statistics and to probability theory, and the range of applications is usually limited to problems of general statistics and to analysis of the errors in various measuring techniques. Much less attention is paid to two-dimensional and three-dimensional distributions, and almost no attention is given to the two- and three-dimensional vectorial functions of independent random variables. This book presents these branches of error analysis which find direct applications in solving various problems in engineering practice and removes the lack of such an approach in existing books dealing with the error calculus.NEWLINENEWLINENEWLINEThe book consists of 7 chapters, an appendix, containing some useful definitions and facts of probability theory, and references. Chapters 1, 2 and 3 contain a presentation of the fundamentals of error calculus. Chapter 4 deals with two-dimensional distributions of errors with applications, in particular to the analysis of the accuracy of artillery fire. Chapter 5 considers two-dimensional vectorial functions of independent random variables with practical applications to the analysis of the positioning accuracy of mechanisms with two-dimensional movements. In Chapter 6, three-dimensional distributions of errors are considered. Chapter 7 deals with three-dimensional vectorial functions of independent random variables. The theory is illustrated by examples from the analysis of the positioning accuracy of robot manipulators. In all seven chapters much attention is paid to the practical significance of error analysis. There are numerous examples of practical applications in engineering practice. Among them, the Mohr circles representation of tensors is used for transformations of the components of covariance tensors.NEWLINENEWLINENEWLINEThis book will be useful for those who are mainly interested in applications of error calculus in various problems of engineering.