An Introduction to Random Vibrations, Spectral & Wavelet Analysis: Third Edition

Автор: Helmberg Gilbert Название: Introduction to Spectral Theory in Hilbert Space ISBN: 0486466221 ISBN-13(EAN): 9780486466224 Издательство: Dover Рейтинг: Цена: 2523 р. Наличие на складе: Поставка под заказ.

Описание: Starting with a definition of Hilbert space and its geometry, this text explores the general theory of bounded linear operators, the spectral analysis of compact linear operators, and unbounded self-adjoint operators. Familiarity with analysis and analytic geometry is the only prerequisite. Extensive appendixes complement the text. 1969 edition.

Автор: Wirsching Paul Название: Random Vibrations: Theory and Practice ISBN: 0486450155 ISBN-13(EAN): 9780486450155 Издательство: Dover Рейтинг: Цена: 2868 р. Наличие на складе: Поставка под заказ.

Описание: The most comprehensive text and reference available on the study of random vibrations, this book was designed for graduate students and for mechanical, structural, and aerospace engineers. "Random Vibrations: Theory and Practice "encompasses all the key topics, including fundamental background material, random vibration development with applications to design, and random signal analysis. The broad scope of this text makes it useful both as a clear and thorough introduction to the field and as an authoritative reference for practitioners who wish to investigate special topics. In addition to coverage of background topics in probability, statistics, and random processes, this text develops methods for analyzing and controlling random vibrations. It explains how to avoid fatigue and fracture brought on by random vibration stresses and describes how to analyze random signals obtained for field and test measurements. Detailed examples employ random signals taken from actual random sources, and an abundance of figures, tables and charts support and clarify the text.

Автор: Wilson, E.bright Etc. Название: Molecular vibrations ISBN: 048663941X ISBN-13(EAN): 9780486639413 Издательство: Dover Рейтинг: Цена: 2063 р. Наличие на складе: Поставка под заказ.

Описание:

Because of its connection with laser technology, the theory of infrared and Raman vibrational spectra is even more important now than when this book was first published. As the pioneering text in the field and as the text still preferred today, Molecular Vibrations is the undeniable choice of anyone teaching or studying molecular spectroscopy at the graduate level. It is the only book of its kind in the area written by well-known scientists, and besides its value as a pedagogical classic, it is an essential reference for anyone engaged in research. The genius of the book is its rigorous, elegant treatment of the mathematics involved in detailed vibrational analyses of polyatomic molecules. The reader is led carefully and gradually through the main features of the theory and its methods: starting from a valuable introduction to the theory of molecular vibrations and the application of wave mechanics to this subject; leading into the mathematical methods devised by Professor Wilson and his students for handling the mathematical problems and for making use of symmetry and group theory; proceeding through vibrational selection rules and intensities, potential functions and methods of solving the secular determinant; and concluding with a sample vibrational analysis of the molecule of benzene. Sixteen appendices, comprising nearly one hundred pages, offer much extremely useful information that is more clearly understood outside the body of the text. Well-known for their distinguished contributions to the field, the authors -- in addition to Professor Wilson of Harvard University -- are J. C. Decius of Oregon State University and Paul C. Cross, late President of Mellon Institute. Younger students interested in the field of molecular spectroscopy will especially welcome this inexpensive reprint edition of an exceptional book. "An authoritative and complete presentation written on a very high level." -- G. Herzberg, Science "The easiest and quickest route to acquiring skill in handling the mathematics of molecular vibrations." -- Nature

Автор: Hartog, J. P. Den Название: Mechanical Vibrations ISBN: 0486647854 ISBN-13(EAN): 9780486647852 Издательство: Dover Рейтинг: Цена: 2868 р. Наличие на складе: Поставка под заказ.

Описание:

This classic textbook by J. P. Den Hartog, retired professor of mechanical engineering at MIT, reflects the author's unique ability to combine the scholarly insight of a distinguished scientist with the practical, problem-solving orientation of an experienced industrial engineer. Although mathematics plays a role in the subject, Den Hartog employs the simplest possible mathematical approaches. His lucid explanations of complex problems are presented in a direct style and supported by illustrative models. Numerous figures in the text enhance its value as a basic foundation in a field which Den Hartog calls "a necessary tool for almost every mechanical engineer." The author examines such topics as the kinematics of vibration (including harmonic motions and non-harmonic periodic motions), degrees of freedom, gyroscopic effects, relaxation oscillations, Rayleigh's method, natural frequencies of torsional vibration, Karman vortices, and systems with variable elasticity. Drawing on his experience as an engineer in private industry and in the U.S. Navy's Bureau of Ships, Den Hartog applies theory to practice, discussing the effects of vibrations on turbines, electrical machines, helicopter rotors and airplane wings, diesel engines and electrical transmission lines. As a special aid to classroom work or self-study, this practical text includes an extensive selection of 233 problems and answers that test the student's mastery of every section of the book. In addition, a highly useful Appendix contains "A Collection of Formulas" for determining the load per inch deflection of linear springs, the load per radian rotation of rotational springs, the natural frequencies of simple systems, the longitudinal and torsional vibration of uniform beams, the transverse or bending vibrations of uniform beams, and the vibrations of rings, membranes, and plates. When "Mechanical Vibrations "was first published in 1934, it was a pioneering work in a field which had just been introduced in America's technical schools. In fact, the author wrote it to assist him in teaching the subject at Harvard. "During the life of the book," he says, "from 1934 on, the art and science of engineering has grown at an astonishing rate and the subject of vibration has expanded with it." Professor Den Hartog's constant revisions have kept his book at the forefront of this vital subject, as useful today as its earlier versions were to students of the past.

Автор: Wirsching, Paul Название: Random Vibrations: Theory and Practice ISBN: 0486788962 ISBN-13(EAN): 9780486788968 Издательство: Dover Цена: 5742 р. Наличие на складе: Поставка под заказ.

Описание: The most comprehensive text and reference available on the study of random vibrations, this book was designed for graduate students and for mechanical, structural, and aerospace engineers. Random Vibrations: Theory and Practice encompasses all the key topics, including fundamental background material, random vibration development with applications to design, and random signal analysis. The broad scope of this text makes it useful both as a clear and thorough introduction to the field and as an authoritative reference for practitioners who wish to investigate special topics. In addition to coverage of background topics in probability, statistics, and random processes, this text develops methods for analyzing and controlling random vibrations. It explains how to avoid fatigue and fracture brought on by random vibration stresses and describes how to analyze random signals obtained for field and test measurements. Detailed examples employ random signals taken from actual random sources, and an abundance of figures, tables and charts support and clarify the text.

Автор: Naudascher Eduard Название: Flow-Induced Vibrations: An Engineering Guide ISBN: 0486442829 ISBN-13(EAN): 9780486442822 Издательство: Dover Рейтинг: Цена: 3098 р. Наличие на складе: Поставка под заказ.

Описание: This graduate-level text presents a synthesis of research and experience from disparate fields to form guidelines for dealing with vibration phenomena of many different origins. It is particularly geared toward assessing sources of excitation in a flow system, identifying the actual danger spots, and finding appropriate cures. 1994 edition.

Описание: Digital Spectral Analysis offers a broad perspective of spectral estimation techniques and their implementation. Coverage includes spectral estimation of discrete-time or discrete-space sequences derived by sampling continuous-time or continuous-space signals. The treatment emphasizes the behavior of each spectral estimator for short data records and provides over 40 techniques described and available as implemented MATLAB functions. In addition to summarizing classical spectral estimation, this text provides theoretical background and review material in linear systems, Fourier transforms, matrix algebra, random processes, and statistics. Topics include Prony's method, parametric methods, the minimum variance method, eigenanalysis-based estimators, multichannel methods, and two-dimensional methods. Suitable for advanced undergraduates and graduate students of electrical engineering -- and for scientific use in the signal processing application community outside of universities -- the treatment's prerequisites include some knowledge of discrete-time linear system and transform theory, introductory probability and statistics, and linear algebra. 1987 edition.

Описание: Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, spherical and cylindrical geometry, and more. Includes 7 appendices and over 160 text figures.

Автор: Ghanem Roger G. Название: Stochastic Finite Elements: A Spectral Approach ISBN: 0486428184 ISBN-13(EAN): 9780486428185 Издательство: Dover Рейтинг: Цена: 1948 р. Наличие на складе: Поставка под заказ.

Описание: Discrepancies frequently occur between a physical system's responses and predictions obtained from mathematical models. The Spectral Stochastic Finite Element Method (SSFEM) has proven successful at forecasting a variety of uncertainties in calculating system responses. This text analyzes a class of discrete mathematical models of engineering systems, identifying key issues and reviewing relevant theoretical concepts, with particular attention to a spectral approach. Random system parameters are modeled as second-order stochastic processes, defined by their mean and covariance functions. Relying on the spectral properties of the covariance function, the Karhunen-Loeve expansion is employed to represent these processes in terms of a countable set of uncorrected random variables, casting the problem in a finite dimensional setting. Various spectral approximations for the stochastic response of the system are obtained. Implementing the concept of generalized inverse leads to an explicit expression for the response process as a multivariate polynomial functional of a set of uncorrelated random variables. Alternatively, the solution process is treated as an element in the Hilbert space of random functions, in which a spectral representation is identified in terms of polynomial chaos. In this context, the solution process is approximated by its projection onto a finite subspace spanned by these polynomials.