Theory of Elastic Oscillations - Vladimir Fridman

Theory of Elastic Oscillations

Equations and Methods
Buch | Softcover
257 Seiten
2019 | Softcover reprint of the original 1st ed. 2018
Springer Verlag, Singapore
978-981-13-5230-0 (ISBN)
160,49 inkl. MwSt
This book presents in detail an alternative approach to solving problems involving both linear and nonlinear oscillations of elastic distributed parameter systems. It includes the so-called variational, projection and iterative gradient methods, which, when applied to nonlinear problems, use the procedure of linearization of the original non-linear equations.

These methods are not universal and require a different solution for each problem or class of problems.However, in many cases the combination of the methods shown in this book leads to more efficient algorithms for solving important applied problems.To record these algorithms in a unified form, the first part of the book and its appendix devote considerable attention to compiling the general operator equations, which include (as particular cases) equations for vibrations in rods, plates, shells and three-dimensional bodies. They are mainly considered to be periodic or nearly periodic oscillations, which correspond to stat

ionary or nearly stationary regimes of machinery operation. In turn, the second part of the book presents a number of solutions for selected applications. 

Fridman Vladimir Markovich was born on September 30, 1928 in Leningrad (St.Petersburg), USSR. In 1951 he graduated from the Physics and Mechanics Department of the Leningrad Polytechnic Institute (LPI). In 1964 he received a PhD degree in physics and mathematics, and in 1970 – Doctor of Sciences in Engineering. Since 1961 to 1993 – Research Fellow, Professor of LPI. At the same time, in parallel, from 1986 through 1996 – head of the laboratory at the Institute for Problems in Mechanical Engineering of the Academy of Sciences of the USSR and Russia. From 1951 to 1993 – head of the laboratory in the Electrical Machine Building company "Electrosila" (“Electric power”). In 1993 he immigrated to the USA. Since 1996 – Vice-President of the company "Technical Mechanics and Electronics". Area of scientific interests: variational methods in the theory of elastic vibrations, calculation methods for dynamics of power machines. In total he has published more than 150 articles and has got more than30 patents for inventions. Vladimir Fridman in 2014 published this monograph Theory of Elastic Oscillations in Russian language (Теория упругих колебаний). Sviyazheninov Eugene Dmitrievich was born on April 8, 1957 in Leningrad (St.Petersburg), USSR. In 1979 he graduated from the Physics and Mechanics Department of the Leningrad Polytechnic Institute (LPI). In 1985 he received a PhD degree in Engineering, and in 1970 – Doctor of Sciences in Engineering. Since 1979 to 1986 – Research Fellow of LPI. From 1986 through the present time – Leading Scientist at the Institute for Problems in Mechanical Engineering of the Academy of Sciences of the USSR and Russia. In 2001 he worked as a visiting Scientist at Ford Motor Company, Scientific Research Laboratory, Dearborn, USA. Area of scientific interests: research, development and inventory activities in mechanics, machinery, dynamics, vibration, noise, shock, impact, vibroisolation systems, constructions, automotive, electricity, electrodynamics, microwave electronics, acoustics, mechatronics. In total he has published more than 90 articles and has got more than 20 patents for inventions. 

Part 1. Equations and Methods: Oscillation Equations of a Rod with Rectilinear Axis.- Vibrations of Three-Dimensional Body, Plate and Ring.- Spectral Theory.- Variational and Projection Methods for  Solving the Vibration Theory Equations.- Harmonic Analysis.- Discontinuous Functions. Complicated Boundary Conditions.- Exact Solutions of Equations of Oscillation Theory.- Nonlinear Periodic Oscillations.- Part 2. Some Applied Problems: Determination of Elastic-Damping Characteristics of Slide Bearings.- Vibrations of Shafts, Blades and Disks.- Stability of The Equilibrium Position of Rotating Shaft Axis.- Vibrations of Internal Combustion Engine.

Erscheinungsdatum
Reihe/Serie Foundations of Engineering Mechanics
Übersetzer Eugene Sviyazheninov
Zusatzinfo 3 Illustrations, color; 8 Illustrations, black and white; XIII, 257 p. 11 illus., 3 illus. in color.
Verlagsort Singapore
Sprache englisch
Original-Titel Theory of Elastic Oscillations ( )
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Technik Maschinenbau
Schlagworte Bending Vibrations • Elastic Distributed Parameter Systems • Longitudinal Vibrations of a Rod • Lubrication • mixed boundary conditions • Newton-Kantorovich Method • Torsional Vibrations
ISBN-10 981-13-5230-5 / 9811352305
ISBN-13 978-981-13-5230-0 / 9789811352300
Zustand Neuware
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