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Engineering Vibration Analysis : Worked Problems 2 - Valery A. Svetlitsky

Engineering Vibration Analysis

Worked Problems 2

By: Valery A. Svetlitsky, A.S. Lidvansky (Translator), R.A. Mukhamedshin (Translator)

Hardcover Published: 23rd February 2004
ISBN: 9783540207825
Number Of Pages: 239

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Constantly increasing attention is paid in the course 'Vibration 'Theory' to vibration of mechanical systems with distributed parameters, since the real elements of machines, devices, and constructions are made of materials that are not perfectly rigid. 'Therefore, vibrations of the objects including, for ex­ ample, rod elastic elements excite the vibrations of these elements, which can produce a substantial effect on dynamic characteristics of moving objects and on readings of instruments. For a mechanical engineer working in the field of design of new technolo­ gies the principal thing is his know-how in developing the sophisticated math­ ematical models in which all specific features of operation of the objects under design in real conditions are meticulously taken into account. So, the main emphasis in this book is made on the methods of derivation of equations and on the algorithms of solving them (exactly or approximately) taking into con­ sideration all features of actual behavior of the forces acting upon elastic rod elements. 'The eigen value and eigen vector problems are considered at vibrations of curvilinear rods (including the rods with concentrated masses). Also consid­ ered are the problems with forced vibrations. When investigating into these problems an approximate method of numerical solution of the systems of lin­ ear differential equations in partial derivatives is described, which uses the principle of virtual displacements. Some problems are more complicated than others and can be used for practical works of students and their graduation theses.

From the reviews:

"The book contains a collection of problems concerning the vibrations of rods. ... The statics and dynamics of curvilinear rods, together with basic equations, are presented in appendices. The book can be considered as a problem book for students and engineers who work in the area of vibrations of engineering structures." (Yuri N. Sankin, Zentralblatt MATH, Vol. 1103 (5), 2007)

Problems and Examples
Answers and solutions
Statics of rods: basic equations
Basic equations of rod kinematics
Basic equations of rod dynamics
Exact numerical method of determining the frequencies and modes of rod vibrations
Approximate numerical determination of frequencies at small vibrations of rods
Approximate solution of equation of rod forced vibrations
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540207825
ISBN-10: 3540207821
Series: Foundations of Engineering Mechanics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 239
Published: 23rd February 2004
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.5  x 1.91
Weight (kg): 1.17