Overview

The two-volume work Engineering Vibration Analysis is devoted to problems on vibration theory analysis, which is currently one of the fundamental courses in mechanical engineering departments at technical universities. The first volume is devoted to systems with a finite number of degrees of freedom and continuous systems are analyzed in the second. In the first part of each volume problems are posed and in the second part the detailed solutions to these problems are dealt with. Conventional and advanced problems requiring deeper knowledge of the vibration theory are analyzed. In particular, problems are formulated associated with the determination of frequencies and vibration modes, the study of free and forced vibrations, as well as with parametric and nonlinear vibration analysis. The problems associated with determination of critical parameters, dynamic stability and with random vibrations are also considered. The algorithms for their solutions are presented with probability characteristics calculation, and a reliability estimation (probability of non-failure operation) of the corresponding mechanical system.

Full Product Details

Author:   Valery A. Svetlitsky ,  A.S. Lidvansky ,  R.A. Mukhamedshin
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2004 ed.
Dimensions:   Width: 15.50cm , Height: 1.50cm , Length: 23.50cm
Weight:   1.170kg
ISBN:  

9783540207825

ISBN 10:   3540207821
Pages:   239
Publication Date:   23 February 2004
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1 Problems and Examples.- 2 Answers and solutions.- References.- A Statics of rods: basic equations.- A.1 Derivation of nonlinear equations of rod equilibrium.- A.2 Transformations of base vectors.- A.5 Vector equation of displacements of points of the rod axial line.- A.7 System of nonlinear equations of rod equilibrium.- A.8 Reduction of equations to dimensionless notation.- A.9 Boundary conditions.- A.10 External load and its behaviour under rod loading process.- A.11 Vector nonlinear equations of rod equilibrium in the bound coordinate system.- A.12 Equations of rod equilibrium in projections onto bound axes.- A.13 Special cases of equilibrium equations.- B Basic equations of rod kinematics.- B.2 Absolute and local derivatives of a vector with respect to time.- B.3 Velocity and acceleration of a point of the rod axial line.- C Basic equations a rod dynamics.- C.1 Nonlinear vector equations of motion of three-dimensional curvilinear rods.- C.2 Reduction of equations to dimensionless form.- C.3 Equations of small vibrations of rods (linear equations).- C.4 Equations of small vibrations in projections onto bound axes.- C.5 Equations of small vibrations of a rod whose axial line in the unloaded state is a plane curve.- D Exact numerical method of determining the frequencies and modes of rod vibrations.- D.1 Determination of eigen values (frequencies).- D.2 Determination of eigen functions for conservative problems.- E Approximate numerical determination of frequencies at small vibrations of rods.- F Approximate solution of equation of rod forced vibrations.

Reviews

From the reviews: <p> The book contains a collection of problems concerning the vibrations of rods. a ] 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)

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