Vibrational Mechanics

Nonlinear Dynamic Effects, General Approach, Applications

By: Iliya I. Blekhman

Write A Review

Hardcover | 25 January 2000

At a Glance

Hardcover
536 Pages

Dimensions(cm)
22.23 x 16.51 x 3.18

Hardcover

RRP $309.99

$278.99

10%OFF

or 4 interest-free payments of $69.75 with

or

Ships in 15 to 25 business days

A review of vibrational mechanics - the developing section of nonlinear dynamics and the theory of nonlinear oscillations. It offers a general approach to the study of the effect of nonlinear mechanical systems. The book presents the mathematical apparatus of vibrational mechanics which is used to describe such nonlinear effects as the disappearance and appearance under vibration of stable positions of equilibrium and motions (attractors), the change of the rheological properties of the media, self-sychronization, self-balancing, the vibrational maintenance or deceleration (retardation) of the rotation of unbalanced routers, resonances in the motions of celestial bodies, vibrational displacement and shift, vibrational excitation of streams and the transportation of bodies in the fluid. The book considers the use of these effects in creating new vibrational machines, technologies, and also principally new materials ("dynamic materials"). The volume contains many results previously published only in Russian and therefore unknown to specialists in the West, and also a review of the results obtained by researchers after the book was first published in Russia.

Industry Reviews

"I think this new book has no real competitors. It should be of interest to university teachers and researchers in vibrations and mathematics, industrial vibration specialists and researchers, and university and company bookstores and libraries. It could even make up a textbook for one or more specialized courses in vibrations for graduate and postgraduate university classes." Jon Juel Thomsen Technical University of Denmark "The monograph is highly descriptive and contains a great many of very vivid schematic diagrams demonstrating the impressive diversity of effects - it reflects the author's superiority of understanding of the subject matter and his splendid teaching skills, and it is an outstanding, probably unrivalled work." ZAMM, 2001

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

More in Calculus & Mathematical Analysis

The Maths Book

Big Ideas Simply Explained

Hardcover

RRP $42.99

$32.75

24%
OFF

Metric Spaces : University Texts in the Mathematical Sciences - Subhajit Paul

$145.75

19%
OFF

Calculus

3rd Edition

Hardcover

RRP $97.95

$80.75

18%
OFF

Calculus, Metric Edition

9th edition

Paperback

RRP $184.95

$146.99

21%
OFF

The Secret Life of Equations : The 50 Greatest Equations and How They Work - Richard Cochrane

$138.75

25%
OFF

Learning Data Science

Data Wrangling, Exploration, Visualization, and Modeling with Python

Paperback

RRP $171.00

$82.99

51%
OFF

$Essential Math for Data Science : Take Control of Your Data with Fundamental Linear Algebra, Probability, and Statistics - Thomas Nield$

Essential Math for Data Science

Take Control of Your Data with Fundamental Linear Algebra, Probability, and Statistics

Paperback

RRP $125.75

$60.99

51%
OFF

Thomas' Calculus : 15th Edition - Early Transcendentals, SI Units - Christopher Heil

$164.75

25%
OFF

Introduction to Finite Element Analysis Using MATLAB® and Abaqus

Hardcover

RRP $200.00

$190.99

An Introduction To Derivative Securities, Financial Markets, And Risk Management

2nd edition

Paperback

RRP $158.99

$68.75

57%
OFF

Cartoon Guide to Calculus

Cartoon Guide Series

Paperback

RRP $31.89

$29.75

Vector

A surprising story of space, time, and mathematical transformation

Paperback

RRP $44.99

$37.75

16%
OFF

Preface to the Russian Edition
Preface to the English Edition
Fundamentals of Theory of Vibrational Mechanics	p. 1
Introduction. Subject-Matter of Vibrational Mechanics	p. 3
On the Mechanics of Systems with Hidden Motions	p. 21
Basic Statements and Mathematical Apparatus of Vibrational Mechanics	p. 37
Potential on the Average Dynamic Systems and Extremal Signs of Stability of Certain Motions	p. 69
Vibrational Mechanics of Machines, Mechanisms and Pendulum Devices	p. 99
Devices of Pendulum Type	p. 101
Rotor Mechanisms. Machine Aggregates	p. 137
Self-synchronization of Mechanical Vibro-exciters	p. 175
Generalized Principle of Auto-balancing	p. 219
Vibrational Mechanics of Processes (Vibrational Displacement and Shift)	p. 231
The Main Models and General Regularities of Processes of Vibrational Displacement from the Position of Vibrational Mechanics	p. 233
Effects of Vibrational Displacement in Technique, Technology and in Nature	p. 261
Vibrational Shift (Drift)	p. 325
Vibrorheology	p. 329
On Rheology and Vibrorheology	p. 331
Effective Rheological Characteristics under the Action of Vibration	p. 335
Vibrorheological Transformation of Nonlinear Mechanical Systems with Discontinuous Characteristics into Systems with Viscous Friction	p. 353
Vibrorheology of Granular Materials	p. 363
Penetration of Vibration into Certain Media	p. 387
Microvibrorheology: the Behavior of Suspension under Vibration, Effective Viscosity and Effective Density of Suspension	p. 403
The Problem of the Control of Vibrorheological Properties of Mechanical Systems. The Idea of Creating Dynamic Materials	p. 411
Supplements	p. 427
Some Other Problems	p. 425
The Motion of the Particle in a Fast Oscillating Nonuniform Field	p. 427
Resonance (Synchronization) in Orbital Motions of Celestial Bodies	p. 435
The Case when the Orbits of Bodies Lie in the Same Plane or in Proximate Planes and Have Small Eccentricities. On classification of resonances	p. 442
The Case of Two Revolving Bodies: Comparison with the Results of the Direct Analytical Investigation and with the Observed Data	p. 445
On Resonances in the Solar System. Hypothesis about Simple Resonancity	p. 450
On Other Problems (Motion of Celestial Bodies with the Internal Degrees of Freedom)	p. 452
Bibliography	p. 455
Index	p. 506
Table of Contents provided by Blackwell. All Rights Reserved.

Vibrational Mechanics

Nonlinear Dynamic Effects, General Approach, Applications

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Calculus & Mathematical Analysis

The Maths Book

Big Ideas Simply Explained

Metric Spaces

University Texts in the Mathematical Sciences

Calculus Essentials

Introductory Numerical Analysis

Free Boundary Problems and Regularity Theory

Functional Calculus

Theory and Applications

Differential Equations

An Elementary Approach

Calculus

A Comprehensive Course

Mathematical Models in the Applied Sciences

Mathematical Models in the Applied Sciences

Advances in Numerical Methods and Analysis

Calculus

9th edition - Early Transcendentals, Metric

Calculus

3rd Edition

Calculus, Metric Edition

9th edition

The Secret Life of Equations

The 50 Greatest Equations and How They Work

A Second Course in Statistics

7th Edition - Regression Analysis

Learning Data Science

Data Wrangling, Exploration, Visualization, and Modeling with Python

Essential Math for Data Science

Take Control of Your Data with Fundamental Linear Algebra, Probability, and Statistics

Thomas' Calculus

15th Edition - Early Transcendentals, SI Units

Essential Calculus

2nd Edition

Introduction to Finite Element Analysis Using MATLAB® and Abaqus

An Introduction To Derivative Securities, Financial Markets, And Risk Management

2nd edition

Cartoon Guide to Calculus

Cartoon Guide Series

Vector

A surprising story of space, time, and mathematical transformation

This product is categorised by