Mechanical vibrations an introduction / György Szeidl, László Péter Kiss.

This book presents a unified introduction to the theory of mechanical vibrations. The general theory of the vibrating particle is the point of departure for the field of multidegree of freedom systems. Emphasis is placed in the text on the issue of continuum vibrations. The presented examples are ai...

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Bibliographic Details
Main Author: Szeidl, György
Other Authors: Kiss, László Péter
Format: eBook
Language:English
Published: Cham : Springer, 2020.
Series:Foundations of Engineering Mechanics Ser.
Subjects:
Online Access:Click for online access

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100 1 |a Szeidl, György. 
245 1 0 |a Mechanical vibrations  |h [electronic resource] :  |b an introduction /  |c György Szeidl, László Péter Kiss. 
260 |a Cham :  |b Springer,  |c 2020. 
300 |a 1 online resource 
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490 1 |a Foundations of Engineering Mechanics Ser. 
504 |a Includes bibliographical references and index. 
505 0 |a Intro -- Preface -- Contents -- 1 Introduction -- 1.1 Model Creation -- 1.2 Kinematic Relations-A Summary -- 1.2.1 Motion of a Material Point (Particle) -- 1.2.2 Motion of a Rigid Body -- 1.3 Fundamental Relations of Kinetics-A Summary1 -- 1.3.1 The First Moment of a Mass Distribution -- 1.3.2 Momentum Distribution-Vector System of Momenta -- 1.3.3 Moment of Momentum for a Rigid Body -- 1.4 Parallel Axis Theorem -- 1.5 Fundamental Theorems of Kinetics -- 1.5.1 Introductory Remarks -- 1.5.2 Force Systems -- 1.5.3 Systems of Effective Forces -- 1.5.4 The Fundamental Theorem of Dynamics 
505 8 |a 1.5.5 Kinetic Energy of a Rigid Body. Power -- 1.5.6 Principle of Work and Energy -- 1.6 Problems -- References -- 2 Impact -- 2.1 What Is Meant by Impact -- 2.2 Central Impact -- 2.3 Eccentric Impact -- 2.3.1 Impact of Two Bodies Which Perform Free Plane Motion -- 2.3.2 Impact of Two Bodies if One or Two Bodies Rotate About a Fixed Point -- 2.4 Problems -- Reference -- 3 Some Vibration Problems -- 3.1 Single Degree of Freedom Systems -- 3.1.1 Introductory Remarks -- 3.1.2 Classification -- 3.2 Machine Foundations and Vibration Isolation -- 3.2.1 Introductory Remarks 
505 8 |a 4.1.2 Principle of Virtual Work -- 4.1.3 Derivation of Lagrange's Equation of Motion of the Second Kind -- 4.2 Applications of Lagrange's Equations -- 4.2.1 Calculations of Generalized Forces -- 4.3 Multidegree of Freedom Systems with Solutions -- 4.3.1 Examples for Multidegree of Freedom Systems -- 4.3.2 Two Degree of Freedom Systems -- 4.3.3 Free Vibrations of Two Degree of Freedom Spring-Mass Systems -- 4.3.4 Forced Vibrations of Two Degree of Freedom Systems -- 4.3.5 Vibration Absorbers -- 4.4 Problems -- References -- 5 Some Problems of Multidegree of Freedom Systems 
505 8 |a 5.1 Equations of Motion -- 5.1.1 Spring-Mass Systems -- 5.1.2 The General Form of the Equation of Motion -- 5.2 Eigenvalue Problem of Symmetric Matrices -- 5.2.1 Eigenvalues and Eigenvectors -- 5.2.2 Calculation of the Eigenvectors -- 5.2.3 Orthogonality of the Eigenvectors -- 5.2.4 Repeated Roots -- 5.2.5 The Natural Frequencies Are Real Numbers -- 5.2.6 Uncoupled Equations of Motion -- 5.3 Rayleigh Quotient -- 5.3.1 Definition and Properties -- 5.3.2 Matrix Iteration -- 5.3.3 Convergence of the Iteration Algorithm -- 5.3.4 Properties of the Iteration Algorithm 
520 |a This book presents a unified introduction to the theory of mechanical vibrations. The general theory of the vibrating particle is the point of departure for the field of multidegree of freedom systems. Emphasis is placed in the text on the issue of continuum vibrations. The presented examples are aimed at helping the readers with understanding the theory. This book is of interest among others to mechanical, civil and aeronautical engineers concerned with the vibratory behavior of the structures. It is useful also useful for students from undergraduate to postgraduate level. The book is based on the teaching experience of the authors. 
650 0 |a Vibration. 
650 7 |a vibration (physical)  |2 aat 
650 7 |a Mechanics of solids.  |2 bicssc 
650 7 |a Dynamics & vibration.  |2 bicssc 
650 7 |a Technology & Engineering  |x Engineering (General)  |2 bisacsh 
650 7 |a Technology & Engineering  |x Mechanical.  |2 bisacsh 
650 7 |a Vibration  |2 fast 
700 1 |a Kiss, László Péter. 
776 0 8 |i Print version:  |z 3030450732  |z 9783030450731  |w (OCoLC)1144116032 
830 0 |a Foundations of Engineering Mechanics Ser. 
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