Basic Mechanical Vibrations

1st Edition - May 29, 1985
Author: A J Pretlove
Language: English
eBook ISBN:
9 7 8 - 1 - 4 8 3 1 - 4 0 6 1 - 2

BASIC Mechanical Vibrations deals with vibrations and combines basic theory with the development of useful computer programs to make design calculations. The programs in the book… Read more

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BASIC Mechanical Vibrations deals with vibrations and combines basic theory with the development of useful computer programs to make design calculations. The programs in the book are written in BASIC. This book is comprised of six chapters and begins with a brief introduction to computing, with special emphasis on the fundamentals of the BASIC computer language. The chapters that follow give concise elements of vibration theory followed by problem solving examples making use of BASIC programs. The vibration analysis of engineering systems, which may be modeled by a single degree of freedom, is presented. Simple systems with damping and no damping are considered, along with systems having two and several degrees of freedom. The final chapter is concerned with bending vibrations. The text includes some subroutines for performing simple matrix operations on two-dimensional arrays that can be used in vibration calculations. This monograph will be useful to engineers who need to make vibration design calculations and to students of mechanical engineering.

Preface1 The BASIC Computer Language 1.1 Computer Structure 1.2 Peripherals 1.3 Execution of BASIC Programs 1.4 BASIC Programs2 Simple Systems with no Damping Essential Theory 2.1 Equation of Free Motion 2.2 Conservation of Energy 2.3 Forced Motion: Resonance 2.4 Earth Motion Worked Examples 2.1 Compound Spring Stiffnesses 2.2 Natural Frequency Calculation 2.3 Forced Harmonic Motion 2.4 Data Analysis from a Bridge Experiment 2.5 Vibration Isolation Problems3 Simple Systems with Damping Essential Theory 3.1 Equation of Free Motion 3.2 The Logarithmic Decrement 3.3 Impulse Response Function 3.4 Equation of Forced Motion 3.5 Fourier Series Analysis 3.6 Transient Forcing 3.7 Rotating Machinery 3.8 Earth Motion Worked Examples 3.1 Quadratic Equations: Damping Ratio and Natural Frequency 3.2 Polar Response Diagrams 3.3 Transient Forcing: Step-By-Step Integration 3.4 Transient Forcing: Duhamel's Integral Problems4 Two Degree of Freedom Systems Essential Theory 4.1 The Equation of Free Motion without Damping 4.2 Coupling 4.3 Principal Coordinates 4.4 Damping and Stability 4.5 Forced Vibration: the Vibration Absorber Worked Examples 4.1 Vibration Properties of an Undamped 2-DOF System 4.2 Natural Frequencies of a System with Vibration Absorber 4.3 Free Motion of an Undamped 2-DOF System 4.4 Forced Vibration of a Damped 2-DOF System Problems5 Systems with Several Degrees of Freedom Essential Theory 5.1 Stiffness Formulation 5.2 Flexibility Formulation 5.3 Simple Solutions to the Eigenvalue Problem 5.4 Modal Orthogonality 5.5 Forced Motion Worked Examples 5.1 Matrix Multiplication 5.2 Matrix Inversion 5.3 Iteration Method for Eigenvalues 5.4 Harmonic Forced Motion of an Undamped System Problems6 Bending Vibrations Essential Theory 6.1 The Differential Equation of Motion for a Uniform Beam 6.2 Approximate Solution by Rayleigh's Method Worked Examples 6.1 Natural Frequencies of Uniform Beams 6.2 Mode Shapes for Uniform Beams 6.3 Polynomials for Rayleigh's Method ProblemsFurther ReadingIndex