Solving Engineering Problems in Dynamics. Michael Spektor
SOLVING ENGINEERING PROBLEMS IN DYNAMICS
By
MICHAEL B. SPEKTOR
Industrial Press
A full catalog record for this book will be available from the Library of Congress
ISBN 978-0-8311-9191-7
Industrial Press, Inc.
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South Norwalk, Connecticut 06854
Sponsoring Editor: Jim Dodd
Interior Text and Cover Design: Janet Romano
Developmental Editor: Robert Weinstein
Copyright © 2014 by Industrial Press Inc., New York.
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To My Family
TABLE OF CONTENTS
Chapter 1 Differential Equations of Motion
1.1The Left Side of Differential Equations of Motion (Sum of Resisting Loading Factors Equals Zero)
2.1Analysis of Resisting Forces
2.1.1Forces of Inertia
2.1.2Damping Forces
2.1.3Stiffness Forces
2.1.4Constant Resisting Forces
2.1.5Friction Forces
2.2Analysis of Active Forces
2.2.1Constant Active Forces
2.2.2Sinusoidal Active Forces
2.2.3Active Forces Depending on Time
2.2.4Active Forces Depending on Velocity
2.2.5Active Forces Depending on Displacement
Chapter 3 Solving Differential Equations of Motion Using Laplace Transforms
3.1Laplace Transform Pairs for Differential Equations of Motion
3.2Decomposition of Proper Rational Fractions
3.3Examples of Decomposition of Fractions
3.4Examples of Solving Differential Equations of Motion
3.4.1Motion by Inertia with no Resistance
3.4.2Motion by Inertia with Resistance of Friction
3.4.3Motion by Inertia with Damping Resistance
3.4.4Free Vibrations
3.4.5Motion Caused by Impact
3.4.6Motion of a Damped System Subjected to a Time Depending Force
3.4.7Forced Motion with Damping and Stiffness
3.4.8Forced Vibrations
Chapter 4 Analysis of Typical Mechanical Engineering Systems
4.1Lifting a Load
4.1.1Acceleration
4.1.2Braking
4.2Water Vessel Dynamics
4.3Dynamics of an Automobile
4.3.1Acceleration
4.3.2Braking
4.4.Acceleration of a Projectile in the Barrel
4.5Reciprocation Cycle of a Spring-loaded Sliding Link
4.5.1Forward Stroke Due to a Constant Force
4.5.2Forward Stroke Due to Initial Velocity
4.5.3Backward Stroke
4.6Pneumatically Operated Soil Penetrating Machine
Chapter 5 Piece-Wise Linear Approximation
5.1Penetrating into an Elasto-Plastic Medium
5.1.1First Interval
5.1.2Second Interval
5.1.3Third Interval
5.1.4Fourth Interval
5.2Non-linear Damping Resistance
5.2.1First Interval
5.2.2Second Interval
Chapter 6 Dynamics of Two-Degree-of-Freedom Systems
6.1Differential Equations of Motion: A Two-Degree-of-Freedom System
6.1.1A System with a Hydraulic Link (Dashpot)
6.1.2A System with an Elastic Link (Spring)
6.1.3A System with a Combination of a Hydraulic Link (Dashpot) and an Elastic Link (Spring)
6.2Solutions of Differential Equations of Motion for Two-Degree-of-Freedom Systems
6.2.1Solutions for a System with a Hydraulic Link
6.2.2Solutions for a System with an Elastic Link