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Dedication
Introduction
Differential Equations of Motion
The Left Side of Differential Equations of Motion (Sum of Resisting Loading Factors Equals Zero)
The Left and Right Sides of Differential Equations of Motion (Sum of Resisting Loading Factors Equals Sum of Active Loading Factors)
Analysis of Forces
Analysis of Resisting Forces
Forces of Inertia
Damping Forces
Stiffness Forces
Constant Resisting Forces
Friction Forces
Analysis of Active Forces
Constant Active Forces
Sinusoidal Active Forces
Active Forces Depending on Time
Active Forces Depending on Velocity
Active Forces Depending on Displacement
Solving Differential Equations of Motion Using Laplace Transforms
Laplace Transform Pairs for Differential Equations of Motion
Decomposition of Proper Rational Fractions
Examples of Decomposition of Fractions
Examples of Solving Differential Equations of Motion
Motion by Inertia with no Resistance
Motion by Inertia with Resistance of Friction
Motion by Inertia with Damping Resistance
Free Vibrations
Motion Caused by Impact
Motion of a Damped System Subjected to a Time Depending Force
Forced Motion with Damping and Stiffness
Forced Vibrations
Analysis of Typical Mechanical Engineering Systems
Lifting a Load
Acceleration
Braking
Water Vessel Dynamics
Dynamics of an Automobile
Acceleration
Braking
Acceleration of a Projectile in the Barrel
Reciprocation Cycle of a Spring-loaded Sliding Link
Forward Stroke Due to a Constant Force
Forward Stroke Due to Initial Velocity
Backward Stroke
Pneumatically Operated Soil Penetrating Machine
Piece-Wise Linear Approximation
Penetrating into an Elasto-Plastic Medium
First Interval
Second Interval
Third Interval
Fourth Interval
Non-linear Damping Resistance
First Interval
Second Interval
Dynamics of Two-Degree-of-Freedom Systems
Differential Equations of Motion: A Two-Degree-of-Freedom System
A System with a Hydraulic Link (Dashpot)
A System with an Elastic Link (Spring)
A System with a Combination of a Hydraulic Link (Dashpot) and an Elastic Link (Spring)
Solutions of Differential Equations of Motion for Two-Degree-of-Freedom Systems
Solutions for a System with a Hydraulic Link
Solutions for a System with an Elastic Link
Solutions for a System with a Combination of a Hydraulic and an Elastic Link
A System with a Hydraulic Link where the First Mass Is Subjected to a Constant External Force
A Vibratory System Subjected to an External Sinusoidal Force
Index