Introduction
Differential Equations Of Motion
- 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 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 Tim 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
