Solving Engineering Problems in Dynamics

This comprehensive yet compact step-by-step guide to solving real life mechanical engineering problems in dynamics offers all the necessary methodologies and supplemental information—in one place. It includes numerous solutions of examples of linear, non-linear, and two-degree-of-freedom systems. These solutions demonstrate in detail the process of the analytical investigations of actual mechanical engineering problems in dynamics. It is sure to be a very useful guide for students in Mechanical and Industrial Engineering, as well practitioners who need to analyze and solve a variety of problems in dynamics.

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