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 informationin 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