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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.
Features
- A basic education in engineering is sufficient to master the contents of this guide and effectively apply its step-by-step methods for solving engineering problems.
- Numerous solutions of examples of linear, non-linear, and two-degree-of-freedom systems are found throughout.
- Explains the structures of differential equations of motion of the two-degree-of-freedom systems and demonstrates the applicability of the Laplace Transform methodology for solving these equations.
- Many types of engineers can benefit from this book (as well as students in mechanical, manufacturing, and industrial engineering).
Price: $64.95
Pages: 192
Publisher: Industrial Press, Inc.
Imprint: Industrial Press, Inc.
Publication Date:
25 April 2014
Trim Size: 9.00 X 6.00 in
ISBN: 9780831134945
Format: Paperback
“Dr. Spektor’s new and independent scholarship on the use of the Laplace Transform is profound.”
—Professor Lawrence J. Wolf, Oregon Institute of Technology
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