Theory of Vibrations with Applications

Description

• Focuses on the physical aspects of the mathematical concepts necessary to describe the vibration phenomena. Pg.___

• Provides many example applications, including typical problems faced by practicing engineers. Pg.___

• MATLAB… has been introduced where appropriate to take advantage of this industry-standard software for necessary calculations. Pg.___

• Mass and stiffness matrices are now defined alongside the discussion of normal mode vibrations, free vibrations, forced vibrations, absorbers, and dampers (Ch. 5). Pg.___

• FORTRAN computations have been replaced by MATLAB. FORTRAN plotting has been replaced by MATLAB plotting. Pg.___

• Introduction to Finite Element Methods (Ch. 10) now does computations completely in MATLAB. The section on generalized force proportional to displacement has been substantially expanded by detailed computation of rotating helicopter blades. Pg.___

• Problem sets have been added throughout.

• A solutions manual is available.

Junior or Senior level Vibration courses in Departments of Mechanical Engineering.

A thorough treatment of vibration theory and its engineering applications, from simple degree to multi degree-of-freedom system.

The SI System of Units.

 1. Oscillatory Motion.

 2. Free Vibration.

 3. Harmonically Excited Vibration.

 4. Transient Vibration.

 5. Systems with Two or More Degrees of Freedom.

 6. Properties of Vibrating Systems.

 7. Lagrange’s Equation.

 8. Computational Methods.

 9.Vibration of Continuous Systems.

10. Introduction to the Finite Element Method.

11. Mode-Summation Procedures for Continuous Systems.

12. Classical Methods.

13. Random Vibrations.

14. Nonlinear Vibrations.

Appendices.

Answers to Selected Problems.

Index.

Junior or Senior level Vibration courses in Departments of Mechanical Engineering.

A thorough treatment of vibration theory and its engineering applications, from simple degree to multi degree-of-freedom system.

• NEW—MATLAB…• has been introduced where appropriate to take advantage of this industry-standard software for necessary calculations.
• NEW—Mass and stiffness matrices are now defined alongside the discussion of normal mode vibrations, free vibrations, forced vibrations, absorbers, and dampers (Ch. 5).
• NEW—FORTRAN computations have been replaced by MATLAB. FORTRAN plotting has been replaced by MATLAB plotting.
• NEW—Introduction to Finite Element Methods (Ch. 10) now does computations completely in MATLAB. The section on generalized force proportional to displacement has been substantially expanded by detailed computation of rotating helicopter blades.
• NEW—Problem sets have been added throughout.
• NEW—A solutions manual is available.