Dynamic Response of Linear Mechanical Systems

Dynamic Response of Linear Mechanical Systems: Modeling, Analysis and Simulation can be utilized for a variety of courses, including junior and senior-level vibration and linear mechanical analysis courses. The author connects, by means of a rigorous, yet intuitive approach, the theory of vibration with the more general theory of systems. The book features:

A seven-step modeling technique that helps structure the rather unstructured process of mechanical-system modeling

A system-theoretic approach to deriving the time response of the linear mathematical models of mechanical systems

The modal analysis and the time response of two-degree-of-freedom systems—the first step on the long way to the more elaborate study of multi-degree-of-freedom systems—using the Mohr circle

Simple, yet powerful simulation algorithms that exploit the linearity of the system for both single- and multi-degree-of-freedom systems

Examples and exercises that rely on modern computational toolboxes for both numerical and symbolic computations as well as a Solutions Manual for instructors, with complete solutions of a sample of end-of-chapter exercises

Chapters 3 and 7, on simulation, include in each “Exercises” section a set of miniprojects that require code-writing to implement the algorithms developed in these chapters

• Angeles
• Dynamic mechanical response
• Dynamic modeling
• First-order dynamical systems
• Linear mathematical models
• Linear mechanical systems
• Maple worksheets
• Mechanical systems analysis
• Mohr circle
• Numerical computational toolboxes
• Second-order dynamical systems
• Single-DOF mechanical systems
• Symbolic computation
• Two degrees of freedom systems
• Vibration analysis of mechanical systems
• Vibration theory

From the book reviews:

“The book discusses the modeling, analysis, and simulation of mechanical systems from the point of view of their dynamic response. … Each chapter contains many examples (very carefully selected) and ends with a set of exercises. For this reason the book may be used as a support material for lecture courses as well. … The book is very useful for mechanical engineering students of all levels from undergraduate to PhD.” (Nicolae-Doru Stanescu, International Journal of Acoustics and Vibration, Vol. 18 (4), 2013)

“This book provides classical principles and modern methods of analysis, modelling and simulation of linear mechanical systems. … the book is very useful and can be recommended to students, postgraduate students and engineers.” (Yuri N. Sankin, Zentralblatt MATH, Vol. 1243, 2012)

• Dept. Mechanical Engineering, McGill University, Montreal, Canada

  Jorge Angeles

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