Vibrations of Mechanical Systems

  • Jan Awrejcewicz
Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 29)


Vibration theory belongs to well-developed branches of mechanics and physics. It cannot be understood without a good command of the fundamentals of mathematics. A large body of literature exists that is devoted to the theory of vibrations of discrete and continuous systems; it is not cited here in full; we mention only a few works [1–16], where an extensive bibliography covering the field can be found. This book will give certain basic information concerning the vibrations of discrete (or lumped) systems from the viewpoint of “mechanics.” The vibrations of lumped mechanical systems are described by ordinary differential equations. We dealt with such equations in Chaps. 1–3.


Mach Number Free Vibration Equilibrium Position Preceding Equation Logarithmic Decrement 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • Jan Awrejcewicz
    • 1
  1. 1.Department of Automation & BiomechanicsŁódź University of TechnologyŁódźPoland

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