Variational and Projection Methods for Solving Vibration Theory Equations

  • Vladimir FridmanEmail author
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)


Exact solutions of equations of the theory of vibrations can only be constructed for a limited class of problems under homogeneous properties of an elastic body. However, if the elastic, inertial and dissipative properties are variable in coordinate, then there is a need to use approximate methods to solve equations of the theory of vibrations.


Mixed Variational Principle Forced Harmonic Oscillator Ritz Formula Free Oscillations Displacement Equations 
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© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Los AngelesUSA

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