Abstract
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.
Keywords
- Mixed Variational Principle
- Forced Harmonic Oscillator
- Ritz Formula
- Free Oscillations
- Displacement Equations
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Fridman, V. (2018). Variational and Projection Methods for Solving Vibration Theory Equations. In: Theory of Elastic Oscillations. Foundations of Engineering Mechanics. Springer, Singapore. https://doi.org/10.1007/978-981-10-4786-2_4
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DOI: https://doi.org/10.1007/978-981-10-4786-2_4
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