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The nonlinear modal models are linearized around desired operating points.
The method proposed relies entirely on receptances and hence neither analytical nor modal models are needed.
For heavy damping, the line source or modal models are shown to be in error.
In this paper, several methods used to construct the nonlinear modal models are compared using a clamped clamped beam as an example problem.
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All elements of the modal model are expected to be present in both situations, only the type of representation (physical or social) is different.
A parametric modal model is developed from conservation of momentum, a second order linear distributed stator and ballistic rotor motion.
This chapter outlines the theory of vibration, shows how the modal model is derived and discusses the usage of this method in vehicle noise and vibration refinement.
The classical linear modal model is used, with additional terms included to represent the direct non-linear restoring forces of the system.
A new 'bi-modal' model is devised for calculating the probability density function of stress ranges in the case of a spectral density with two peaks.
But from a subjective view, the modal probabilistic models are static: the probabilities are concerned with what currently is the case.
Modal meta-models are used to approximate modal properties of structures when structural modifications are present.
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