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Based on the approach of modal expansion analysis for waveguide excitation, the said second-order driving forces/stresses are regarded as the excitation sources to generate a series of double-frequency CGW modes that constitute the second-harmonic field of the primary CGW propagation.
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A deeply anti-realist family of approaches to modal metaphysics has been developed, though: modal fictionalism.
The semantics is not always carried out in relational terms (i.e., with Kripke Frames) but is done often algebraically (see Blackburn et al. 2001 for details of the algebraic approach to modal logic).
where Φ is the matrix of mode shapes φ i and Λ is a diagonal matrix whose elements are ω i 2. In fact, expression (3) is the complete form of the simulation approach for modal identification.
A new approach to identification of modal damping ratios from free vibration response of a linear structure with viscous damping is proposed in this paper.
Working with the state-space representation of a dynamical system, the variational Bayes approach for identification of modal parameters is derived by ignoring statistical correlation between latent variables and the model parameters.
This paper presents a new approach to modal synthesis for rendering sounds of virtual objects.
Using both approaches, numerical predictions of modal Q-factors are developed and compared.
Rasga et al. 2010 defines a categorical approach of fusion for modal logic systems labelled with truth values, and it is shown that the preservation of completeness requires some careful assumptions, while soundness is preserved without further provisos.
A new time series approach for the estimation of modal parameters of randomly excited structures is presented in this paper.
The classical substructuring approach to the problem of modal analysis of structures suffers from a number of drawbacks which can sometimes lead the analyst to prefer other, often more cumbersome, techniques.
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