It is commonly stated that a system is parametrically excited if the excitation appears as time-varying coefficients of the equations of motion. It is shown that this statement is contradicted in those structural problems with unconstrained motions whose excitation terms, either boundary forces or displacements, appear as inhomogeneities in the boundary conditions. Yet, these excitations, under pertinent conditions, may cause parametric Hill-type instabilities. It is only when suitable coordinate transformations are introduced or a constrained version of the motions is sought (e.g., via a Bubnov-Galerkin approach) that the parametric nature of the excitation is brought out explicitly and unambiguously.

What is a parametric excitation in structural dynamics? / Lacarbonara, Walter; Antman, S. S.. - ELETTRONICO. - (2008), pp. 1-9. (Intervento presentato al convegno Sixth EUROMECH Nonlinear Dynamics Conference tenutosi a Saint Petersburg, Russia nel giugno 30-luglio 4, 2008).

What is a parametric excitation in structural dynamics?

LACARBONARA, Walter;
2008

Abstract

It is commonly stated that a system is parametrically excited if the excitation appears as time-varying coefficients of the equations of motion. It is shown that this statement is contradicted in those structural problems with unconstrained motions whose excitation terms, either boundary forces or displacements, appear as inhomogeneities in the boundary conditions. Yet, these excitations, under pertinent conditions, may cause parametric Hill-type instabilities. It is only when suitable coordinate transformations are introduced or a constrained version of the motions is sought (e.g., via a Bubnov-Galerkin approach) that the parametric nature of the excitation is brought out explicitly and unambiguously.
2008
Sixth EUROMECH Nonlinear Dynamics Conference
Parametric resonance; geometrically exact approach; cable; rod; shell; Mathieu-Hill instability.
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
What is a parametric excitation in structural dynamics? / Lacarbonara, Walter; Antman, S. S.. - ELETTRONICO. - (2008), pp. 1-9. (Intervento presentato al convegno Sixth EUROMECH Nonlinear Dynamics Conference tenutosi a Saint Petersburg, Russia nel giugno 30-luglio 4, 2008).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/53279
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