The equation of motion of linear dynamic systems with viscoelastic memory is usually expressed in a integrodifferential form, and its numerical solution is computationally heavy. In two recent papers, the writers suggested that the system memory be accounted for through the introduction of a number of additional internal variables. Following this approach, the motion of the system is governed by a set of first-order, linear differential equations, whose solution is quite easy. In this paper, the approach is extended to single-degree-offreedom systems subjected to random, nonstationary excitation. The equations governing the time variation of the second-order statistics are derived, and an effective step-by-step solution procedure is proposed. Numerical example shows the accuracy of the procedure for white and nonwhite excitations.

Random vibrations of systems with viscoelastic memory / A., Palmeri; F., Ricciardelli; G., Muscolino; DE LUCA, Antonio. - In: JOURNAL OF ENGINEERING MECHANICS. - ISSN 0733-9399. - STAMPA. - 139:9(2004), pp. 1052-1061.

Random vibrations of systems with viscoelastic memory

DE LUCA, ANTONIO
2004

Abstract

The equation of motion of linear dynamic systems with viscoelastic memory is usually expressed in a integrodifferential form, and its numerical solution is computationally heavy. In two recent papers, the writers suggested that the system memory be accounted for through the introduction of a number of additional internal variables. Following this approach, the motion of the system is governed by a set of first-order, linear differential equations, whose solution is quite easy. In this paper, the approach is extended to single-degree-offreedom systems subjected to random, nonstationary excitation. The equations governing the time variation of the second-order statistics are derived, and an effective step-by-step solution procedure is proposed. Numerical example shows the accuracy of the procedure for white and nonwhite excitations.
2004
Random vibrations of systems with viscoelastic memory / A., Palmeri; F., Ricciardelli; G., Muscolino; DE LUCA, Antonio. - In: JOURNAL OF ENGINEERING MECHANICS. - ISSN 0733-9399. - STAMPA. - 139:9(2004), pp. 1052-1061.
File in questo prodotto:
File Dimensione Formato  
De Luca - Random Vibration of Systems with Viscoelastic Memory.pdf

non disponibili

Tipologia: Documento in Post-print
Licenza: Accesso privato/ristretto
Dimensione 184.21 kB
Formato Adobe PDF
184.21 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/204200
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact