This paper presents a novel approach for analyzing the free vibration response of variable-stiffness panels. A method is proposed herein, which relies upon a combination of the R-functions and the Ritz method. A powerful and peculiar aspect of this approach consists in the possibility of handling any complex geometry with reduced modeling effort and few degrees of freedom to be handled. The so-obtained formulation is of particular interest for the early design studies of plate- and shell-like structures, especially when topological features are of concern. Specifically, the possibility of studying configurations of arbitrary shape with reduced effort is of crucial importance for exploiting the potential offered by composites with nonstraight fibers. Exemplary results are presented for structures with different geometries and shapes. The comparison against results from the literature and finite element calculations reveals the potential of the approach as a valuable mean for assisting the design of innovative variable-stiffness configurations.

Ritz R-Function Method for the Analysis of Variable-Stiffness Plates

Vescovini, Riccardo
2023-01-01

Abstract

This paper presents a novel approach for analyzing the free vibration response of variable-stiffness panels. A method is proposed herein, which relies upon a combination of the R-functions and the Ritz method. A powerful and peculiar aspect of this approach consists in the possibility of handling any complex geometry with reduced modeling effort and few degrees of freedom to be handled. The so-obtained formulation is of particular interest for the early design studies of plate- and shell-like structures, especially when topological features are of concern. Specifically, the possibility of studying configurations of arbitrary shape with reduced effort is of crucial importance for exploiting the potential offered by composites with nonstraight fibers. Exemplary results are presented for structures with different geometries and shapes. The comparison against results from the literature and finite element calculations reveals the potential of the approach as a valuable mean for assisting the design of innovative variable-stiffness configurations.
2023
Structural Analysis, Mechanical and Structural Vibrations, Numerical Integration, Rayleigh-Ritz Method, R-Functions, Variable Stiffness Structures
File in questo prodotto:
File Dimensione Formato  
VESCR02-23.pdf

Accesso riservato

: Publisher’s version
Dimensione 1.95 MB
Formato Adobe PDF
1.95 MB Adobe PDF   Visualizza/Apri
VESCR_OA_02-23.pdf

Open Access dal 18/03/2023

: Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione 2.84 MB
Formato Adobe PDF
2.84 MB Adobe PDF Visualizza/Apri

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/11311/1232483
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 1
social impact