Analytical and numerical results for vibration analysis of multi-stepped and multi-damaged circular arches

Viola, Erasmo; Dilena, Michele; Tornabene, Francesco

doi:10.1016/j.jsv.2006.07.001

Cited by 90 publications

(35 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Secondly, another aim of the present paper is to demonstrate an efficient application of the differential quadrature approach (Viola and Tornabene, 2005;Tornabene, 2007;Tornabene andViola, 2007, 2008;Viola et al, 2007;Marzani et al 2008), by solving the equations of motion governing the free vibration of functionally graded thick parabolic panels and shells of revolution.…”

Section: Article In Pressmentioning

confidence: 99%

Free vibrations of four-parameter functionally graded parabolic panels and shells of revolution

Tornabene

Viola

2009

European Journal of Mechanics - A/Solids

Self Cite

180

View full text Add to dashboard Cite

Abstract.Basing on the First-order Shear Deformation Theory (FSDT), this paper focuses on the dynamic behaviour of moderately thick functionally graded parabolic panels and shells of revolution. A generalization of the power-law distribution presented in literature is proposed. Two different four parameter power-law distributions are considered for the ceramic volume fraction. Some symmetric and asymmetric material profiles through the functionally graded shell thickness are illustrated by varying the four parameters of power-law distributions. The governing equations of motion are expressed as functions of five kinematic parameters. For the discretization of the system equations the Generalized Differential Quadrature (GDQ) method has been used. Numerical results concerning four types of parabolic shell structures illustrate the influence of the parameters of the power-law distribution on the mechanical behaviour of shell structures considered.

show abstract

Section: Article In Pressmentioning

confidence: 99%

Free vibrations of four-parameter functionally graded parabolic panels and shells of revolution

Tornabene

Viola

2009

European Journal of Mechanics - A/Solids

Self Cite

180

View full text Add to dashboard Cite

show abstract

“…However, the greatest part of the literature deals with straight Euler-Bernoulli beams and very few on cracked curved members [4,5,14,28,29]. A great number of scientific papers have been published evaluating stress intensity factors for cracked beams either with reference to I-beams, under both bending moment and axial load [49,50], or T-beams subjected to a bending moment, shear forces and torsion [51].…”

Section: Damage Modelsmentioning

confidence: 99%

“…Cerri and Ruta [4] studied the direct and the inverse problem related to a damaged doubly hinged plane circular arch by means of measured natural frequencies. Viola et al [29] investigated the in-plane linear dynamic behaviour of multi-stepped and multidamaged circular arches (modelled as massless elastic rotational hinges) under different boundary conditions. All the above-mentioned studies refer to damaged plane arches, and the concentrated structural weakness due to damage has always been modelled by means of the well-known equivalent elastic hinge damage model.…”

mentioning

confidence: 99%

Structural models for the evaluation of eigen-properties in damaged spatial arches: a critical appraisal

2016

View full text Add to dashboard Cite

The paper considers the eigen-properties of spatial arch structures in both undamaged and damaged configurations. In the literature, several models have been proposed for modelling damage, mainly in beamlike structures, based on the concepts of equivalent elastic weakened section, for concentrated damage, or stiffness reduction influence area, for distributed damage. In damage identification procedures, it is needed to numerically represent the actual structure in which a reliable damage model has to be assumed. An unsuitable damage representation may lead to wrong or misleading results that, although consistent with the assumed model, could be not representative of the actual unhealthy condition of the structure. In this paper, focusing the attention on spatial Timoshenko arches, the eigen-properties of the undamaged and the damaged structure are exactly evaluated, consistent with an assumed continuous model, and compared to the corresponding results provided by several detailed finite element simulations based either on mono-or three-dimensional models.In the assumed continuous model, the damage is represented by considering an appropriate reduction, in a certain zone, in the arch cross section. The comparison with the widely adopted spring equivalent model is also made. A comparative parametric study is developed showing the role of damage on the natural frequencies of vibration of spatial arches and allowing to point out some ambiguous results that may lead to false inverse problem solutions.

show abstract

“…Tornabene et al [7] apply GDQ to solve linear dynamics of the arch with different geometrical and boundary conditions. Viola et al [8,9] present a solution of free harmonic vibration problem of multistepped and multidamaged arches by using analytical and GDQ with domain decomposition technique (GDQE) methods. In-plane free vibration of circular arches is worked by Liu and Wu [10] using the generalized differential quadrature rule (GDQR).…”

Section: Introductionmentioning

confidence: 99%

Out‐of‐Plane Vibration of Curved Uniform and Tapered Beams with Additional Mass

Özyiğit

Yetmez

Uzun

2017

Mathematical Problems in Engineering

View full text Add to dashboard Cite

As there is a gap in literature about out-of-plane vibrations of curved and variable cross-sectioned beams, the aim of this study is to analyze the free out-of-plane vibrations of curved beams which are symmetrically and nonsymmetrically tapered. Out-ofplane free vibration of curved uniform and tapered beams with additional mass is also investigated. Finite element method is used for all analyses. Curvature type is assumed to be circular. For the different boundary conditions, natural frequencies of both symmetrical and unsymmetrical tapered beams are given together with that of uniform tapered beam. Bending, torsional, and rotary inertia effects are considered with respect to no-shear effect. Variations of natural frequencies with additional mass and the mass location are examined. Results are given in tabular form. It is concluded that (i) for the uniform tapered beam there is a good agreement between the results of this study and that of literature and (ii) for the symmetrical curved tapered beam there is also a good agreement between the results of this study and that of a finite element model by using MSC.Marc. Results of out-of-plane free vibration of symmetrically tapered beams for specified boundary conditions are addressed.

show abstract

Analytical and numerical results for vibration analysis of multi-stepped and multi-damaged circular arches

Cited by 90 publications

References 42 publications

Free vibrations of four-parameter functionally graded parabolic panels and shells of revolution

Free vibrations of four-parameter functionally graded parabolic panels and shells of revolution

Structural models for the evaluation of eigen-properties in damaged spatial arches: a critical appraisal

Out‐of‐Plane Vibration of Curved Uniform and Tapered Beams with Additional Mass

Contact Info

Product

Resources

About