Flutter analysis by refined 1D dynamic stiffness elements and doublet lattice method

Pagani, Alfonso; Petrolo, Marco; Carrera, Erasmo

doi:10.12989/aas.2014.1.3.291

Cited by 6 publications

(2 citation statements)

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“…Varello et al (2013) extended the 1D CUF static aeroelastic formulation by exploiting a 3D panel aerodynamic method. Unsteady aeroelasticity for flutter analyses has been dealt with by Pagani et al (2014a) and Petrolo (2012Petrolo ( , 2013 through the Doublet Lattice Method (DLM). FEs and the DSM were employed to solve the aeroelastic problem.…”

Section: Aeroelasticitymentioning

confidence: 99%

Recent developments on refined theories for beams with applications

Carrera

Pagani

Petrolo

et al. 2015

Mechanical Engineering Reviews

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100

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This paper is a review of the most influential approaches to developing beam models that have been proposed over the last few decades. Essentially, primary attention has been paid to isotropic structures, while a few extensions to composites have been given for the sake of completeness. Classical models -Da Vinci, Euler-Bernoulli and Timoshenko -are described first. All those approaches that are aimed at the improvement of classical theories are then presented by considering the following main techniques: shear correction factors, warping functions, Saint-Venant based solutions and decomposition methods, variational asymptotic methods, the Generalized Beam Theory and the Carrera Unified Formulation (CUF). Special attention has been paid to the latter by carrying out a detailed review of the applications of 1D CUF and by giving numerical examples of static, dynamic and aeroelastic problems. Deep and thin-walled structures have been considered for aerospace, mechanical and civil engineering applications. Furthermore, a brief overview of two recently introduced methods, namely the mixed axiomatic/asymptotic approach and the component-wise approach, has been provided together with numerical assessments. The review presented in this paper shows that the development of advanced beam models is still extremely appealing, due to the computational efficiency of beams compared to 2D and 3D structural models. Although most of the techniques that have recently been developed are focused on a given number of applications, 1D CUF offers the breakthrough advantage of being able to deal with a vast variety of structural problems with no need for ad hoc formulations, including problems that can notoriously be dealt with exclusively by means of 2D or 3D models, such as complete aircraft wings, civil engineering constructions, as well as multiscale and wave propagation analyses. Moreover, 1D CUF leads to a complete 3D geometrical and material modeling with no need of artificial reference axes/surfaces, reduced constitutive equations or homogenization techniques.Key words : Beams, Refined theories, Structural analysis, Carrera Unified Formulation. Historical review of beam theories starting from Leonardo da VinciBeam models have been developed and exploited extensively over the last few decades for the structural analysis of slender bodies, such as columns, arches, blades, aircraft wings and bridges. The three-dimensional (3D) problem, in a beam model, is reduced to a set of one-dimensional (1D) variables, which only depend on the beam-axis coordinate. 1D structural elements, or beam elements, are simpler and computationally more efficient than 2D (plate/shell) or 3D (solid) elements. For instance, in a finite element (FE) scenario, beam models have no aspect ratio constraints. These features make beams still very appealing for the static and dynamic analyses of structures. Over the years, many beam models have been developed according to different approaches. The main contributions to the development of the beam theory are ...

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Section: Aeroelasticitymentioning

confidence: 99%

Recent developments on refined theories for beams with applications

Carrera

Pagani

Petrolo

et al. 2015

Mechanical Engineering Reviews

Self Cite

100

View full text Add to dashboard Cite

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“…• Buckling [43], free vibration [44,45,46], dynamic response analysis [47] and aeroelasticity [48,49,50].…”

Section: Introductionmentioning

confidence: 99%

High-Fidelity and Computationally Efficient Component-Wise Structural Models: An Overview of Applications and Perspectives

Petrolo

Carrera

2016

AMM

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The Component-Wise approach (CW) is a novel structural modeling strategy that stemmed from the Carrera Unified Formulation (CUF). This work presents an overview of the enhanced capabilities of the CW for the static and dynamic analysis of structures, such as aircraft wings, civil buildings, and composite plates. The CW makes use of the advanced 1D CUF models. Such models exploit Lagrange polynomial expansions (LE) to model the displacement field above the cross-section of the structure. The use of LE allows the improvement of the 1D model capabilities. LE models provide 3D-like accuracies with far fewer computational costs. The use of LE leads to the CW. Although LE are 1D elements, every component of an engineering structure can be modeled via LE elements independently of their geometry, e.g. 2D transverse stiffeners and panels, and of their scale, e.g. fiber/matrix cells. The use of the same type of finite elements facilitates the finite element modeling to a great extent. For instance, no interface techniques are necessary. Moreover, in a CW model, the displacement unknowns are placed along the physical surfaces of the structure with no need for artificial lines and surfaces. Such a feature is promising in a CAD/FEM coupling scenario. The CW approach can be considered as an accurate and computationally cheap analysis tool for many structural problems. Such as progressive failure analyses, multiscale, impact problems and health-monitoring.

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A consistent dynamic stiffness matrix for flutter analysis of bridge decks

Bera

Banerjee

2023

Computers & Structures

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Flutter analysis by refined 1D dynamic stiffness elements and doublet lattice method

Cited by 6 publications

References 40 publications

Recent developments on refined theories for beams with applications

Recent developments on refined theories for beams with applications

High-Fidelity and Computationally Efficient Component-Wise Structural Models: An Overview of Applications and Perspectives

A consistent dynamic stiffness matrix for flutter analysis of bridge decks

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