Advanced 1D Structural Models for Flutter Analysis of Lifting Surfaces

Petrolo, Marco

doi:10.5139/ijass.2012.13.2.199

Cited by 11 publications

(11 citation statements)

References 61 publications

(57 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The strength of CUF TE 1D models in dealing with arbitrary geometries, thin-walled structures and identifying local effects are well known for both static (Carrera et al 2012) and free-vibration analysis (Petrolo et al 2012). In recent works, Varello et al (2011) extended CUF 1D to steady aeroelasticity by using the Vortex Lattice Method (VLM), whereas DLM was used in (Petrolo 2012(Petrolo , 2013 in the framework of CUF for flutter analyses.…”

Section: Introductionmentioning

confidence: 99%

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

Pagani¹,

Petrolo²,

Carrera³

2014

Advances in aircraft and spacecraft science

Self Cite

View full text Add to dashboard Cite

An advanced model for the linear flutter analysis is introduced in this paper. Higher-order beam structural models are developed by using the Carrera Unified Formulation, which allows for the straightforward implementation of arbitrarily rich displacement fields without the need of a-priori kinematic assumptions. The strong form of the principle of virtual displacements is used to obtain the equations of motion and the natural boundary conditions for beams in free vibration. An exact dynamic stiffness matrix is then developed by relating the amplitudes of harmonically varying loads to those of the responses. The resulting dynamic stiffness matrix is used with particular reference to the Wittrick-Williams algorithm to carry out free vibration analyses. According to the doublet lattice method, the natural mode shapes are subsequently used as generalized motions for the generation of the unsteady aerodynamic generalized forces. Finally, the g-method is used to conduct flutter analyses of both isotropic and laminated composite lifting surfaces. The obtained results perfectly match those from 1D and 2D finite elements and those from experimental analyses. It can be stated that refined beam models are compulsory to deal with the flutter analysis of wing models whereas classical and lower-order models (up to the second-order) are not able to detect those flutter conditions that are characterized by bending-torsion couplings.

show abstract

Section: Introductionmentioning

confidence: 99%

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

Pagani¹,

Petrolo²,

Carrera³

2014

Advances in aircraft and spacecraft science

Self Cite

View full text Add to dashboard Cite

show abstract

“…Howard, [3] predicted of Flutter of a rectangular cantilever wing using the finite element method and the doublet lattice method in forming the aeroelastic model with Lagrange's equation. Petrolo,[4] studied An Advanced 1-D Structural Models for Flutter Analysis of Lifting Surfaces. Refined 1-D structural model were coupled with the doublet lattice method, and the g-method was used for flutter analyses.…”

Section: Introductionmentioning

confidence: 99%

“…Paper: ASAT-15-169-ST 2 A vast range of aerodynamic models have been utilized for solving many aeroelastic problems, from strip theories to Reynolds-averaged Navier-Stokes (RANS) theory, [4]. The doublet point method (DPM) has been proposed by Ueda and Dowell, [5], which will be utilized in this paper.…”

Section: Introductionmentioning

confidence: 99%

Flutter Investigation of Isotropic 3-D Wings

Haidar¹,

Kamel²,

Shabka³

et al. 2013

International Conference on Aerospace Sciences and Aviation Tec

View full text Add to dashboard Cite

The aeroelastic characteristics of wing depend upon the relationship between its aerodynamic and structural properties of the wing box. In the present work the wing box structure has been modeled using linear equivalent plate approach. The mass and stiffness matrices are calculated for a wing composed of skin, spars, and ribs based on simple polynomial functions. The static and dynamic responses to external loads are calculated for a short plate, and a wing box. The doublet point method has been used for calculating the effect of unsteady aerodynamic loads on harmonically oscillating wing in subsonic flow. Using the standard eigenvalue methodology, the solutions for the resulting complex eigenvalue problem are obtained. The V-g method has been used for determining the flutter speed of rectangle wing by calculating the natural frequencies and damping ratios. The obtained results show good agreement with published results. A parametric study has been carried out to obtain the effect of changing the thickness of skin on the flutter speed. The influence of the aspect ratio on the wing flutter speed has been shown that the flutter speed decreases when the aspect ratio increases.

show abstract

“…The results from classical (EBBT and TBT) and N = 1 models were not reported since these models are not able to detect flutter conditions with torsional/bending couplings. At least a third-order beam model (N = 3) is required to detect accurate flutter conditions as also shown with detailed comparisons with plate models in Petrolo (2012Petrolo ( , 2013.…”

Section: Flutter Analysis Of Lifting Surfacesmentioning

confidence: 99%

“…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

Self Cite

100

View full text Add to dashboard Cite

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 ...

show abstract

Advanced 1D Structural Models for Flutter Analysis of Lifting Surfaces

Cited by 11 publications

References 61 publications

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

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

Flutter Investigation of Isotropic 3-D Wings

Recent developments on refined theories for beams with applications

Contact Info

Product

Resources

About