Dynamic assessment of nonlinear typical section aeroviscoelastic systems using fractional derivative-based viscoelastic model

Sales, T.P.; Marques, Flávio D.; Pereira, Daniel A.; Rade, Domingos A.

doi:10.1016/j.jsv.2018.02.008

Cited by 15 publications

(11 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Moreover, the model can not only well reflect the process of nonlinear gradual change at primary stage but also present accurately at steady stage and accelerated stage under high stress [1]. As a result, the model has been used in many fields such as viscoelastic mechanics, wave propagation, turbulence, control, stochastic diffusion, biomaterials, random wandering, and molecular spectroscopy [2][3][4][5][6][7]. Soil is a viscoelastic medium, but the application of fractional derivative viscoelastic models to the geotechnical engineering has only just started.…”

Section: Introductionmentioning

confidence: 99%

Theoretical and Numerical Analysis of Soil‐Pipe Pile Horizontal Vibration Based on the Fractional Derivative Viscoelastic Model

Zhang

Niu

Huang

et al. 2021

Advances in Civil Engineering

View full text Add to dashboard Cite

To describe the mechanical properties of the system of pipe pile-soil reasonably and accurately, the constitutive relations of the soil around pile and pile core soil are characterized by the fractional derivative viscoelastic model. We assume that the radial and circumferential displacements of the soil around the pile and pile core soil are the functions of r, θ, and z. The horizontal dynamic control equations of soil layers are derived by using the fractional derivative viscoelastic model. Considering the fractional derivative properties, soil layer boundary condition, and contact condition of pile and soil, the potential function decomposition method is used to solve the radial and circumferential displacements of the soil layer. Then, the force of unit thickness soil layer on the pipe pile and the impedance factor of the soil layer are obtained. The horizontal dynamic equations of pipe pile are established considering the effect of soil layers. The horizontal dynamic impedance and horizontal-swaying dynamic resistance at the pile top are obtained by combining the pipe pile-soil boundary conditions and the orthogonal operation of trigonometric function. Numerical solutions are used to analyze the influence of pile and soil parameters on the soil impedance factor and horizontal dynamic impedance at pile top. The results show that the horizontal impedance factors of the soil layer and horizontal dynamic impedance of pipe pile by using the fractional derivative viscoelastic model can be degraded to those of the classical viscoelastic model and the elastic model. For the fractional derivative viscoelastic model of soil layer, the influence of soil around pile on the dynamic impedance is greater than that of pile core soil. The model parameter TOa, the inner radius of pipe pile, and the pile length have obvious effects on the horizontal impedance of the soil layer and pipe pile, while the influence of the pile core soil on the pile impedance is smaller.

show abstract

Section: Introductionmentioning

confidence: 99%

Theoretical and Numerical Analysis of Soil‐Pipe Pile Horizontal Vibration Based on the Fractional Derivative Viscoelastic Model

Zhang

Niu

Huang

et al. 2021

Advances in Civil Engineering

View full text Add to dashboard Cite

show abstract

“…Apesar de haver na literatura trabalhos similares ao realizado com a seção tipica não linear, como o trabalho de Sales (SALES et al, 2018), a proposta do modelo fracionário segundo a Fórmula de Recorrência seguida de validação experimental é uma importante contribuição, pois serve de conĄrmação dos modelos e comprovação da eĄciência da recorrência. Além disso, um completo desenvolvimento matemático foi feito para idealização dos elementos discretos de rigidez viscoelástica de tal maneira que a representação destes por meio do cálculo fracionário fosse possível.…”

Section: Modelagem De Sistemas Aeroviscoelásticosunclassified

“…No contexto de seção típica com elementos viscoelásticos, Sales (SALES et al, 2018) desenvolveu um modelo não linear de uma seção típica com 3 graus de liberdade onde elementos de rigidez viscoelástica foram idealizados para todos os graus de liberdade e o comportamento em ciclo limite do sistema foi estudado. Para isso, Sales (SALES et al, 2018) faz o uso do modelo de material viscoelástico no domínio do tempo proposto por Galúcio (GALUCIO; DEU; OHAYON, 2004). O mesmo conceito de não linearidade utilizado por Sales (SALES et al, 2018) foi aplicado no modelo de seção típica não linear desenvolvido nesta tese.…”

Section: Modelos De Sistemas Aeroelásticosunclassified

“…Para isso, Sales (SALES et al, 2018) faz o uso do modelo de material viscoelástico no domínio do tempo proposto por Galúcio (GALUCIO; DEU; OHAYON, 2004). O mesmo conceito de não linearidade utilizado por Sales (SALES et al, 2018) foi aplicado no modelo de seção típica não linear desenvolvido nesta tese. Neste mesmo âmbito de inserção de rijezas viscoelásticas em seções típicas, Martins (MARTINS et al, 2017) estudou as velocidades críticas do sistema aeroviscoelástico formado por uma seção típica linear com 2 graus de liberdade onde rijezas viscoelásticas foram introduzidas tanto em plunge, quanto em pitch.…”

Section: Modelos De Sistemas Aeroelásticosunclassified

“…Desta forma, os efeitos não lineares são introduzidos no modelo da seção típica por meio de elementos discretos de rigidez não lineares, seja em plunge ou em pitch. As formas mais comuns de não linearidades deste tipo são molas do tipo hardening , softening (SALES et al, 2018) ou folga (free-play) (OŠNEIL; STRGANAC, 1998). Estes efeitos não lineares serão aplicados somente aos elementos de rigidez elástica, ou seja, nas rijezas da seção típica.…”

Section: Capítulo VI Seção Típica Não Linearunclassified

See 2 more Smart Citations

Abordagem transiente sobre os efeitos do amortecimento viscoelástico na estabilidade aeroelástica de estruturas aeronáuticas

Filho¹,

Garcia²

View full text Add to dashboard Cite

Flutter is a kind of aeroelastic instability caused by the simultaneous interaction of aerodynamic, elastic and inertial forces upon a structure. In the design of1 an aircraft, Ćutter is always a major concern due to its high risk of structural collapse. The constant search for solutions intended to increase aircraft performance and consequently reduce environmental impacts has motivated the use of new concepts, such as high aspect ratio wings and the employment of new materials. However, those solutions become an important structural challenge, since they induce an increase of Ćexibility making the structure prone to Ćutter. Thus, the use of passive vibration control techniques, such as viscoelastic materials may be a feasible solution to increase the system aeroelastic performance as a result of its high structural damping rate. Automotive and aeronautical industries largely employ viscoelastic materials to mitigate noise and small vibrations. Little is known about the real effect of viscoelastic damping to reduce aeroelastic instabilities. In this scenario, aeroelastic models always involve high computational costs and introducing viscoelasticity within it may cause them to be unfeasible. Therefore, the creation and employment of computational low costs models capable of representing the dynamic behavior of aeroviscoelastic systems is a real challenge. The focus here is to create feasible aeroviscoelastic models by applying reduction model techniques and mathematically improving the existent ones. Three kinds of aeroviscoelastic systems has been studied: aeronautical panels, a non linear typical section and a representative high aspect ratio wing. For those, three aerodynamic theories are used: the Piston Theory for panels, the Unsteady WagnerŠs Theory and the Unsteady Strip Theory. Except for the panel models, experimental validation were carried through in wind tunnel.

show abstract

Hybrid control technique applied to an aero-servo-viscoelastic simplified wing model

Martins

Paula

Carneiro

et al. 2022

Aerospace Science and Technology

View full text Add to dashboard Cite

Dynamic assessment of nonlinear typical section aeroviscoelastic systems using fractional derivative-based viscoelastic model

Cited by 15 publications

References 27 publications

Theoretical and Numerical Analysis of Soil‐Pipe Pile Horizontal Vibration Based on the Fractional Derivative Viscoelastic Model

Theoretical and Numerical Analysis of Soil‐Pipe Pile Horizontal Vibration Based on the Fractional Derivative Viscoelastic Model

Abordagem transiente sobre os efeitos do amortecimento viscoelástico na estabilidade aeroelástica de estruturas aeronáuticas

Hybrid control technique applied to an aero-servo-viscoelastic simplified wing model

Contact Info

Product

Resources

About