Interaction of a helical shell with a nonlinear viscous fluid

Girchenko, Anna A.; Eremeyev, Victor A.; Altenbach, Holm

doi:10.1016/j.ijengsci.2012.06.009

Cited by 11 publications

(3 citation statements)

References 9 publications

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“…Girchenko et al [55] studied numerically the interaction of a nonlinear pseudoplastic fluid, with a helical shell. They combined the commercial software FlowVision (finite volumes) and Simulia ABAQUS (finite elements) for showing the differences between Newtonian and NN flows in terms of stresses on the helical structure.…”

Section: Introductionmentioning

confidence: 99%

Fluid–Structure Interaction of a thin cylindrical shell filled with a non-Newtonian fluid

Zippo

Iarriccio

Bergamini

et al. 2023

Journal of Fluids and Structures

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Section: Introductionmentioning

confidence: 99%

Fluid–Structure Interaction of a thin cylindrical shell filled with a non-Newtonian fluid

Zippo

Iarriccio

Bergamini

et al. 2023

Journal of Fluids and Structures

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“…Among them, a very important point is to address loss of stability problem (see, e.g., [84,85]). For a careful modeling of the interfaces between the main mechanical structure and piezoelectric patches, we refer, for example, to [3,4,86,87].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear finite element modeling of vibration control of plane rod-type structural members with integrated piezoelectric patches

Chróścielewski

Schmidt

Eremeyev

2018

Continuum Mech. Thermodyn.

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This paper addresses modeling and finite element analysis of the transient large-amplitude vibration response of thin rod-type structures (e.g., plane curved beams, arches, ring shells) and its control by integrated piezoelectric layers. A geometrically nonlinear finite beam element for the analysis of piezolaminated structures is developed that is based on the Bernoulli hypothesis and the assumptions of small strains and finite rotations of the normal. The finite element model can be applied to static, stability, and transient analysis of smart structures consisting of a master structure and integrated piezoelectric actuator layers or patches attached to the upper and lower surfaces. Two problems are studied extensively: (i) FE analyses of a clamped semicircular ring shell that has been used as a benchmark problem for linear vibration control in several recent papers are critically reviewed and extended to account for the effects of structural nonlinearity and (ii) a smart circular arch subjected to a hydrostatic pressure load is investigated statically and dynamically in order to study the shift of bifurcation and limit points, eigenfrequencies, and eigenvectors, as well as vibration control for loading conditions which may lead to dynamic loss of stability.

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“…Other examples of cylinders with helical anisotropy are arterial vessels of muscular type [39,44,58], helical microdevices used in arterial vessels [24,25], ropes [23] and such natural structures as pore-forming proteins or viral helical coats for transmembrane channels [45]. Recently the interest to such chiral materials grows with respect to modeling new composites including the ones based on woven fibers [12,21,43].…”

mentioning

confidence: 99%

Saint-Venant problem for solids with helical anisotropy

Kurbatova

Ustinov

2015

Continuum Mech. Thermodyn.

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We discuss the solution of Saint-Venant's problem for solids with helical anisotropy. Here the governing relations of the theory of elasticity in terms of displacements were presented using the helical coordinate system. We proposed an approach to construct elementary Saint-Venant solutions using integration of ordinary differential equations with variable coefficients in the case of a circular cylinder with helical anisotropy. Elementary solutions correspond to problems of extension, of torsion, of pure bending and of bending of shear force. The solution of the problem is obtained using small parameter method for small values of twist angle and numerically for arbitrary values. Numeric results correspond to problems of extensiontorsion. Dependencies of the stiffness matrix (in dimensionless form) on angle between the tangent to the helical coil and the axis of the cylinder corresponding to stiffness on stretching and torsion are illustrated graphically for different values of material and geometrical parameters.

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Interaction of a helical shell with a nonlinear viscous fluid

Cited by 11 publications

References 9 publications

Fluid–Structure Interaction of a thin cylindrical shell filled with a non-Newtonian fluid

Fluid–Structure Interaction of a thin cylindrical shell filled with a non-Newtonian fluid

Nonlinear finite element modeling of vibration control of plane rod-type structural members with integrated piezoelectric patches

Saint-Venant problem for solids with helical anisotropy

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