Nonlinear closed-form high-order analysis of curved sandwich panels

Bozhevolnaya, Elena; Frostig, Y.

doi:10.1016/s0263-8223(97)00073-1

Cited by 46 publications

(38 citation statements)

References 15 publications

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“…A typical construction of a beam consists of two skins and a core. Numerous references can be found in literature covering the debonding problem (Frostig, 1992), buckling problem (Librescu and Hause, 2000), and dynamic mechanical problem of curved (Bozhevolnaya and Frostig, 1997) or non-curved beams (Frostig and Baruch, 1994). Many works proved that the transverse flexibility of the core affects the overall behaviors of sandwich beams, such as stresses and displacements (Librescu and Hause, 2000;Frostig and Baruch, 1994).…”

Section: Introductionmentioning

confidence: 99%

Use of magnetorheological elastomer in an adaptive sandwich beam with conductive skins. Part II: Dynamic properties

Zhou

Wang

2006

International Journal of Solids and Structures

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The second part of this research is to present the field-dependant dynamic property of a sandwich beam with conductive skins and a soft core composed of a magnetorheological elastomer (MRE) part and two non-MRE parts. The MRE part of the core is configured to operate in shear mode and hence the dynamic properties of the sandwich beam can be controlled by magnetic fields due to the field-dependant shear modulus of MRE material. According to the analytical solution for the magnetoelastic loads applied to conductive deformable bodies presented in the first part, the model of the proposed sandwich beam is developed via Hamilton principle. A simply supported MRE-based sandwich beam excited by a vertical force distributed uniformly in a narrow region around the center of the beam is simulated. The anti-resonant frequencies and the resonant frequencies are found to change with the applied magnetic field up to 30%. The procedure to seek the optimal length of MRE part is also presented. Although MRE is a soft material with shear modulus about 0.4 Mpa, this research indicates that the sandwich configuration can well utilize the controllable property of MRE to design applicable smart devices with controllable stiffness.

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Section: Introductionmentioning

confidence: 99%

Use of magnetorheological elastomer in an adaptive sandwich beam with conductive skins. Part II: Dynamic properties

Zhou

Wang

2006

International Journal of Solids and Structures

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“…In recent years, the effects of incorporating a vertical flexible core on the local and overall behavior of the flat and curved sandwich panels have been implemented through the use of the high-order theory (HSAPT); see [Frostig et al 1992] for flat panels, [Bozhevolnaya and Frostig 1997] for nonlinear behavior, [Bozhevolnaya 1998] on shallow sandwich panels, [Karayadi 1998] on cylindrical shells, [Frostig 1999] on the linear behavior of curved sandwich panels, [Bozhevolnaya and Frostig 2001] on the free vibration of curved panels, and [Thomsen and Vinson 2001] on composite sandwich aircraft fuselage structures.…”

Section: Antecedentsmentioning

confidence: 99%

“…The field equations and the boundary conditions are derived following the steps of the HSAPT approach for the curved sandwich panel [Frostig 1999;Bozhevolnaya and Frostig 1997]. The field equations are derived using the variational principle of extremum of the total potential energy:…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…The sandwich panel consists of two aluminum face sheets of a thickness of 1 mm and an H60 PVC foam core made by Devinicell with E c = 56.7 MPa and G c = 22 MPa and with a thickness of 25 mm. The geometry of the curved panel is that of an experimental set-up used in [Bozhevolnaya and Frostig 1997;Bozhevolnaya 1998]; see prevents circumferential displacement in addition to the other constraints. The simply supporting system is denoted by ss1 and the clamped one by cl1.…”

Section: Numerical Studymentioning

confidence: 99%

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Nonlinear behavior of thermally loaded curved sandwich panels with a transvesely flexible core

Frostig¹,

Thomsen²

2009

J. Mech. Solids Struct.

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The nonlinear analysis of a curved sandwich panel with a compliant core subjected to a thermal field and mechanical load is presented. The mathematical formulation is developed first, along with the solution of the stress and displacement fields for the case of a sandwich core with mechanical properties that are independent of the temperature. The nonlinear analysis includes geometrical nonlinearities in the face sheets caused by rotation of the face cross sections and high-order effects due to the transversely flexible core. The mathematical formulation uses the variational principle of minimum energy along with HSAPT (high-order sandwich panel theory) to derive the nonlinear field equations and the boundary conditions. The full displacement and stress fields of the core with uniform temperature-independent mechanical properties and the appropriate governing equations of the sandwich panel are given. This is followed by the general solution of the core stress and displacement fields when the mechanical core properties are dependent on the radial (through-the-thickness) coordinate. The displacement fields of a core with temperature-dependent mechanical properties are determined explicitly using an equivalent polynomial description of the varying properties.A numerical study then describes the nonlinear response of curved sandwich panels subjected to concentrated and distributed mechanical loads, thermally induced deformations, and simultaneous thermal and mechanical loads where the mechanical load is below the limit load level of the mechanical response and the imposed temperature field is made to vary. The results reveal that the thermomechanical response is linear when the sandwich panel is heated, but becomes nonlinear with limit point behavior when the panel is cooled down.

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“…Their theory does not impose any restriction on the deformation distribution through the thickness of the core. Bozhevolnaya and Frostig (1997) studied the static analysis of open single curved sandwich panels and uses high order theory to demonstrate the influence of the geometrical nonlinearity on the overall and local behaviors of the sandwich panel. The postbuckling analysis of geometrically imperfect anisotropic sandwich doubly-curved panels under compressive edge loads and a lateral pressure was done by Hause et al (1998) who assumed the core and the face sheets to be incompressible in the transverse normal direction.…”

Section: Introductionmentioning

confidence: 99%

Improved high-order bending analysis of double curved sandwich panels subjected to multiple loading conditions

Fard

Livani

Veisi

et al. 2014

Lat. Am. j. solids struct.

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For the first time, the bending analysis of a double curved sandwich panel was presented which was subjected to point load, uniform distributed load on a patch, and harmonic distributed loads and was based on a new improved higher order sandwich panel theory. Since the cross-sectional warping was accurately modeled by this theory, it did not require any shear correction factor. Also, the present analysis incorporated trapezoidal shape factor (the 1+z/R terms) of a curved panel element. Geometry was used for the consideration of different radii curvatures of the face sheets, while the core was unique. Unlike most of other reference works, the core can have non-uniform thickness. The governing equations were derived by the principle of minimum potential energy. The effects of types of boundary conditions, types of applied loads, core to panel, and radii curvatures ratios on the bending response were also studied.

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Nonlinear closed-form high-order analysis of curved sandwich panels

Cited by 46 publications

References 15 publications

Use of magnetorheological elastomer in an adaptive sandwich beam with conductive skins. Part II: Dynamic properties

Use of magnetorheological elastomer in an adaptive sandwich beam with conductive skins. Part II: Dynamic properties

Nonlinear behavior of thermally loaded curved sandwich panels with a transvesely flexible core

Improved high-order bending analysis of double curved sandwich panels subjected to multiple loading conditions

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