Static and dynamic analysis of sandwich structures by the method of finite elements

Ahmed, K.M.

doi:10.1016/0022-460x(71)90632-8

Cited by 27 publications

(6 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This example was computed by Ahmed [4]. He considered the motion of a free-free sandwich cylindrical shell having the following material and geometric properties:…”

Section: Free Vibration Of a Free-free Sandwich Cylindermentioning

confidence: 99%

See 1 more Smart Citation

A B‐spline finite element for the dynamic analysis of sandwich shells of revolution

Benjeddou

Hamdi

1996

Engineering Computations

View full text Add to dashboard Cite

Presents a new B‐spline finite element for the dynamic analysis of unsymmetrical sandwich shells of revolution. The formulation takes account of the membrane and bending effects in isotropic or orthotropic elastic facings, and membrane, bending and transverse shearing effects in an isotropic or othotropic elastic core. Both geometry and local displacements are interpolated by a set of B‐spline functions. The main aspects added by the sandwich structure of the element are the transverse shearing and membrane‐bending coupling effects in the core. These are well represented by a set of new variables which are the mean end relative in‐plane displacements of the facing middle surfaces. Together with the transverse displacement, these variables constitute the degrees of freedom (dofs) of this new B‐spline sandwich element. The finite elements are grouped into super‐elements with C1 continuity to obtain the whole finite element model. For each super‐element a total of five dofs per node is then obtained except for its end nodes where the derivatives of these dofs with respect to the meridional co‐ordinate are added. This choice reduces to a minimum the total number of dofs in comparison to existing sandwich elements. Evaluates the efficiency and accuracy of the proposed element through several benchmark examples. Compares the results with the analytical and numerical solutions found in the literature. A very satisfactory behaviour of the element was observed in all test cases.

show abstract

“…This example was computed by Ahmed [4]. He considered the motion of a free-free sandwich cylindrical shell having the following material and geometric properties:…”

Section: Free Vibration Of a Free-free Sandwich Cylindermentioning

confidence: 99%

“…This element was based on Yu's theory [3]. Other finite elements devoted to particular applications were published by the early 1970s [4][5][6]. The quadrilateral element of Ahmed[4] was suitable for the problems of small displacements and large rotations, whereas the axisymmetric element of Engrand and Bordas[5] was convenient to layered shells.…”

mentioning

confidence: 99%

A B‐spline finite element for the dynamic analysis of sandwich shells of revolution

Benjeddou

Hamdi

1996

Engineering Computations

View full text Add to dashboard Cite

show abstract

“…Therefore, the membrane face may be considered to be attached at its mid-surface to the core, as in Reissner's theory 04 '. The lower face shape is defined as follows: (5) and the constants X u , Y H , Z" are similarly determined. Thus, for an element with given shape functions, the following data completely defines the core and face geometry:…”

Section: Element Shapesmentioning

confidence: 99%

Finite elements for honeycomb sandwich plates and shells

Holt

Webber

1980

Aeronaut. j.

View full text Add to dashboard Cite

The honeycomb sandwich type of construction in plate and shell shapes is playing an increasing role in aerospace structures where structural efficiency is important. In some applications, such as wing or control surface trailing edges, the core is of non-constant thickness, and in others, such as engine thrust reverser buckets, the shell shape is doubly curved. Faceplates are commonly manufactured from aluminium, stainless steel or other metals, but the use of anisotropic materials, such as carbon fibre reinforced plastics (CFRP) can be expected to increase in the future.In finite element analysis, as in analytical work, sandwich plates and shells have received far less attention than thin plates and shells. However, elements have been developed specifically for sandwich plates by Barnard, Cook and Bartelds and Ottens. Of these, only the latter allows a non-constant core thickness. Evidently, such elements could be used in a facet shell representation. Only two general (as opposed to axisymmetric) curved elements specifically formulated to deal with sandwich shells seem to have appeared in the literature. Both are subject to deficiencies as noted for thin shells by Morris, and Webber discusses certain geometrical errors in the doubly curved element of Reference 5. Furthermore, both are of limited practical application. It may be concluded, therefore, that there is a need for a honeycomb sandwich shell element which is easy to use and accurate while being capable of modelling the full range of materials and shapes found in practical structures. To this end, a family of elements for use in the linear elastic finite element method is formulated. They are of general doubly curved shape and can be used to approximate thick and thin shells of positive, zero and negative Gaussian curvature in a simple and straightforward manner. They also include anisotropic faces and non-constant core thickness. Degrees of freedom are limited to three displacements at each node, and this allows mixing with other element types.

show abstract

“…Di Taranto [2], Mead and Sivakumaran [3], and Mead and Marcus [4] are pioneering researchers who solved the governing differential equations of motion by using the classical theory and investigated the free vibration of sandwich beams by calculating mode shapes and natural frequencies. The free vibration of curved sandwich beams was studied by Ahmed [5,6] by using the finite element procedure. He also investigated the effect of parameters such as curvature, core rigidity, core-to-face thickness ratio, and core-to-face density ratio on the natural frequencies of curved sandwich beams.…”

Section: Introductionmentioning

confidence: 99%

Exact free vibration of symmetric three-layered curved sandwich beams using dynamic stiffness matrix

Dorostghoal¹,

Zare²,

Mansourkhani³

2020

Comptes Rendus. Mécanique

View full text Add to dashboard Cite

Static and dynamic analysis of sandwich structures by the method of finite elements

Cited by 27 publications

References 6 publications

A B‐spline finite element for the dynamic analysis of sandwich shells of revolution

A B‐spline finite element for the dynamic analysis of sandwich shells of revolution

Finite elements for honeycomb sandwich plates and shells

Exact free vibration of symmetric three-layered curved sandwich beams using dynamic stiffness matrix

Contact Info

Product

Resources

About