Buckling of thick deep laminated composite shell of revolution under follower forces

Khayat, Majid; Poorveis, Davood; Moradi, Shapour; Hemmati, Mona

doi:10.12989/sem.2016.58.1.059

Cited by 17 publications

(12 citation statements)

References 39 publications

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“…The displacement functions of the strip element are derived based on the shape functions considered in the transverse and longitudinal directions of the element (see equation 3). The displacement function presented in the equation 3, is derived based on the FSDT (Khayat et al 2016a). In equation 3, Z(ξ, η) is the displacement of strip element at degree of freedom Z in coordinates ξ and η, j is the number of nodal line and i is the number of knot (node) considered on the j th nodal line, L (η) is the Lagrangian function for the j th nodal line, ϕ (ξ) is the spline function for i th knot, and Z is the unknown multiplier for the j th nodal line, i th knot and degree of freedom Z.…”

Section: Shape Functions Of Strip Elementmentioning

confidence: 99%

“…The determinant of the Jacobian matrix (|J|) is used to transform the integration from actual element to the parent element. It is calculated by equation 15 (Khayat et al 2016a).…”

Section: Jacobian Matrixmentioning

confidence: 99%

“…As it is shown in equation 16, the determinant of Jacobian matrix is only a function of η. Therefore, ξ and η coordinates can be separated in the integration process to calculate the load vector, linear stiffness matrix and geometrical stiffness matrix of strip element and result in decreasing the computational cost dramatically (Khayat et al 2016a). Moreover, the partial derivatives with respect to x and y coordinates are presented in equation 17.…”

Section: Jacobian Matrixmentioning

confidence: 99%

“…In this paper, the strain-displacement relationship is assumed to be Sanders-type (Moradi et al 2011, Khayat et al 2016a, Khayat et al 2016b. As it is illustrated in equation 19, the cylindrical panel strain vector {ε} is comprised of linear part ({ε} l ) and nonlinear part ({ε} nl ).…”

Section: Strain-displacement Relationshipsmentioning

confidence: 99%

See 3 more Smart Citations

A simple spline finite strip for buckling analysis of composite cylindrical panel with cutout

Poorveis

Khajehdezfuly

Moradi

et al. 2019

Lat. Am. j. solids struct.

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In this study, a new sub-parametric strip element is developed to simulate the axially loaded composite cylindrical panel with arbitrary cutout. For this purpose, a code called SSFSM is developed in FORTRAN to analyze the buckling of panels. The first order shear deformation theory is used to form the straindisplacement relations. Spline and Lagrangian functions are used to derive element shape functions in the longitudinal and transverse directions, respectively. The computational cost of the SSFSM is decreased dramatically, as mapping functions of the strip element are very simple. The results obtained from the SSFSM are compared with those of the literature and the results obtained by ABAQUS to show the validity of the proposed approach. A parametric study is performed to show the capability of the SSFSM in calculating the panel buckling load. Results indicate that increasing the panel thickness and panel central angles cause an increase in panel buckling load. The cutout shape is an important factor influencing the panel buckling load. For instance, when the angle between the direction of big chord of the elliptical cutout and compressive load direction are 0 and 90 degrees, the panel buckling load reaches its minimum and maximum magnitude, respectively.

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Section: Shape Functions Of Strip Elementmentioning

confidence: 99%

“…The determinant of the Jacobian matrix (|J|) is used to transform the integration from actual element to the parent element. It is calculated by equation 15 (Khayat et al 2016a).…”

Section: Jacobian Matrixmentioning

confidence: 99%

Section: Jacobian Matrixmentioning

confidence: 99%

Section: Strain-displacement Relationshipsmentioning

confidence: 99%

See 2 more Smart Citations

A simple spline finite strip for buckling analysis of composite cylindrical panel with cutout

Poorveis

Khajehdezfuly

Moradi

et al. 2019

Lat. Am. j. solids struct.

Self Cite

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show abstract

“…Using the Levy's method, they succeeded in presenting the exact solution for many different boundary conditions such as SSSS, FSFS, CSCS, FSSS and SSCS. Recently, Khayat et al [12] used semi-analytical finite strip method in order to investigate the buckling behavior of laminated composite deep as well as thick shells of revolution under follower forces which remain normal to the shell. In addition to the studies reported on elastic buckling, plastic buckling of plates has also been investigated by several researchers.…”

Section: David Publishingmentioning

confidence: 99%

Numerical Study on the Serviceability Performance of Unstiffened and Stiffened Steel Plates

Riahi¹,

Zirakian²,

Sanaati³

et al. 2019

JCEA

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In this paper, the effects of transverse stiffeners for improving the buckling and post-buckling behaviors of thin steel plates under compressive loading have been investigated through consideration of two parameters, i.e. stiffeners number and height. Moreover, the deformations associated with the buckling stability of unstiffened and stiffened plates have been evaluated through detailed comparison. Numerous numerical models have been developed using ABAQUS and the buckling behavior has been studied through performing nonlinear static analyses. Plate's largest deformation has been considered for comparison purposes which may not be necessarily located in the center of the plate surface. The use of stiffeners by and large increases the load-bearing capacity of the plates; however, it is shown that lack of proper detailing of stiffened plates may unfavorably result in the reduction of the load-bearing capacity and, in general, adversely affect the stability performance of such commonly-used slender members.

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A semi-analytical boundary method in investigation of dynamic parameters of functionally graded storage tank

Khayat

Baghlani

Dehghan

2020

J Braz. Soc. Mech. Sci. Eng.

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In this study, semi-analytical boundary method is adopted to examine dynamic parameters of partially fluid-filled cylindrical shells made of functionally graded materials. Material properties are assumed to radially variable in terms of volume fraction of ceramic and metal according to a simple power law distribution. The shells are reinforced by stiffeners in which the material properties of shell and stiffeners are assumed to be continuously graded in thickness direction. Displacements and rotations of the shell middle surface, the liquid velocity potential function and the free surface displacements are approximated by combining polynomial functions in meridian direction and truncated Fourier series and Bessel function. A detailed numerical study is carried out to investigate the effects of different parameters on dynamic response of stiffened functionally graded partially fluid-filled shell.

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Buckling of thick deep laminated composite shell of revolution under follower forces

Cited by 17 publications

References 39 publications

A simple spline finite strip for buckling analysis of composite cylindrical panel with cutout

A simple spline finite strip for buckling analysis of composite cylindrical panel with cutout

Numerical Study on the Serviceability Performance of Unstiffened and Stiffened Steel Plates

A semi-analytical boundary method in investigation of dynamic parameters of functionally graded storage tank

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