Geometric nonlinear analysis of prismatic shells using the semi-analytical finite strip method

Borković, Aleksandar; Kovacevic, Sasa; Milašinović, Dragan D.; Radenković, G.; Mijatović, Ognjen; Golubović-Bugarski, Valentina

doi:10.1016/j.tws.2017.03.033

Cited by 19 publications

(18 citation statements)

References 56 publications

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“…Due to this advantage, the method is widely used in the structural analysis of engineering structures. Some recent publications on different problems are included in the reference list [47][48][49][50][51][52][53][54][55]. All the articles are published in the Thin-Walled Structures journal as a major forum for the development of the finite strip method.…”

Section: Introductionmentioning

confidence: 99%

A finite strip for the vibration analysis of rotating cylindrical shells

Senjanović

Ćatipović

Alujević

et al. 2018

Thin-Walled Structures

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In this article, a two-node finite strip with eight degrees of freedom for the free vibration analysis of pre-stressed rotating cylindrical shells is formulated. The circumferential mode shape profiles are described exactly using trigonometric functions. The axial mode shape profiles are approximated by bar and beam shape functions for membrane and bending displacements, respectively. In this way, a semi-analytical formulation is facilitated so that discretisation is required only in the axial direction. The accuracy and convergence of the developed finite strip are confirmed by comparisons with the analytical results. Excellent agreement is observed both for stationary and rotating shells.

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Section: Introductionmentioning

confidence: 99%

A finite strip for the vibration analysis of rotating cylindrical shells

Senjanović

Ćatipović

Alujević

et al. 2018

Thin-Walled Structures

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“…and the series used for the approximation of reference geometry, Eq. (2), reduce to the classic ones used in the semi-analytical FSM, [21]:…”

Section: Isogeometric Finite Strip Formulation For a Singly Curved Shellmentioning

confidence: 99%

“…If the trigonometric series are employed, the formulation is considered as the semi-analytical method. For structures with regular geometries, it has several advantages over the FE method, [18], [19], [20], [21], [22]. There is another type of the method named the spline FSM.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of singly curved shells using the isogeometric finite strip method

Borković

Radenković

Majstorović

et al. 2020

Thin-Walled Structures

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A novel method for the spatial discretization of two-dimensional domains is derived and applied to the problem of free vibrations of singly curved shells. This new method utilizes a tensor product of two independent families of lines to discretize the geometry and kinematics of a surface. The first family consists of NURBS functions which are implemented in agreement with the isogeometric approach. The second family of lines is a carefully selected series which satisfies boundary conditions a priori. The present hybrid formulation unifies spatial discretization schemes of the semi-analytical Finite strip method and the Isogeometric analysis. The obtained method inherits many features of both of the underlying techniques, e.g., high continuity in both directions, decoupling of the governing equations, and exact initial geometry. Thorough numerical analysis shows that this novel method is well-suited for the efficient and accurate free vibration analysis of singly curved thin shells.

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“…An analysis of the buckling-mode interaction is carried out in [7], taking into account the viscoelastic behaviour of material. Furthermore, to address these issues, strips with nonuniform characteristics in the longitudinal direction and transverse stiffeners have been used in geometrical non-linear static analysis of prismatic shells [8]. A very important effort for improvement of this approach is done via parallelization.…”

Section: Faculty Of Civil Engineering Subotica University Of Novi Samentioning

confidence: 99%

Influence of Mode Interactions on Inelastic Buckling Effective Stresses in Thin-Walled Columns Using Finite Strip Method

Milašinović¹,

Maric²,

Živanov³

et al. 2019

Zbornik GFS

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The inelastic buckling, free vibration and damage of prismatic thin-walled columns, considering two sources of non-linearity (geometrical non-linearity due to large deflection and material non-linearity due to inelastic behaviour), are analysed by implementing the semi-analytical finite strip method (FSM). A very basic continuum damage model with one damage parameter is implemented in conjunction with a mathematical material modelling approach named rheological-dynamical analogy (RDA) in order to address stiffness reduction due to inelastic behaviour. The RDA is a type of inelastic analysis, which transforms one category of very complicated material non-linear problems to simpler linear dynamical problems using modal analysis. The effective stress, as defined in the damage mechanics, is used in this paper. An analysis of damaged composite thin-walled wide-flange columns made of a polymer resin, which is reinforced with fibrous material, is carried out. Numerical examples computed by application of extensive hybrid parallelization present the influence of mode interactions on the damage variables and effective stresses in thin-walled columns.

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Geometric nonlinear analysis of prismatic shells using the semi-analytical finite strip method

Cited by 19 publications

References 56 publications

A finite strip for the vibration analysis of rotating cylindrical shells

A finite strip for the vibration analysis of rotating cylindrical shells

Free vibration analysis of singly curved shells using the isogeometric finite strip method

Influence of Mode Interactions on Inelastic Buckling Effective Stresses in Thin-Walled Columns Using Finite Strip Method

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