The mixed strip method using combination splines for plate bending

Sun, Guangyong; Kleeberger, Michael

doi:10.1016/s0965-9978(98)00118-5

Cited by 3 publications

(6 citation statements)

References 13 publications

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“…According to the FSDT [ 29 ], the displacement field

for an optional point can be written as [ 28 ]:

where u , v and w refer to the middle surface displacements of shell domain along x, y, and z directions, respectively. Also,

and

refer to the normal transverse rotations at the edge of the sheet around the x and θ axes respectively.…”

Section: Modeling Of the Problem And Theoretical Formulationmentioning

confidence: 99%

“…Also,

and

refer to the normal transverse rotations at the edge of the sheet around the x and θ axes respectively. On the basis of Sanders strain-displacement relations, the linear and nonlinear components of strain-displacement can be defined as [ 29 ]:

…”

Section: Modeling Of the Problem And Theoretical Formulationmentioning

confidence: 99%

“…Furthermore, recently, buckling problem of composite cylindrical shells are reported by Refs. [ [25] , [26] , [27] , [28] , [29] , [30] , [31] , [32] ]. Fathollahi et al [ 33 ] examined the Investigation of the impact of radiation on 2D MHD Al 2 O 3 unsteady water stream through parallel compression plate AGM and HPM.…”

Section: Introductionmentioning

confidence: 99%

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Buckling analysis of laminated composite elliptical shells using the spline finite strip procedure

Korkeai,

Alizadeh,

Poorveis

et al. 2023

Heliyon

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“…According to the FSDT [ 29 ], the displacement field

for an optional point can be written as [ 28 ]:

where u , v and w refer to the middle surface displacements of shell domain along x, y, and z directions, respectively. Also,

and

refer to the normal transverse rotations at the edge of the sheet around the x and θ axes respectively.…”

Section: Modeling Of the Problem And Theoretical Formulationmentioning

confidence: 99%

“…Also,

and

…”

Section: Modeling Of the Problem And Theoretical Formulationmentioning

confidence: 99%

See 1 more Smart Citation

Buckling analysis of laminated composite elliptical shells using the spline finite strip procedure

Korkeai,

Alizadeh,

Poorveis

et al. 2023

Heliyon

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“…This kind of combination based on the results of references [16], [17], is given in [18], here we review and introduce this combination based on our proposal in order to compare the published integration tables as well as the obtained results in both studies.…”

Section: A Combined B2-spline (Cb2)mentioning

confidence: 99%

Plate Bending Spline Finite Strip Models Using Mixed Formulation and Combined Spline Series

Ahmed¹,

Barony²

2019

EJERS

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As Classical and Spline finite strip method based on stiffness and mixed variational formulation principle become important tool for continuum structural analysis , especially in the field of plate bending problems , a lot of researches has been focused on interpolation functions in order to improve the efficiency and increase the reliability of the method. The main objective of this paper is to introduce and propose a new spline interpolation function in the light of combination techniques of basic splines through introduction and brief review of previous studies in this field. This work which uses abbreviated form of augmented matrix proposed by authors published in past time , reveals a very good accordance results compared with the analytical and published solutions of different plate bending problems.

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“…This later development paved the way to mixed formulation can be extended and applicable to the Finite Strip Method [9]. Although this Mixed Formulation is a matter of many researches for Finite Element Method (FEM) for plate and shell analysis [10]- [13] as well as Finite Strip Method (FSM) for plate bending problems [14] [15], but the explicit forms of the Augmented Matrix, were not given for some reasons such as in [3][4]. This paper describes the construction of this augmented matrix and presents its explicit form through systematic way in order to overcome the size difficulty for spline finite strip plate bending.…”

Section: Introductionmentioning

confidence: 99%

Derivation of Explicit Augmented Spline Finite Strip Matrix Using Mixed Formulation For Plate Bending

Ahmed¹,

Barony²

2019

EJERS

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Although Spline finite strip method for the analysis of plate bending based on a mixed variational formulation principle , using a variety B-Spline series as interpolation function was widely used in researches , the explicit form of the Augmented Matrix nowhere given. This leads to some difficulties concerning the verification and understanding the published results. The main objective of this paper is to introduce this matrix in abbreviated size through a detailed review of the mixed formulation for different spline finite strip models. The derived matrix will be helpful subject of research future work as it is examined by the time, reveals a very good accordance results compared with the analytical and published solutions of different plate bending problems as the reader can verified.

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The mixed strip method using combination splines for plate bending

Cited by 3 publications

References 13 publications

Buckling analysis of laminated composite elliptical shells using the spline finite strip procedure

Buckling analysis of laminated composite elliptical shells using the spline finite strip procedure

Plate Bending Spline Finite Strip Models Using Mixed Formulation and Combined Spline Series

Derivation of Explicit Augmented Spline Finite Strip Matrix Using Mixed Formulation For Plate Bending

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