Large-amplitude dynamic analysis of simply supported skew plates by a variational method

Das, Debabrata; Sahoo, Prasanta; Saha, Kashinath

doi:10.1016/j.jsv.2007.11.036

Cited by 19 publications

(14 citation statements)

References 17 publications

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“…Singh et al (2006) considered the vibration behaviour of thermally stressed composite plates whereas Ashour (2009) analyzed free vibration behaviour of symmetrically laminated clamped skew plates. Das et al (2008Das et al ( , 2009) used a variational method to study large amplitude dynamic problem of skew plates under simply supported and clamped boundary conditions. Differential quadrature method has also been used for non-linear vibration problems of laminated composite skew plates (Malekzadeh, 2007(Malekzadeh, , 2008Malekzadeh and Karami, 2006).…”

Section: Introductionmentioning

confidence: 99%

A variational analysis for large deflection of skew plates under uniformly distributed load through domain mapping technique

Das¹,

Sahoo²,

Saha³

2010

Int. J. Eng. Sci. Tech

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In the present paper, the static behaviour of thin isotropic skew plates under uniformly distributed load is analyzed with the geometric nonlinearity of the model properly handled. A variational method based on total potential energy has been implemented through assumed displacement field. The computational work has been carried out on a square normalized domain based on an appropriate domain mapping technique. Validation study for the present work has been carried out quite extensively to establish its accuracy and stability. The developed method is quite general to be applied readily for any classical boundary condition, but to maintain brevity results have been furnished for clamped and simply supported boundaries only.

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Section: Introductionmentioning

confidence: 99%

A variational analysis for large deflection of skew plates under uniformly distributed load through domain mapping technique

Das¹,

Sahoo²,

Saha³

2010

Int. J. Eng. Sci. Tech

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“…Calculated values of {y} are compared with their values in the previous iteration. If the value of the error becomes lower than predefined value, the convergence of the deflection field is found valid, otherwise the calculation processes need to be repeated (Das et al, 2008). The equations of motions are solved numerically in each step.…”

Section: Modeling Of Msmas Thin Platesmentioning

confidence: 99%

Modeling of magnetic shape memory alloy plates for pressure sensor application

Salarieh

Naderi

2020

Journal of Intelligent Material Systems and Structures

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This article investigates the basis for pressure sensor application based on the magnetic shape memory effect in membranes. Von Karmans nonlinear terms are considered in strain–displacement relationships of thin films, and a new method is presented for solution of large deflections of thin films with arbitrary boundary condition. In this study, the equations of motion of magnetic shape memory alloys are extended. In pressurized membranes, the complex distribution of mechanical stress can cause the martensitic reorientation, which is the underlying mechanism for sensing applications in magnetic shape memory alloys. To examine the obtained model, the governing equations of magnetic shape memory alloys are solved for clamped thin films and results are compared with experimental data. Demonstrating good agreement with experimental data, the presented model can be used for analysis of magnetic shape memory alloy–based smart structures. In this article, the deflection profile of the uniformly loaded thin films is determined with different boundary conditions. Furthermore, the center deflection of magnetic shape memory alloy membrane under different magnetic bias field is simulated. The results of simulation can be used for designing a membrane-based pressure sensor using magnetic shape memory alloys.

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“…The mesh in Abaqus are generated by setting the number of elements on the plate radius and one-quarter of the circumference, respectively. Therefore, the following discretizations have been considered: (5, 1), (10,5), (20,15), (30,25), (40,35), (50,45), (60,55). It is remarked that the present models consider the double symmetry of the structure by meshing all plate four quarters in the same way.…”

Section: Circular Platesmentioning

confidence: 99%

On the Convergence of Laminated Composite Plates of Arbitrary Shape through Finite Element Models

et al. 2018

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Abstract:The present work considers a computational study on laminated composite plates by using a linear theory for moderately thick structures. The present problem is solved numerically because analytical solutions cannot be found for such plates when lamination schemes are general and when all the stiffness constants are activated at the constitutive level. Strong and weak formulations are used to solve the present problem and several comparisons are given. The strong form is dealt with using the so-called Strong Formulation Finite Element Method (SFEM) and the weak form is solved using commercial Finite Element (FE) packages. Both techniques are based on the domain decomposition technique according to geometric discontinuities. The SFEM solves the strong form inside each element and needs the implementation of kinematic and static inter-element conditions, whereas the FE solves the weak form and the continuity conditions among the elements are given in terms of displacements only. The results are reported in graphical form in terms of the first three natural frequencies. The accuracy and stability of SFEM and FE are thoroughly discussed.

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Large-amplitude dynamic analysis of simply supported skew plates by a variational method

Cited by 19 publications

References 17 publications

A variational analysis for large deflection of skew plates under uniformly distributed load through domain mapping technique

A variational analysis for large deflection of skew plates under uniformly distributed load through domain mapping technique

Modeling of magnetic shape memory alloy plates for pressure sensor application

On the Convergence of Laminated Composite Plates of Arbitrary Shape through Finite Element Models

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