An efficient formulation for linear and geometric non-linear membrane elements

Rezaiee‐Pajand, Mohammad; Yaghoobi, Majid

doi:10.1590/s1679-78252014000600007

Cited by 13 publications

(5 citation statements)

References 36 publications

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“…It is also realized that RF 4 is exactly similar to the formulations in Refs. [35 , 36] . Upon comparison, it is seen that the degree of freedom

is shared among the normal strain components in RF 3 , which could be one of the causes for the inaccuracies in solving the thick curved beam and Cook's tapered beam problems, apart from being a shortage of one degree of freedom.…”

Section: The Methodsmentioning

confidence: 99%

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Techniques for element formulation and quadtree-based triangular mesh generation for strain-based finite elements

Perumal

Koh

2023

MethodsX

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“…It is also realized that RF 4 is exactly similar to the formulations in Refs. [35 , 36] . Upon comparison, it is seen that the degree of freedom

Section: The Methodsmentioning

confidence: 99%

“…The effect of independence of degrees of freedom on the simulation results is further evidenced by the performance of RF 3 as compared to the finite elements in Refs. [35 , 36] or RF 4 .…”

Section: The Methodsmentioning

confidence: 99%

Techniques for element formulation and quadtree-based triangular mesh generation for strain-based finite elements

Perumal

Koh

2023

MethodsX

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“…Therefore, the element should be rotational invariance. To have this important property, terms of the strain field with a complete order should be selected (Dow, 1999;Rezaiee-Pajand and Yaghoobi, 2012, 2013, 2014 …”

Section: Rotational Invariancementioning

confidence: 99%

A robust triangular membrane element

Rezaiee‐Pajand

Yaghoobi

2014

Lat. Am. j. solids struct.

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To analyze the plane problem with irregular mesh and complicated geometry, it is helpful to utilize the triangular element. In this study, several optimization criteria will be elaborated. By utilizing these provisions and satisfying the equilibrium conditions, a novel triangular element, named SST, is developed. To demonstrate the high accuracy and efficiency of the new element, a variety of structures will be solved. The findings will prove that the presented element has a low sensitivity to the geometric distortion. Moreover, the parasitic shear error will not arise when this element is employed. In addition to these, the proposed element is rotational invariant. Comparison studies will reveal that the SST element is more robust than the other well-known triangular ones.

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“…These elements are widely used in micro-and nano-electromechanical devices (MEMS and NEMS) (Baghani, 2012;Sadeghi et al, 2012;Koochi et al, 2014;Rezaiee-Pajand and Yaghoobi, 2014). Micro/nano-scale mechanical elements are also used in micro-pumps, accelerometers, micro-mirrors and microswitches.…”

Section: Introductionmentioning

confidence: 99%

Analytical Couple-stress Solution for Size-dependent Large-amplitude Vibrations of FG Tapered-nanobeams

Baghani

Mohammadsalehi

Dabaghian

2016

Lat. Am. j. solids struct.

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In this paper, analytical couple-stress solution for size-dependent large-amplitude vibrations of FG (functionally-graded) taperednanobeams is presented. Using the modified couple-stress theory, the small scale effects are accounted for. Employing the Homotopy-Pade Analysis Method, efficient and accurate analytical expressions for the deflection and non-linear frequencies of the both single and double tapered nanobeam are presented. Very good agreement is observed between the present work results and some available results reported in the literature. This study may be helpful to investigate the size-dependent mechanical properties of MEMS\NEMS. Therefore, the proposed analytical solution can be used as an efficient tool for the material or geometrical parametric studies of small scale devices consisting of beams for their design and optimization which involves a large number of simulations.

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An efficient formulation for linear and geometric non-linear membrane elements

Cited by 13 publications

References 36 publications

Techniques for element formulation and quadtree-based triangular mesh generation for strain-based finite elements

Techniques for element formulation and quadtree-based triangular mesh generation for strain-based finite elements

A robust triangular membrane element

Analytical Couple-stress Solution for Size-dependent Large-amplitude Vibrations of FG Tapered-nanobeams

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