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Dynamic behaviour of orthotropic elliptic paraboloid shells with openings
Kutlu Darilmaz 국제구조공학회 2017 Structural Engineering and Mechanics, An Int'l Jou Vol.63 No.2
In this paper a vibration study on orthotropic elliptic paraboloid shells with openings is carried out by using a hybrid stress finite element. The formulation of the element is based on Hellinger-Reissner variational principle. The element is developed by combining a hybrid plane stress element and a hybrid plate element. Natural frequencies of orthotropic elliptic paraboloid shells with and without openings are presented. The influence of aspect ratio, height ratio, opening ratio and material angle on the frequencies and mode shapes are investigated.
Static and free vibration behaviour of orthotropic elliptic paraboloid shells
Kutlu Darılmaz 국제구조공학회 2017 Steel and Composite Structures, An International J Vol.23 No.6
In this paper the influence of aspect ratio, height ratio and material angle on static and free vibration behaviour of orthotropic elliptic paraboloid shells is studied by using a four-node hybrid stress finite element. The formulation of the element is based on Hellinger-Reissner variational principle. The element is developed by combining a hybrid plane stress element and a hybrid plate element. A parametric study is carried out for static and free vibration response of orthotropic elliptic paraboloid shells with respect to displacements, internal forces, fundamental frequencies and mode shapes by varying the aspect and height ratios, and material angle.
Kutlu Darilmaz 국제구조공학회 2012 Steel and Composite Structures, An International J Vol.12 No.4
In this paper the influence of stiffener location, rise/span ratio and fibre orientation on vibration behavior of corner supported hypar shells is studied by using a four-node hybrid stress finite element. The formulation of the element is based on Hellinger-Reissner variational principle. The element is developed by combining a hybrid plane stress element and a hybrid plate element. Benchmark problems are solved to validate the approach and free vibration response of stiffened orthotropic hypar shells is studied both with respect to fundamental frequency and mode shapes by varying the location of stiffeners, rise/span ratio and fiber orientation.
Kutlu Darllmaz 국제구조공학회 2011 Steel and Composite Structures, An International J Vol.11 No.5
In this paper, the influence of fibre orientation and aspect ratio on stability analysis of simply supported skew plates subjected to in plane loading is studied by using a four noded hybrid plate finite element. The formulation of the element is based on Hellinger-Reissner variational principle. The element is developed by combining a hybrid plane stress element and a hybrid plate element. Some numerical problems are solved and the effects of skew angle, aspect ratio, fibre orientation and loading type on the critical buckling loads are highlighted.
Vibration analysis of functionally graded material (FGM) grid systems
Kutlu Darılmaz 국제구조공학회 2015 Steel and Composite Structures, An International J Vol.18 No.2
The paper considers the free vibration analysis of FGM grid systems. Up to now, very little work has been done on this type of system and the paper aspires to fill this gap. Based on the hybrid-stress finite element formulation free vibration solutions for FGM grid systems of various aspect ratios, different types of gradations functions, and support conditions are determined. The tabulation of these results, not available thus far, should be useful to designers and researchers who may use them.
Kutlu Darilmaz 국제구조공학회 2009 Structural Engineering and Mechanics, An Int'l Jou Vol.33 No.5
In this paper a four-node hybrid stress element is proposed for analysing arbitrarily shaped plates on a two parameter elastic foundation. The element is developed by combining a hybrid plate stress element and a soil element. The formulation is based on Hellinger-Reissner variational principle in which both inter element compatible boundary displacement and equilibrated stress fields for the plate as well as the foundation are chosen separately. This formulation also allows a low order polynomial interpolation functions. Numerical examples are presented to show that the validity and efficiency of the present element for the plate analysis resting on an elastic foundation. In these examples the effect of soil depth,interaction between closed plates on soil parameters, comparison with Winkler hypothesis is investigated.
Torsional rigidity of arbitrarily shaped composite sections by hybrid finite element approach
Kutlu Darllmaz,Engin Orakdogen,Konuralp Girgin,Semih Kucukarslan 국제구조공학회 2007 Steel and Composite Structures, An International J Vol.7 No.3
The purpose of this study is to calculate the torsional rigidity of arbitrarily shaped composite sections on the basis of hybrid finite element approach. An analogy is used between the torsion problem and deformation of a plate which exhibits only shear behavior. In the analysis a simple hybrid finite element based on Hellinger-Reissner functional is presented and a set of numerical examples are performed to demonstrate and asses the performance of the developed element in practical applications.
An assumed-stress hybrid element for static and free vibration analysis of folded plates
Kutlu Darilmaz 국제구조공학회 2007 Structural Engineering and Mechanics, An Int'l Jou Vol.25 No.4
A four-node hybrid stress element for analysing orthotropic folded plate structures is presented. The formulation is based on Hellinger-Reissner variational principle. The element is developed by combining a hybrid plane stress element and a hybrid plate element. The proposed element has six degree of freedom per node and permits an easy connection to other type of elements. An equilibrated stress field in each element and inter element compatible boundary displacement field are assumed independently. Static and free vibration analyses of folded plates are carried out on numerical examples to show that the validity and efficiency of the present element.