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2009, Symposium of the International Association For Shell and Spatial Structures Evolution and Trends in Design Analysis and Construction of Shell and Spatial Structures Proceedings
An analytical model for the deflection of a symmetric, spindle shaped Tensairity girder under homogenous load is proposed which can be solved analytically. The results are compared to FEM predictions for a specific Tensairity girder. Further simplifications of the analytical solution lead to a simple relation for the deflection of the Tensairity girder, which reveals the importance of the elasticity of the chords relative to the air pressure in the inflated hull. Such simple models are crucial to understand the basic principles of Tensairity and provide the engineer with easy rules to estimate the load-deflection behaviour of this new light weight structure.
Thin-Walled Structures, 2011
The load bearing behavior of an asymmetric spindle shaped Tensairity girder is studied experimentally and compared to finite element analyses. The influence of the air pressure on the stiffness of the structure is investigated for homogeneous distributed load, asymmetric distributed load and a local load at the center of the structure. An overall good correlation between experiments and finite element predictions was found. An analytical model based on two coupled ordinary differential equations is presented and solved for the homogeneous distributed load case. The role of the form of the Tensairity girder on the stiffness is investigated by comparing the load-deflection behavior of the asymmetric spindle shaped girder with a cylindrical shaped girder.
Tensairity is a new light weight structural concept. It is a unique combination of pneumatic structures and cable-strut structures. The core principle of a tensairity structure is to use the low pressure air inside the hull element to stabilize the compression element from being buckled. The new light weight structure has a variety of applications ranging from wide span roof structures to temporary bridges. In this paper, non-linear static and dynamic analysis of a tensairity spindle shaped beam is done by dividing the thickness of hull element into three layers of equal thickness with different orientation in each layer. The paper also determines the maximum load carrying capacity of a spindle shaped tensairity beam before buckling for different parameters.
Tensairity is a new light weight structural concept. It is a unique combination of pneumatic structures and cable-strut structures. The core principle of a tensairity structure is to use the low pressure air inside the hull element to stabilize the compression element from being buckled. The new light weight structure has a variety of applications ranging from wide span roof structures to temporary bridges. In this paper, the load displacement response of a spindle shaped tensairity beam made with composite hull element is determined for different parameters.
Tensairity is a new light weight structural concept. It is a unique combination of pneumatic structures and cable-strut structures. The core principle of a tensairity structure is to use the low pressure air inside the hull element to stabilize the compression element from being buckled. The new light weight structure has a variety of applications ranging from wide span roof structures to temporary bridges. In this paper, modal analysis of a spindle shaped tensairity beam made with composite hull element is done and natural frequencies are obtained for different parameters.
2012
An analytical approach to torsion of thin-walled beams of open section with one plane of symmetry is considered. The theory of torsion of thin-walled beams of open section with influence of shear, based on the classical Vlasov's theory of thin-walled beams of open section, as well as the Umansky's theory for closed-open sections, is applied. The general transverse loads act in the beam walls, reduced to the moments of torsion with respect to the principal pole (torsion/shear centre) only. The beam will be subjected to torsion with influence of shear with respect to the principal pole and in addition to bending due to shear in the horizontal plane trough the principal pole. The obtained analytical expressions for displacements are applied in the analysis of displacements of the modern container ship hull girder subjected to torsion, as well as in the parametric analysis of simple U sections. Comparisons with the finite element method by applying shell elements are provided.
Journal of Constructional Steel Research, 2003
This paper presents a design procedure for the determination of the ultimate resistance of longitudinally stiffened girder webs to concentrated loads. The influence from the longitudinal stiffener is considered in the slenderness parameter l, through the buckling coefficient k f . This procedure is harmonized with other design procedures currently used for describing buckling problems in steel structures. An expression is developed for the buckling coefficient based on finite element analysis. The interaction between the web plate with flanges and a longitudinal stiffener was considered in the analysis. The ultimate strength according to the design procedure presented herein and the results are compared with available experimental results. The interaction with bending is also investigated.
Brodogradnja
Original scientifi c paper Very large container ships are rather fl exible due to the large deck openings. Therefore, hydroelastic stress analysis is required as a basis for a reliable structural design. In the early design stage, the coupling of the beam model with a 3D hydrodynamic model is rational and preferable. The calculation is performed using the modal superposition method, so natural hull modes have to be determined in a reliable way. Therefore, the advanced thin-walled girder theory, which takes the infl uence of shear on both bending and torsion into account, is applied for calculating the hull fl exural and torsional stiffness properties. A characteristic of very large container ships is the quite short engine room, whose closed structure behaves as an open hold structure with increased torsional stiffness due to the deck effect. The paper deals with the calculation of its effective torsional stiffness parameters by utilizing the energy balance approach. Also, estimation of distortion of transverse bulkheads, as a result of torsion and warping, is given. The procedure is checked by the 3D FEM analysis of a ship-like pontoon. Such a modifi ed beam model of the engine room structure can be included in the general beam model of a ship hull for the need of hydroelastic analysis, where only a few fi rst natural frequencies and mode shapes are required. For practical use in the preliminary design stage of ship structures, the simplicity of the beam model presents an advantage over 3D FEM models.
Mathematical Problems in Engineering
Thin-walled stiffened panels are fundamental structural components that form the primary structure of the ship hull. The effectiveness of the stiffener configuration design needs to be assessed because members are unavoidably subjected to various load types during operations. In this situation, assessment is required to quantify the responses and determine the relationship between the structural resistance and input parameters. The aim of this work was to obtain structural resistance data on the stiffened side hull of a medium-sized tanker with various model configurations by using finite element analysis with different loading parameters, i.e., load type and angle, as the main inputs. The results indicate that stiffener configurations subjected to loads at the center and random positions influence the effectiveness in reducing the deformation. The results show that the stiffener is more effective when the location of the force is very close to the stiffener. Therefore, higher stren...
Ships and Offshore Structures
This paper presents a new methodology to determine the design values of wave-induced hull girder loads acting on ships. The method is based on probabilistic approaches associated with selected scenarios that represent possible events in terms of the ship's functionality, operation and environment. As illustrative examples, the method is used to determine the design values of wave-induced vertical bending moments for as-built ships (a VLCC class tanker, a 9,300 TEU containership and a 22,000 TEU containership) and a hypothetical 25,000 TEU containership. The probabilities of exceedance for wave loads acting on ships are discussed in association with the design load values determined from classification society rules. It is found that both the class rule method and the present method are in good agreement for the considered example ships. The present methodology can of course be applied to determine other components of design wave loads such as horizontal bending moments and torsional moments.
Volume 2: Structures, Safety and Reliability, 2008
Many modern ships, particularly large containerships, are characterized by extreme bow flare, large stern overhang, and low torsional rigidity due to an open deck structural configuration. Software package GL ShipLoad was developed as an aid to assess the structural integrity of such ships. This software tool became the standard method to generate rule based loads for a global strength finite element analysis of sea going displacement ships. It efficiently generates loads based on first principles. A graphical user interface facilitates the convenient application of ship and cargo masses to the finite element model and aids in the selection of relevant design wave situations. User defined selection criteria, such as maximum values of rule based bending moments, shear forces, or torsional moments, specify which waves have to be chosen for the global strength analysis. This approach yields a reduced number of balanced load cases that are sufficient to dimension the hull structure. To adequately simulate roll motion, additional roll angles are analyzed that simulate realistic distributions of torsional moments over the ship length. A strength analysis of a typical post-panamax containership demonstrated the load generation procedure. First, efficiently modeled mass items were grouped into reusable assembled masses for the ship at hydrostatic equilibrium. Second, regular design wave scenarios were estimated, and hydrodynamic pressures for a large number of regular waves were computed. Third, a reduced number of relevant wave situations were automatically selected, and balanced hydrostatic, hydrodynamic, and inertia loads were applied to the finite element model. Enforced roll angles were found to contribute significantly to the initial torsional moment in the fore holds. Finally, based on a locally refined FE submodel of the hatch corners in way of the ship's fore hold, a fatigue analysis was performed to assess effects of critical loading under enforced roll angles.
Engineering Structures, 2009
Tensairity is a new lightweight structural concept consisting of struts and cables stabilized by a textile membrane, which is inflated by low pressurized air. In order to estimate the potential of Tensairity beams towards applications including axial compressive loads, full-scale compression experiments were conducted on a simply-supported spindle shaped Tensairity column. The column was subjected to axial compressive loading for various levels of internal air-pressure in order to quantify its effect on local and global response, and it was found that the axial stiffness of the column increases with air-pressure and eventually reaches a plateau. Displacements were measured in several positions along the span, whereas axial forces were experimentally determined by strain gauges measurements. The experimental results were compared to finite element and analytical predictions, yielding good correlation for low air-pressure levels, whereas for higher ones, local imperfections led to significant deviations. Comparisons of the Tensairity column to similar truss-type structures with comparable stiffness revealed the superiority of the concept in terms of transportation volume and in-situ deployment.
Marine Structures, 2014
The hull girder moment capacity of a very large crude oil carrier (VLCC) called Energy Concentration (EC), for which many benchmark studies have been carried out using the simple progressive collapse method (SPCM), is predicted. In this study, three approaches are used to represent the load-shortening behavior, socalled average compressive strength, of a stiffened panel, comprising the hull section: 1) kinematic displacement theory (KDT); 2) nonlinear finite element analysis (FEA); and 3) simple formulas in the common structural rule (CSR) for tankers. Loadshortening curves for various kinds of stiffened panels in EC are compared for five different scenarios with variations of loadshortening approaches and initial imperfections. In order to verify the effect of load-shortening on the prediction accuracy of the hull girder moment-carrying capacity, load-shortening curves are imported into an SPCM-based in-house program called Ultimate Moment Analysis of Damaged Ships (UMADS). Comparison of the hull girder ultimate strength for general heeling conditions, including hogging and sagging conditions, reveals that the loadshortening curves significantly affect the hull girder momentcarrying capacities. Based on our comparison of these capacities with other benchmark results, it is concluded that nonlinear FEA provided the most conservative results, KDT provided the second most conservative results, and the CSR formulas predicted the upper bound.
Tensairity is a new light weight structural concept. The key principle of Tensairity is to use low pressure air to stabilize compression elements against buckling. The basic Tensairity structure is a beam with the properties of a simple airbeam as light weight, fast set up and compact storage volume but with the load bearing capacity of conventional steel girders. Ideal applications of the Tensairity technology are wide span roof structures, temporary buildings and footbridges.
Ships and Offshore Structures, 2008
A method is presented to estimate the ultimate moment based on a simplified approach to represent the behavior of stiffened plate columns. The assessment of the strength of a very large crude carrier is performed and compared with the moment at failure in hogging estimated by other methods applied to the same case. The proposed method allows the prediction of the degradation of the strength due to corrosion and residual stresses. It also allows the evaluation of the strength of the hull at several heeling conditions. Finally, an analysis of the efficiency of the high tensile steel is carried out. * The elements into which the cross section is subdivided are considered to act and behave independently. 60 MARCH 1996 0022-4502/96/4001-0060$00.45/0 JOURNAL OF SHIP RESEARCH
Journal of Ship Research
A method is presented to estimate the ultimate moment based on a simplified approach to represent the behavior of stiffened plate columns. The assessment of the strength of a very large crude carrier is performed and compared with the moment at failure in hogging estimated by other methods applied to the same case. The proposed method allows the prediction of the degradation of the strength due to corrosion and residual stresses. It also allows the evaluation of the strength of the hull at several heeling conditions. Finally, an analysis of the efficiency of the high tensile steel is carried out. * The elements into which the cross section is subdivided are considered to act and behave independently. 60 MARCH 1996 0022-4502/96/4001-0060$00.45/0 JOURNAL OF SHIP RESEARCH
Ships and Offshore Structures, 2015
The objective of this study is to propose an analysis method of ultimate hull girder strength under combined bending and torsion. The hull girder is modelled by a series of thin-walled beam elements and the average stress-average strain relationship of plate and stiffened panel elements under axial loads considering the effect of shear stress is implemented in the beam elements. First, a torsional moment is applied to the beam model for a whole model within the elastic range. Then, the ultimate bending strength of cross-sections is calculated applying Smith's method to beam elements considering the warping and shear stresses. The proposed simplified method is applied to the progressive collapse tests of scale models under combined loads. On the other hand, nonlinear explicit finite element method (FEM) is adopted for the analysis of the test models. The effectiveness of the simplified method is discussed comparing with the results of experiments and FEM analysis.
Journal of Marine Science and Technology, 2007
This article describes an estimation method for the hull girder response of a ship due to springing. The linear and nonlinear springing effects on the hull girder are evaluated. Previous studies on the springing response focused mainly on the symmetric response, or vertical response. In this article, however, the springing analysis is extended to asymmetric responses, or horizontal and torsional responses. The Timoshenko beam model was used to calculate the hull girder response and the quadratic strip method was employed to calculate hydrodynamic forces and moments on the hull. To remove irregular frequencies, a rigid lid was adopted on the hull free surface level and hydrodynamic coeffi cients were interpolated for asymptotic values. Applications to two ships for the symmetric and asymmetric responses were carried out and the effect of springing responses is also discussed.
Tensairity is the new structural concept.It contains the combination of cable,membrane,struts and low pressure compressed air.The role of the membrane and air is to stabilize the compression element against buckling and the cable.The technology is good suited for wide span roofs,temporary bridges,domes etc. In this paper finite element based static and dynamic analysis of spindle shaped Tensairity beam is studied.In this paper also includes the parametric studies and determine the natural frequencies and deflections of the beam under different loading.Also determines load-displacement response of the spindle shaped Tensairity beam.
IRJET, 2023
Stiffening is always an important factor in the case of steel girders. Stiffening with different flanges are more effective when it comes to increasing the capacity to withstand concentrated loads caused by support reactions in steel bridge girders incrementally launched. Steel box girders are widely used in bridges when heavy loads are acting. During the construction or launching time of steel bridges there will be a concentrated force acting perpendicular to the flange of girders, this concentrated force during erection time of construction is known as patch loading. This patch loading case causes web bulking and premature bridge failure. Box girders with inclined web and their patch loading behaviour is studied. This paper aims at investigating the patch loading resistance on steel girders with different hollow flange shapes. Here it is designed and analysed by using finite element analysis method by ANSYS 2022 R2. The model is deigned with parametric studies and conducted in order to investigate the effect of various geometric parameters such as angle of inclination, web thickness and patch loading length and different patch loading length. The results showed that the use of rectangular hollow shaped cell flanges enhances the resistance of steel plate girders to patch loading.
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