Large deflection orthotropic plate approach to develop ultimate strength formulations for stiffened panels under combined biaxial compression/tension and lateral pressure

Paik, Jeom Kee; Thayamballi, Anil Kumar; Kim, Bong Ju

doi:10.1016/s0263-8231(00)00059-8

Cited by 76 publications

(39 citation statements)

References 13 publications

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“…The elastic constants in each direction are calculated assuming the stiffeners are "smeared" into the plating. Solutions to the orthotropic plate problem are presented by Mansour [6], Hughes [7] and Paik et al [8]. The Classification society DNV-GL has also developed a stiffened panel buckling program, PULS, which uses an orthotropic type modelling approach [9].…”

Section: Orthotropic Plate Methodsmentioning

confidence: 99%

“…For example, Smith [10] proposed that orthotropic plate theory is valid for simply supported panels with multiple stiffeners in both directions, but less accurate for panels with different edge boundary conditions or with less than three stiffeners in each direction. However, a study by Paik et al [8] found that a large deflection orthotropic plate method shows good correlation to finite element results for buckling problems between adjacent frames as well as for overall panel buckling of multiple framed panels.…”

Section: Orthotropic Plate Methodsmentioning

confidence: 99%

“…Key expressions are given in this paper for brevity whilst a full derivation can be found in [8]. The governing nonlinear equations of large deflection orthotropic plate theory are extended from von Karman's original equilibrium and compatibility equations.…”

Section: Large Deflection Orthotropic Plate Equationsmentioning

confidence: 99%

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Overall buckling of lightweight stiffened panels using an adapted orthotropic plate method

Benson

Downes

Dow

2015

Engineering Structures

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The ultimate longitudinal bending strength of thin plated steel structures such as box girder bridges and ship hulls can be determined using an incremental-iterative procedure known as the Smith progressive collapse method. The Smith method first calculates the response of stiffened panel substructures in the girder and then integrates over the cross section of interest to calculate a momentcurvature response curve. A suitable technique to determine the strength behaviour of stiffened panels within the Smith method is therefore of critical importance. A fundamental assumption of the established progressive collapse method is that the buckling and collapse behaviour of the compressed panels within the girder occurs between adjacent transverse frames. However, interframe buckling may not always be the dominant collapse mode, especially for lightweight stiffened panels such as are found in naval ships and aluminium high speed craft. In these cases overall failure modes, where the buckling mode extends over several frame spaces, may dominate the buckling and collapse response. To account for this possibility, an adaptation to large deflection orthotropic plate theory is presented. The adapted orthotropic method is able to calculate panel stress-strain response curves accounting for both interframe and overall collapse. The method is validated with equivalent nonlinear finite element analyses for a range of regular stiffened panel geometries. It is shown how the adapted orthotropic method is implemented into an extended progressive collapse method, which enhances the capability for determining the ultimate strength of a lightweight stiffened box girder.

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Section: Orthotropic Plate Methodsmentioning

confidence: 99%

Section: Orthotropic Plate Methodsmentioning

confidence: 99%

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Overall buckling of lightweight stiffened panels using an adapted orthotropic plate method

Benson

Downes

Dow

2015

Engineering Structures

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“…This would also enable one to evaluate the effects of skin thickness, frame and rod-stringer spacing and section geometry on the panel deflection due to a pressure load and for buckling analysis due to in-plane compression load. Classical plate theory [25][26] and equivalent orthotropic stiffened plate equations [27][28][29] were applied to simplify the PRSEUS model analysis for a rectangular plate. These simple spread-sheet based analytical results are also used for sanity check of the high fidelity FE analysis of panels, fuselage section and bulkhead.…”

Section: Classical Stiffened Plate Analysismentioning

confidence: 99%

Hybrid Wing Body Pressurized Fuselage and Bulkhead Design and Optimization

Mukhopadhyay

2013

54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

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The structural weight reduction of a pressurized Hybrid Wing-Body (HWB) fuselage is a serious challenge. Hence, research and development are presently being continued at NASA under the Environmentally Responsible Aviation (ERA) and Subsonic Fixed Wing (SFW) projects in collaboration with the Boeing Company, Huntington Beach and Air Force Research Laboratory (AFRL). In this paper, a structural analysis of the HWB fuselage and bulkhead panels is presented, with the objectives of design improvement and structural weight reduction. First, orthotropic plate theories for sizing, and equivalent plate analysis with appropriate simplification are considered. Then parametric finite-element analysis of a fuselage section and bulkhead are conducted using advanced stitched composite structural concepts, which are presently being developed at Boeing for pressurized HWB flight vehicles. With this advanced stiffened-shell design, structural weights are computed and compared to the thick sandwich, vaulted-ribbed-shell, and multibubble stiffened-shell structural concepts that had been studied previously. The analytical and numerical results are discussed to assess the overall weight/strength advantages.

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“…Shanmugam et al (1999) presented the design formula for simply supported and clamped boundary conditions. Paik et al (2001) presented ultimate strength formulations for ship plating under combined biaxial compressions/tension, edge shear, and lateral pressure loads. Bambach and Rasmussen (2002) carried out the test of unstiffened elements under different combined compression and bending cases.…”

Section: Review Of Existing Fruit and Merits Over Themmentioning

confidence: 99%

Ultimate strength of simply supported plate with opening under uniaxial compression

Yu¹,

Lee²

2012

International Journal of Naval Architecture and Ocean Engineeri

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Large deflection orthotropic plate approach to develop ultimate strength formulations for stiffened panels under combined biaxial compression/tension and lateral pressure

Cited by 76 publications

References 13 publications

Overall buckling of lightweight stiffened panels using an adapted orthotropic plate method

Overall buckling of lightweight stiffened panels using an adapted orthotropic plate method

Hybrid Wing Body Pressurized Fuselage and Bulkhead Design and Optimization

Ultimate strength of simply supported plate with opening under uniaxial compression

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