• Title/Summary/Keyword: orthotropic plate

### Development of Live Load Moment Equations Using Orthotropic Plate Theory (직교 이방성 판 이론을 이용한 바닥판 활하중 모멘트 산정식 개발)

• Ahn Ye-Jun;Nam Suk-Hyun;Park Jang-Ho;Shin Yung-Seok
• Proceedings of the Computational Structural Engineering Institute Conference
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• pp.749-756
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• 2006
• Because of the orthotropic elastic properties and significant two-way bending action, orthotropic plate theory may be suitable for describing the behavior of concrete filled grid bridge decks. Current AASHTO LRFD Bridge Design Specification(2004) has live load moment equations considering flexural rigidity ratio between longitudinal and transverse direction, but the Korea highway bridge design specification(2005) doesn't. The Korea highway bridge standard specification LRFD(1996) considers an orthotropic plate model with a single load to estimate live load moments in concrete filled grid bridge decks, which may not be conservative. This paper presents live load moment equations for truck and passenger car, based on orthotropic plate theory. The equations of truck model use multiple presence factor, impact factor, design truck and design tandem of the Korea highway bridge standard specification LRFD(1996). The estimated moments are verified through finite-element analyses.

### Buckling Analysis of Simply Supported Isosceles Trapezoidal Orthotropic Plate Using Collocation and Finite Element Method (선점법과 유한요소법을 사용한 단순지지된 등변사다리꼴 직교이방성판의 좌굴해석)

• 이병권;채수하;윤순종
• Proceedings of the Korean Society For Composite Materials Conference
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• pp.13-16
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• 2001
• This paper presents the results of an elastic buckling analysis of isosceles trapezoidal orthotropic plate. In this study, all edges of plate are assumed to be simply supported and the difference of the applied loads are assumed to be taken out by shear of constant intensity along the sloping sides. For the buckling analysis, collocation method is employed. Finite element analysis is also conducted and the results are compared with theoretical ones.

### Elastic Buckling Analysis of a Simply Supported Orthotropic Plate with Exponentialy Variable Thickness (두께가 변하는 직교이방성판의 탄성좌굴해석)

• 장성열;정상균;윤순종
• Proceedings of the Korean Society For Composite Materials Conference
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• pp.25-28
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• 2001
• The problem considered is the buckling of a rectangular orthotropic plate, tapered in thickness in a direction parallel to two sides and compressed in that direction. Curves are presented showing the variation of buckling stress coefficient with the special loads. The type of thickness variation is exponential. While this paper is presented how to design for an efficient orthotropic plate taper from physical consideration.

### Buckling of Fixedly Supported Orthotropic Plate under In-plane Linearly Distributed Forces (면내 선형분포하중을 받는 고정지지된 직교이방성판의 좌굴)

• 정재호;채수하;남정훈;윤순종
• Proceedings of the Korean Society For Composite Materials Conference
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• pp.5-8
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• 2000
• This paper presents the results of an elastic buckling analysis of orthotropic plate under in-plane linearly distributed forces. The analytical solution for the orthotropic plate whose boundaries were assumed to be simply supported was derived in the previous work. In this study the loaded edges of plate are assumed to be simply supported and other two edges are assumed to be fixed. For the buckling analysis Rayleigh-Ritz method is employed. Graphical form of results for finding the elastic buckling strength of orthotropic plate under in-plane linearly distributed forces is presented.

### Elastic Analysis of Reinforced Concrete Slab Using Orthotropic Plate Theory (직교이방성판 이론에 의한 콘크리트 슬래브의 탄성해석)

• 정재호;정성우;윤순종
• Proceedings of the Korea Concrete Institute Conference
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• pp.487-492
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• 1997
• Two-way concrete slab is often modeled as an orthotropic plate. In the modeling, flexural rigidities of the slab which depend upon the re-bar quantity have to be taken into account. Elastic equivalence technique in which the equilibrium and compatibility of the cross-section of slab satisfied is utilized to determine th flexural rigidities. In the analysis Navier's method is applied on the concrete slab with all edges simply supported under inform lateral load. In addition to the analysis using orthotropic plate theory, finite element method is also adopted to suggest the finite element modeling and to investigate the applicability of the method. Results obtained by both methods were compared and it is observed that the difference of the results was increased as the ratio of re-bar quantity increased.

### An Analytical Investigation on the Flexural Behavior of FRP Reinforced Concrete Slab by Orthotropic Plate Theory (직교이방성 판이론에 의한 FRP 보강 콘크리트 슬래브의 휨해석)

• 손경욱;정재호;정상균;윤순종;이승식
• Composites Research
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• v.17 no.2
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• pp.9-14
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• 2004
• In this study, analytical investigations on the flexural behavior of FRP reinforced concrete slab were discussed. In the derivation of analytic solution, the FRP reinforced concrete slab was modeled as a structural orthotropic plate. To determine the flexural rigidities of an orthotropic plate model, the elastic equivalence method was employed. In the finite element analysis, the approximate method to determine the rigidity matrix of orthotropic plate element was also suggested using the elastic equivalence method. The results obtained by the analytical solution and the finite element analysis were compared with that of experiment.

### Elastic Buckling of Elastically Restrained Orthotropic Plate with a Longitudinal Stiffener under In-plane Linearly Distributed Load (면내 선형분포하중을 받으며 두 변이 탄성구속되고 수평보강된 직교이방성판의 탄성좌굴)

• 권성미;정재호;채수하;윤순종
• Proceedings of the Korean Society For Composite Materials Conference
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• pp.17-20
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• 2001
• This paper presents the results of an elastic buckling analysis of elastically restrained orthotropic plate with a longitudinal stiffener under in-plane linearly distributed load. It is assumed that the loaded edges of web plate are simply supported and other two edges are elastically restrained against rotation. The stiffener is modeled as a beam element and its torsional rigidity is neglected. For the buckling analysis Lagrangian multiplier method is employed. The effects of restraint and longitudinal stiffener are presented in a graphical form.

### Analysis of RC girder bridges using orthotropic plate elements (직교이방성판요소를 사용한 철근콘크리트거더교량의 해석)

• Oh Byung Hwan;Park Jong Bum;Kim Se Hoon;Kim Ji Sang
• Proceedings of the Korea Concrete Institute Conference
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• pp.552-555
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• 2004
• For the estimation of the load effects of the slab-an-girder type structures, the applicability of FEM analysis for RC T-type girder bridges using orthotropic plate elements has been studied in the present study. The present study indicates that the analysis by orthotropic plate elements for RC T-type girder bridges gives reasonable results for sectional force, including moments and shear. The results from the present method gives the values in between full composite and non-composite cases, which are reasonable when compared with actual test results.

### A dynamic nondestructive damage detection methodology for orthotropic plate structures

• Gandomi, Amir Hossein;Sahab, Mohammad G.;Rahai, Alireza
• Structural Engineering and Mechanics
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• v.39 no.2
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• pp.223-239
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• 2011
• This paper presents a methodology to detect and locate damages and faults in orthotropic plate structures. A specific damage index based on dynamic mode shapes of the damaged and undamaged structures has been introduced. The governing differential equation on transverse deformation, the transverse shear force equations and the invariant expression for the sum of transverse loading of an orthotropic plate are employed to obtain the aforementioned damage indices. The validity of the proposed methodology for isotropic and orthotropic damage states is demonstrated using a numerical example. It is shown that the algorithm is able to detect damages for both isotropic and orthotropic damage states acceptably.

### Static Analysis of Trapezoidal Corrugated Plates under Uniformly Distributed Load (균일 분포하중을 받는 사다리꼴 주름판의 정적 해석)

• Kim, Young-Wann
• Journal of Power System Engineering
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• v.18 no.1
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• pp.99-105
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• 2014
• In this paper, the static characteristics of the trapezoidal corrugated plate under uniformly distributed pressure are investigated by the analytical method. Because the corrugated plate is very flexible in the corrugation direction and stiff in the transverse direction, the corrugated plate is treated as the orthotropic plate. This equivalent orthotropic plate must include both the extensional and flexural effect to obtain the precise solution. The effective extensional and flexural stiffness of the trapezoidal corrugated plate are derived to consider these effects in the analysis. To demonstrate the validity of the proposed approach, the comparison is made with the previously published results. Some numerical results are presented to check the effect of the geometric properties.