• Title/Summary/Keyword: Equivalent Orthotropic Plate

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Bending Analysis and Flexural Rigidity of Rectangular Corrugated Plates (사각 주름판의 굽힘강성 및 굽힘해석)

  • Jung, Kang;Kim, Young-Wann
    • Journal of Power System Engineering
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    • v.16 no.6
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    • pp.38-44
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    • 2012
  • In this paper, the bending characteristics of the corrugated plates is analyzed. The trapezoidally, triangularlly and sinusoidally corrugated plates are considered. The corrugated plate is treated as an orthotropic plate that has different flexural properties in two perpendicular directions. The equivalent bending and twisting rigidities for the equivalent orthotropic plates are derived. The equivalent flexural rigidities are estimated under the following postulations: (1) The angle of continuously corrugated plate is not changed after the deformation. (2) When the pure bending moment is applied in corrugated direction of the plate, the its plane is in pure bending. Several numerical examples are analyzed with the proposed method and compared with published results.

Vibration Analysis of Trapezoidally Corrugated Plates (사다리꼴 주름판의 진동해석)

  • Kim, Young-Wann
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.23 no.10
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    • pp.928-934
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    • 2013
  • In this paper, the vibration characteristics of the trapezoidally corrugated plate are investigated by the analytical method. The corrugated plate is widely used as the structural elements because of its high stiffness and light weight. Because the corrugated plate is flexible in the corrugation direction and stiff in the transverse direction, it is treated as an equivalent orthotropic plate to analyze the corrugated plate simply. This equivalent plate must include both extensional and flexural effect to obtain the precise solution. The effective extensional and flexural stiffness of the equivalent 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 and ANSYS solutions. Some numerical results are presented to check the effect of the geometric properties.

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.

Characteristics of Sound Insulation in Sandwich Plates with Orthotropic Skin Plate (이방성판을 사용한 샌드위치판의 차음특성)

  • Kang, Hyun-Ju;Kim, Bong-Ki;Kim, Jae-Seung
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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    • pp.853-856
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    • 2004
  • This study presents a prediction method for sound insulation of sandwich plate which consists of orthotropic plates as skin and mineral wool as core. Prediction by classic theory, which considers orthotropic effects, requires considerably complex and cumbersome process and moreover many assumption. However, experimental results of the sandwich plate with orthotropic plates as skin show that the orthotropic effects are disappeared or fade out. Hence, predictions by using sandwich model are conducted by a simple modelling that substitutes an orthotropic plate into an equivalent flat plate. Comparative results show that sandwich model gives a good agreements with theoretical prediction.

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An Analysis of the Orthotropic Curved Circular Ring Sector Plates (곡선경계를 갖는 철근 콘크리트 이방성 선형판의 해석)

  • 노홍민;조진구
    • Proceedings of the Korean Society of Agricultural Engineers Conference
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    • 1999.10c
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    • pp.258-264
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    • 1999
  • In this study, a computer program was developed for analysis of the orthotropic curved ring sector plates. In the developing program , the thin-plate theory and multi-base coordinate system was adopted. The effect of design factors-boundary conditions, loading conditions, steel ratio, open angle, radius of curvature and relative flexural rigidity between slab and edge-beam-on the behavior of the circular ring sector plates were discussed. Also, the practical limitations was proposed to replace the problem of the orthotropic sector plate by equivalent rectangular plage.

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Structural Analysis of the Aluminum Extrusion Plate with Truss-Core (트러스 코어 헝상을 갖는 알루미늄 압출재의 구조 해석)

  • 장창두;이병삼;하윤석;김호경;송하철;문형석
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.2
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    • pp.133-140
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    • 2003
  • The sandwich plate has been widely used as an efficient structural member because it has high strength-to-weight and high stiffness-to-weight ratios. To properly design the aluminum extrusion plate , it is necessary to analyze structural behaviors of the extrusions, however, the aluminum extrusions have been rarely studied until now. In the optimization process through numerous iterative calculations, finite element analysis of the sandwich plate with hollow core section requires a considerable amount of computation time and cost. In this paper, the aluminum extrusion plate with truss-core is transformed into an equivalent homogeneous orthotropic plate with appropriate elastic constants. The procedure to evaluate accurate equivalent elastic constants is also established. Using these elastic constants, simple theoretical formulas of the stresses and deflection are proposed in case of the simply-supported orthotropic thick plate under uniform pressure. Through the comparison with the results by commercial FEM code(ANSYS), it is verified that the proposed simpified formula has a good efficiency and accuracy.

Vibration Analysis of Trapezoidal Corrugated Plates with Stiffeners and Lumped Masses (집중질량을 고려한 보강된 사다리꼴 주름판의 진동해석)

  • Jung, Kang;Kim, Young-Wann
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.24 no.5
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    • pp.414-420
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    • 2014
  • In this paper, the vibration characteristics of the trapezoidal corrugated plate with axial stiffeners and lumped masses are investigated by the analytical method. The corrugated plate can be treated as an equivalent orthotropic plate as this plate has different flexure properties in two perpendicular directions; flexible in the corrugation direction and stiff in the transverse direction. The effective extensional and flexural stiffness of the equivalent plate are considered to obtain the precise solution in the analysis. The plate is stiffened by concentric stiffeners horizontally to the corrugation direction. The discrete stiffener theory is adopted to consider the position of stiffener. To demonstrate the validity of the proposed approach, the comparison is made with the results of 3D ANSYS finite element solutions. Some numerical results are presented to check the effect of the geometric properties.

Prediction Model of the Sound Transmission Loss of Honeycomb Panels for Railway Vehicles (철도차량용 허니콤재의 차음성능 예측모델)

  • Kim, Seock-Hyun;Paek, In-Su;Lee, Hyun-Woo;Kim, Jeong-Tae
    • Journal of the Korean Society for Railway
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    • v.11 no.5
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    • pp.465-470
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    • 2008
  • Sound transmission characteristics are investigated on the honeycomb panels used for railway vehicles. Equivalent orthotropic plate model and equivalent mass law are applied to predict the sound transmission loss (STL) of the honeycomb panels. The predicted values of the STL are compared with the measured values. The reliability and the limitation of the prediction models are investigated. Coincidence effect and local resonance effect on STL are considered. The result of the study shows that the equivalent orthotropic plate model can be used as a good prediction model, if the local resonance frequency is properly applied. finally, ways to improve the severe STL drop by local resonance are proposed and the effect on the sound insulation performance is analysed.

A Study on the Load Distribution Factor in the Perforated Square Plate with Elastic Support at Four Corners (彈性支持를 받는 四角多孔板의 荷重分布係數에 관한 연구)

  • 임정식;이영신
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.13 no.4
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    • pp.563-571
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    • 1989
  • The load distribution factor in the perforated square plate under concentrated load acting at arbitrary points through elastic media are calculated. For the calculation the perforated plate was converted into an orthotropic plate using the method suggested by J.B. Mahoney. In the process of the calculation the angle support at each corners was equivalent to a point support having equivalent stiffness. The deflections for the calculation of the load distribution factor were obtained using auxiliary plate extended in both directions of the plate and compared with the results from ANSYS calculations. After showing the validity of the current method, the calculation of the load distribution factor was performed. The result showed that the load distribution factor at the periphery of the plate is larger than that of in the central locations. This load distribution factor could be used for re-distribution of the applied load in more accurate analysis of the plate as well as it can be used in the analysis of the elastic media as the load factor.

Sound Insulation Performance of the Panel Structures in High Speed Train: Transmission Loss of the Corrugated and Extruded Panels (고속철도 차음구조의 차음성능: 주름 및 압출재의 투과손실)

  • Kim, Seock-Hyun;Paek, In-Su;Kim, Jeong-Tae
    • Proceedings of the KSR Conference
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    • 2007.11a
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    • pp.82-89
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    • 2007
  • Sound transmission characteristics are investigated on the corrugated steel and aluminium extruded panels used for railway vehicles. Sewell-Sharp-Cremer(SSC) model, equivalent orthotropic plate model and equivalent mass law are applied to predict the sound transmission loss. The predicted values of the sound transmission loss are compared with the measured values. The reliability and the limitation of the prediction models are investigated. For the corrugated panels and honeycomb panels, the coincidence and local resonance severely deteriorate the sound insulation performance around the corresponding frequency bands. The result of the study shows that the equivalent orthotropic plate model and the SSC model can be used as good prediction models, if the coincidence frequency or local resonance frequency is correctly applied.

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