• Title/Summary/Keyword: Trapezoidal Plate

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Elastic bending analysis of irregular-shaped plates

  • Sakiyama, T.;Huang, M.
    • Structural Engineering and Mechanics
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    • v.7 no.3
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    • pp.289-302
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    • 1999
  • An approximate method for analyzing the bending problems of irregular-shaped plates is proposed. In this paper irregular-shaped plates are such plates as plate with opening, circular plate, semi-circular plate, elliptic plate, triangular plate, skew plate, rhombic plate, trapezoidal plate or the other polygonal plates which are not uniform rectangular plates. It is shown that these irregular-shaped plates can be considered finally as a kind of rectangular plates with non-uniform thickness. An opening in a plate can be considered as an extremely thin part of the plate, and a non-rectangular plate can be translated into a circumscribed rectangular plate whose additional parts are extremely thin or thick according to the boundary conditions of the original plate. Therefore any irregular-shaped plate can be replaced by the equivalent rectangular plate with non-uniform thickness. For various types of irregular-shaped plates the convergency and accuracy of numerical solution by proposed method are investigated.

Influence of trapezoidal and sinusoidal corrugation on the flexural capacity of optimally designed thin-walled beams

  • Erdal, Ferhat;Tunca, Osman;Taylan, Harun;Ozcelik, Ramazan;Sogut, Huseyin
    • Structural Engineering and Mechanics
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    • v.84 no.1
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    • pp.63-76
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    • 2022
  • Major engineering requirements and technological developments in the steel construction industry are discussed to support a new innovative system, namely corrugated web beams, for future structural projections. These new-generation steel beams, fabricated as welded plate girders with corrugated webs, are designed to combine large spans with very low weight. In the present study, the flexural capacity of optimally designed trapezoidal and sinusoidal corrugated web beams was aimed at. For this purpose, the new metaheuristic methods, specifically hunting search and firefly algorithms, were used for the minimum weight design of both beams according to the rules of Eurocode EN 1193 15 and DASt-Ri 015. In addition, the strengthening effects of the corrugation geometry at the web posts on the load capacity of fabricated steel beams were tested in a reaction frame. The experimental tests displayed that the lateral capacity of trapezoidal web beams is more durable under flexural loads compared to sinusoidal web beams. These thin-walled beams were also simulated using a 3-D finite element model with plane strain to validate test results and describe the effectiveness of the ABAQUS software.

Prediction of acoustic radiation efficiency for trapezoidal corrugated plates (사다리꼴 주름평판의 음향방사효율 해석)

  • Jungsoo Ryue;Seungho Jang
    • The Journal of the Acoustical Society of Korea
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    • v.42 no.2
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    • pp.83-93
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    • 2023
  • Trapezoidal corrugated plates are often treated as orthotropic plates to simplify the modelling of the corrugation. However, this simplification is not valid at high frequencies in which the localized vibration within the parts of corrugation takes place. In this study, the vibrational and acoustical characteristics of corrugated plates are investigated up to high frequencies by means of the wavenumber domain numerical approach. Based on the findings from this numerical analysis, an approximate method to predict vibro-acoustic characteristics of corrugated plates is proposed. This approximate model consists of four equivalent plates which can represent global and local behaviours of corrugated plates. The radiation efficiency of corrugated plates is predicted from the approximate model and validated through the comparison with those of the numerical method.

Free vibration analysis of trapezoidal Double Layered plates embedded with viscoelastic medium for general boundary conditions using differential quadrature method

  • S. Abdul Ameer;Abbas Hameed Abdul Hussein;Mohammed H. Mahdi;Fahmy Gad Elsaid;V. Tahouneh
    • Steel and Composite Structures
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    • v.50 no.4
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    • pp.429-441
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    • 2024
  • This paper studies the free vibration behavior of trapezoidal shaped coupled double-layered graphene sheets (DLGS) system using first-order shear deformation theory (FSDT) and incorporating nonlocal elasticity theory. Two nanoplates are assumed to be bonded by an interlayer van der walls force and surrounded by an external kelvin-voight viscoelastic medium. The governing equations together with related boundary condition are discretized using a mapping-differential quadrature method (DQM) in the spatial domain. Then the natural frequency of the system is obtained by solving the eigen value matrix equation. The validity of the current study is evaluated by comparing its numerical results with those available in the literature and then a parametric study is thoroughly performed, concentrating on the series effects of angles and aspect ratio of GS, viscoelastic medium, and nonlocal parameter. The model is used to study the vibration of DLGS for two typical deformation modes, the in-phase and out-of-phase vibrations, which are investigated. Numerical results indicate that due to Increasing the damping parameter of the viscoelastic medium has reduced the frequency of both modes and this medium has been able to overdamped the oscillations and by increasing stiffness parameters both in-phase and out-of-phase vibration frequencies increased.

A Study to Improve Bonding Strength of Strengthening Plate with Notches (노치를 이용한 보강재의 부착력 증가 방안에 관한 연구)

  • Han, Man-Yop;Song, Byeong-Pyo;Lee, Kwang-Myong
    • Magazine of the Korea Concrete Institute
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    • v.11 no.1
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    • pp.129-139
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    • 1999
  • Recently, many strengthening methods are developed and used to rehabilitate existing structures. One of the old and popular methods is strengthening with bonding steel plate. However, steel plate bonding method has a defect, which is debonding failure of steel plate before yielding of the plate due to stress concentration at the of the bonded plate. The objective of this study is the experimental verification of the improved bonding properties of a strengthening plate with notches. Two normal beams and ten strengthened beams with steel plate, which have several different notches, are tested and showed their effectiveness. Test results show that the notches of strengthening plate significantly improve post-yielding behavior, compared to normally strengthened beams. It is proved that the notches of strengthening plate increases ultimate strength 14% more than normal strengthened beam after yield strength. As for the shape of notches, arc notch is the best. and triangle notch and trapezoidal notch are the next and end welding method has no effect.

Aerodynamic Characteristics of Pantograph Panhead Sections in High Speed Railway (고속전철 판토그라프의 팬헤드 단면모델에 대한 공력특성 해석)

  • Cho, Woon-Ki;Lee, Jong-Soo
    • Proceedings of the KSME Conference
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    • 2001.06e
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    • pp.367-372
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    • 2001
  • The paper presents an improved way of aerodynamic quality in Korean Very High Speed Railway, The pantograph model being under development dissatisfies the required grade of aerodynamic lift force. So the present work proposes modified configurations of panheads to maintain consistent aerodynamic characteristics. Analysis has been performed using commercial CFD program. Simulation based analysis has been conducted with two different models. One is to attach the thin plate on the crossbar and the other is the use of trapezoidal cross section in contact strip. Various length of thin plate is simulated for flow velocity and acceptable value of plate length is selected which satisfy the necessary average lift force. Aerodynamic variation on the panheads strip is studied.

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EVALUATION METHOD FOR THE EFFECTIVE LENGTH OF TRAPEZOIDAL-TYPE ELECTROMAGNET (사다리꼴 형태 부상용 전자석의 유효길이 평가 방법)

  • Koo, Dae-Hyun;Kang, Do-Hyun;Shin, Pan-Seok
    • Proceedings of the KIEE Conference
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    • 1992.07b
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    • pp.593-596
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    • 1992
  • An evaluation method for the effective length of electromagnet - which bas U-shape in frontview and trapezoidal in side view - is presented. Using 2D FEM, 2 analysing models are introduced for calculating effective length of the magnet ; the front model is using the normalized equi-pole face area of the magnet and the side model using the normalized equi-magnetic circuit. The ratio of the effective length to the length of bottom plate (core) comes out 1.25 - 1.30. In addition, 3D FEM analysis has been done and a proto-type test model is manufactured to verify the analysing method. The ratio by the experiment appears 1.2, which is reasonably in good agreement with the suggested numerical results.

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Simulation of the Forming Process of the Shielded Slot Plate for the Molten Carbonate Fuel Cell Using a Ductile Fracture Criterion (연성파괴조건을 사용한 용융탄산염 연료전지용 쉴디드 슬롯 플레이트의 성형 공정 유한요소 해석)

  • Lee, C.W.;Yang, D.Y.;Lee, S.R.;Kang, D.W.;Chang, I.G.;Lee, T.W.
    • Transactions of Materials Processing
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    • v.21 no.5
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    • pp.298-304
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    • 2012
  • The shielded slot plates for a molten carbonate fuel cell(MCFC) have a sheared corrugated trapezoidal pattern. In the FEM simulations for the production of the shielded slot plate, the user material subroutine VUMAT in the commercial FEM software ABAQUS was used to implement a ductile fracture criterion. The critical damage value for the ductile fracture criterion was determined by comparing the experimental results of the shearing process with the simulation results. Using the ductile fracture criterion, the FEM simulation of the three-dimensional forming process of the shielded slot plate was conducted. The effects of the shearing process on the forming process were examined through FEM simulation and experiments. The forming simulation of nine unit cells was conducted. Using the simulation results of the forming process, the deformed shape after springback was calculated. The experimental result shows good agreement with the simulation.

Analytical Study of Shear Capacity of Trapezoidal Corrugated Web Girders (건축물 적용을 위한 제형 절곡 웨브 보의 전단성능에 관한 해석적 연구)

  • Lee, Seo Haeng;Park, Geun Woo;Yoo, Jung Han
    • Journal of Korean Society of Steel Construction
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    • v.30 no.1
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    • pp.49-58
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    • 2018
  • This study conducted nonlinear finite element analysis to figure out the influence of shear performance on the ${\beta}$ of girders with trapezoidal corrugated web. Through the experiment specimen, analysis model which is highly accurate was verified. Based on this, a parameter analysis was conducted on key variables affecting ${\beta}$. Proposed formulas of previous studies were analyzed using parameter analysis result. Eurocode was designed to be safer than other proposals. Only models that are included in the inelastic area, depending on the Moon's proposal, were satisfied the proposed formulas by Kim to enhance economic design.

Buckling Analysis of Laminated Composite Trapezoidal Corrugated Plates (적층 복합재료 사다리꼴 주름판의 좌굴해석)

  • Park, Kyung-Jo;Kim, Young-Wann
    • Composites Research
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    • v.32 no.4
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    • pp.185-190
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    • 2019
  • This work investigates the elastic buckling characteristics of laminated composite trapezoidal corrugated plates with simply supported edges using the analytical method. In the analysis, three types of in-plane loading conditions: uniaxial, biaxial and shear loads are considered. Because it is very difficult to determine the mechanical behavior of 3-dimensional corrugated structures analytically, the equivalent homogenization model is adapted to investigate the overall mechanical behavior of corrugated plates. The corrugated element is homogenized as an orthotropic material. The previous formulae for bending rigidities of corrugated plate are adapted in this paper. The comparisons of the proposed analytical results with those of FEA based on the shell element are made to verify the proposed analytical method. In the comparison study both the critical buckling loads and the buckling mode shapes are presented. Some numerical results are presented to check the effect of the geometric properties.