• Title/Summary/Keyword: Arbitrarily shaped plate

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Torsional rigidity of arbitrarily shaped composite sections by hybrid finite element approach

  • Darllmaz, Kutlu;Orakdogen, Engin;Girgin, Konuralp;Kucukarslan, Semih
    • Steel and Composite Structures
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    • v.7 no.3
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    • pp.241-251
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    • 2007
  • The purpose of this study is to calculate the torsional rigidity of arbitrarily shaped composite sections on the basis of hybrid finite element approach. An analogy is used between the torsion problem and deformation of a plate which exhibits only shear behavior. In the analysis a simple hybrid finite element based on Hellinger-Reissner functional is presented and a set of numerical examples are performed to demonstrate and asses the performance of the developed element in practical applications.

Integral equation formulation for electromagnetic coupling through an arbitrarily shaped aperture into a parallel-plate waveguide (임의 형태의 개구에 의한 평행평판 도파관으로의 전자기적 결합 문제 해석을 위한 적분 방정식 방법)

  • Lee, Young-Soon;Lee, Chang-Won;Cho, Young-Ki;Son, Hyon
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.32A no.12
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    • pp.25-35
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    • 1995
  • An analysis method of electromagnetic coupling through an arbitrarily shaped aperture on the upper wall of parallel-plate waveguide, when excited by an electromagnetic plane wave from outside, is considered. The mixed-potential integral equation, in which Green's functions are expressed in a computationally efficient closed form by using the Prony's method and the Sommerfeld identity, is formulated. Expanding the unknown equivalent magnetic surface current in terms of two-dimensional rooftop-type basis functions and choosing razor testing, the integral equation is reduced to a linear algebraic equation, which is solved. The results are compared with the previous results. Fairly good agreements between them are observed.

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An assumed-stress hybrid element for modeling of plates with shear deformations on elastic foundation

  • Darilmaz, Kutlu
    • Structural Engineering and Mechanics
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    • v.33 no.5
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    • pp.573-588
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    • 2009
  • In this paper a four-node hybrid stress element is proposed for analysing arbitrarily shaped plates on a two parameter elastic foundation. The element is developed by combining a hybrid plate stress element and a soil element. The formulation is based on Hellinger-Reissner variational principle in which both inter element compatible boundary displacement and equilibrated stress fields for the plate as well as the foundation are chosen separately. This formulation also allows a low order polynomial interpolation functions. Numerical examples are presented to show that the validity and efficiency of the present element for the plate analysis resting on an elastic foundation. In these examples the effect of soil depth, interaction between closed plates on soil parameters, comparison with Winkler hypothesis is investigated.

Free Vibration Analysis of Arbitrarily Shaped Plates with Free Edges Using Non-dimensional Dynamic Influence Functions: the case that straight and curved boundaries are mixed (무차원 동영향 함수를 이용한 자유단 경계를 가진 임의 형상 평판의 진동해석 : 직선 및 곡선 경계가 혼합된 경우)

  • Choi, Jang-Hoon;Kang, Sang-Wook
    • 한국신재생에너지학회:학술대회논문집
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    • 2005.06a
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    • pp.534-537
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    • 2005
  • Free Vibration Analysis using Non-dimensional Dynamic Influence Function (NDIF) is extended to arbitrarily shaped plates including polygonal plates. Since the corners of polygonal plates have indefinite normal directions and additional boundary conditions related to a twisting moment at a corner along with moment and shear force zero conditions, it is not easy to apply the NDIF method to polygonal plates wi th the free boundary condition. Moreover, owing to the fact that the local polar coordinate system, which has been introduced for free plates with smoothly varying edges, cannot be employed for the straight edges of the polygonal plates, a new coordinate system is required for the polygonal plates. These problems are solved by developing the new method of modifying a corner into a circular arc and setting the normal direction at the corner to an average value of normal direct ions of two edges adjacent to the corner. Some case studies for plates with various shapes show that the proposed method gives credible natural frequencies and mode shapes for various polygons that agree well with those by an exact method or FEM (ANSYS).

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Fine Blanking Characteristics of T-shaped Blanks (T 형 제품의 파인 블랭킹 가공 특성)

  • 장영도;최치수;김대현;김종호;류제구
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.598-602
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    • 1996
  • This study is performed for investigating the effects of stripping and counter punching force on shearing characteristics in fine blanking, such as camber, burr-height and dimensional accuracy, etc by experiments. Conventional hydraulic press equipped with specially designed hydraulic unit is used for experiments so that both the stripping force and counter punching force are arbitrarily adjusted according to experimental conditions. Two kinds of materials, hot rolled steel sheet(1mm, 3mm) and pure aluminum(1mm, 3mm) are selected in order to examine the influence of strength and thickness of working materials in blanking of T-shaped products. Based on the experimental results of this study, it can be concluded that the finely cut surface of sheared blank can be obtained even in conventional hydraulic press if additional equipments and special dies are employed.

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Influence of Stripping and Counter Punching Forces on Fine Blanking Characteristics of T-shaped Products (T형 제품의 파인 블랭킹 가공 특성에 미치는 스트리핑력과 카운터 펀칭력의 영향)

  • Kim, J.H.;Ryu, J.G.;Sim, K.S.;Kim, D.H.;Chang, Y.D.;Lee, J.H.
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.6
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    • pp.15-21
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    • 1997
  • This study is performed for investigating the effects of stripping and counter punching forces on shearing characteristics in fine blanking of T-shaped products, such as camber, burr-height and dimensional accuracy, etc by experiments. Conventional hydraulic press is used for experiments so that both the stripping force and counter punching force can be arbitrarily adjusted by another hydraulic unit connected to the fine blanking die. Specimens are selected as hot rolled steel sheet and carbon steel sheet commonly used in auto- mobile company. Based on the experimental results, both the dimensional accuracy and the burr height are not influenced by the stripping and counter punching forces, wherease the camber height representing dish- shaped deflection is much influenced by them, it can be seen through this study that the finely cut surface of T-shaped blank can be obtained even in conventional hydraulic press if additional equipments and specially designed die are employed.

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Meshless Method Based on Wave-type Function for Accurate Eigenvalue Analysis of Arbitrarily Shaped, Clamped Plates (임의 형상 고정단 평판의 고정밀도 고유치 해석을 위한 파동 함수 기반 무요소법)

  • Kang, Sang-wook
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.26 no.5
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    • pp.602-608
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    • 2016
  • The paper proposes a practical meshless method for the free vibration analysis of clamped plates having arbitrary shapes by extending the non-dimensional dynamic influence function (NDIF) method, which was developed by the author in 1999. In the proposed method, the domain and boundary of the plate of interest are discretized using only nodes without elements unlike FEM and the system matrices are obtained by making domain nodes and boundary nodes satisfy the governing differential equation and boundary conditions, respectively. However, since the above system matrices are not square ones, the problem of free vibrations of clamped plates is not reduced to an algebraic eigenvalue problem. An additional theoretical treatment is considered to produce an algebraic eigenvalue problem. It is revealed from case studies that the proposed method is valid and accurate.

Photoelastic Determination of Stress Intensity Factors by Teflon Molding Method - Evaluation of The Method In Terms of Two Dimensional Mode I and Mode II - (테프론 모울딩법 에 의한 S .I .F.의 광탄성 실험해석 - 이차원 S .I .F. 문제에 대한 실험방법 의 정도평가 -)

  • 최선호;황재석;채영석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.7 no.1
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    • pp.1-10
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    • 1983
  • The photoelastic determination of S.I.F. in Fracture mechanics has been regarded as one of the most effective and practical experimental methods in which stresses are read directly, except a few shortcomings involved in the process of experiment; the difficulties of making a sharp crack tip similar to the practical one and nearly impossibilities of carving an arbitrarily shaped crack on the test plate, etc. To eliminate flaws mentioned above, recently, Kitagawa and Watanabe of Tokyo Univ.developed a new method named"Teflon Insert Method". which has improved experimental accuracy to a considerable extent byt remaining still room for further improvement, that is, the elimination of bonding boundary scars which render photoelastic fringes obscure. In this paper, a newly exploited"Teflon Molding Method" was attempted for the completion of teflon-epoxy experimental method. The experimental results obtained by this method are compared with existent theoretical and experimental values to evaluate its accuracy. As result, 1-6% of margin of errors were appeared in a series of photoelastic experiments which defied any other conventional method in terms of experimental accuracy.perimental accuracy.