• 제목/요약/키워드: Thin Circular Plate

검색결과 52건 처리시간 0.02초

타원형 및 원형 평판의 자유 진동 (Free Vibration of EllllIipticall and Circular Plates)

  • 김찬수
    • 대한기계학회논문집
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    • 제16권8호
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    • pp.1485-1492
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    • 1992
  • 본 연구에서는 Rayleigh-Ritz method를 사용하여 타원형(원형 포함) 평판의 자유 진동 문제를 해석한다. admissible함수로서는 단순 다항식의 곱(products of simple polynomials)을 사용한다. 이 함수는 다항식의 첫 항의 차수를 0,1 또는 2로 함으로써 각각 자유, 단순 지지 또는 고정인 경계 조건을 간편히 처리할 수 있게 하며, 에너지식에 포함된 적분값을 계산함에 있어서 점화식을 유도하여 사용함으로써 계산을 매우 간편히 수행할 수 있게 한다. 본문의 이론 해석은 직교 이방성 타원형 평판에 대해서 제시된다. 그러나 수치 결과는, 이방성의 다양한 조합에 대한 많은 결과를 제시하는 것은 그다지 의미가 없는 관계로, 등방성 평판에 대해서 주어진다. 등방성 평판의 여러 가지 세장비에 대한 결과는 설계 데이터로써 활용될 수 있을 것이다. 덧붙여 대표적으로 세장비가 0.5인 평판에 대해서 nodal pattern이 그림으로 제시된다.

반응표면법을 이용한 안전밸브의 최적화 (Optimal Design of the Safety Valve by Response Surface Method)

  • 이상우;신대영;변철웅
    • 한국전산구조공학회논문집
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    • 제20권5호
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    • pp.551-556
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    • 2007
  • 소화시스템에 사용되는 고압의 소화가스 저장용기에는 저장용기의 파손을 막아주는 안전밸브가 있다. 이러한 안전밸브의 내부에는 원형 박판의 파열 판이 들어 있는데, 저장용기의 내압이 위험수준에 도달하면 파열 판이 파손하여 내압을 배출하는 역할을 한다. 안전밸브의 설계인자는 파열 판의 두께, 안전밸브의 유로 직경, 플라스틱 패킹 링의 내부 직경 그리고 파열 판을 고정하는 볼트 안쪽의 필렛 반경이 있다. 이중에서 파열 판의 두께는 0.2mm로 고정을 하였다. 요인배치법을 사용하여 주효과를 결정하였고 회귀방정식을 유도하였다. 이러한 회귀방정식은 추후 안전밸브의 설계에 있어서 기초 설계 자료로서 활용할 수 있도록 실험 결과와 비교하여 검증하였다. 검증실험 및 회귀방정식에 의한 결과의 오차는 약 $2{\sim}5%$ 정도인 것을 확인하였다. 그리고 반응표면법을 사용하여 기밀테스트 압력인 25MPa에서 파열할 수 있는 안전밸브의 최적 모델을 결정하였다.

Discrete singular convolution for buckling analyses of plates and columns

  • Civalek, Omer;Yavas, Altug
    • Structural Engineering and Mechanics
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    • 제29권3호
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    • pp.279-288
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    • 2008
  • In the present study, the discrete singular convolution (DSC) method is developed for buckling analysis of columns and thin plates having different geometries. Regularized Shannon's delta (RSD) kernel is selected as singular convolution to illustrate the present algorithm. In the proposed approach, the derivatives in both the governing equations and the boundary conditions are discretized by the method of DSC. The results obtained by DSC method were compared with those obtained by the other numerical and analytical methods.

Effect of gas detonation on response of circular plate-experimental and theoretical

  • Babaei, Hashem;Mostofi, Tohid Mirzababaie;Sadraei, Seyed Hamidreza
    • Structural Engineering and Mechanics
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    • 제56권4호
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    • pp.535-548
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    • 2015
  • A series of experimental results on thin mild steel plates clamped at the boundary subjected to gas detonation shock loading are presented. Detonation occurred by mixing Acetylene (C2H2)-Oxygen (O2) in various volume ratio and different initial pressure. The applied impulse is varied to give deformation in the range from 6 mm to 35 mm. Analytical modeling using energy method was also performed. Dependent material properties, as well as strain rate sensitivity, are included in the theoretical modeling. Prediction values for midpoint deflections are compared with experimental data. The analytical predictions have good agreement with experimental values. Moreover, it has been shown that the obtained model has much less error compared with those previously proposed in the literature.

A STUDY ON CENTER THINNING IN ROTARY FORGING OF CIRCULAR PLATE

  • Choi, Seo-Gou;Oh, Hung-Kuk
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1995년도 추계학술대회논문집
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    • pp.86-94
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    • 1995
  • The rotary forging process has a potential for producing high-precision parts because of smaller forging forces and incrementally controlled deformation, especially in cold forging of intricate parts to net shape. But while thin circular plate are made by rotary forging, center thinning and fracture will occur under given conditions. The trouble has seriously influenced the quality of products and the spreading of this technique. This paper intends to explain the phenomenon of center thinning and gives a criterion of it. In order to confirm the validity of the proposed criterion, experiments have been carried out by using the rotary forging press which has been designed and constructed in our laboratory.

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수밀격벽(水密隔壁)을 관통(貫通)하는 관(管)의 용접시공(熔接施工)으로 인(因)한 열응력해석(熱應力解析)(II) -Penetration piece에서의 열응력(熱應力)- (On The Thermal Stresses due to Welding of a Penetraion Piece for a Watertight Bulkhead Plate(II) -Thermal Stresses in a Penetration Piece-)

  • 김효철
    • 대한조선학회지
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    • 제12권1호
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    • pp.9-22
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    • 1975
  • As a second step of a thermal stress analysis in a watertight bulkhead plate during welding of a spool type penetration piece, is idealized as a thin circular disk with a clamped boundary. The exact solution for the transient temperature distribution and associated quasi-static thermal stresses which arise in a circular disk subjected to an instantaneous point source of heat acting in its interior has been obtained. And the solutions have been extended to the case of moving source of heat with the aid of the Duhamel's superposition integral and the results finally derived have been compared with the other results from the typical cases. The solutions can be applied to the problem such as a welding of a penetration piece on the watertight bulkhead and also applicable to the problems which occur in cutting or welding.

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금속-압전세라믹스로 구성된 음향소자의 설계 및 음향특성 (Design and Acoustic Properties of Acoustic Device with Metal-Piezoceramic Circular Plate)

  • 고영준;이상욱;남효덕;장호경
    • 한국음향학회:학술대회논문집
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    • 한국음향학회 2000년도 하계학술발표대회 논문집 제19권 1호
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    • pp.275-278
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    • 2000
  • In this study, the acoustic transducer of a thin circular disc-type with PZT/Metal was designed. The dielectric and piezoelectric properties of $0.5wt\%$ $MnO_2$ and NiO doped 0.1Pb($Mg_{1/3}$$Nb_{2/3}$)$O_3$-$0.45PbTiO_3$-$0.45PbZrO_3$ ceramics were investigated aiming at acoustic transducer applications. The vibration characteristics for the laminated circular plate was analyzed for the various thickness and diameter of the piezoceramic layer and metal layer. The acoustic characteristics which is radiated from the acoustic transducer within the finite space was simulated using the finite element method. It has been observed that the characteristics of the sound pressure ard impedance response calculated for the various models of the size and geometry of acoustic transducer.

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강재 맨홀뚜껑의 보강구조 해석 (Analysis of Strengthening Structures of Steel Manhole Cover)

  • 김흥규;양영수;배강열
    • Journal of Welding and Joining
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    • 제32권2호
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    • pp.54-62
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    • 2014
  • Manhole cover, which is usually made of grey cast iron and consists of frame and cover, should have enough strength to support the heavy traffic load. The manhole cover made of cast iron has heavy weight to handle manually and is vulnerable to impact force with its brittle characteristics. Moreover, its production process of casting has been regulated in terms of environmental pollution. In this study, steel manhole cover is proposed to substitute the cast cover with a series of structural analyses to confirm its strength to support the test load for manhole cover. The cover of the proposed steel manhole cover is made of thin circular pate and stiffeners below the plate. Rectangular columns and hollow circular plate were selected for the shape of the stiffener. In order to give enough strength for the cover to behave within elastic range in the loading, strengthening structures of the cover were varied with increasing the number and the size of the stiffeners. The results of the analyses revealed that when both the hollow circular stiffener and cross stiffeners were additionally applied at the same time to the steel cover with longitudinal stiffeners, the maximum stress level in the cover could be reduced to that level presented in the cast cover.

얇은 접합층의 계면균열에 대한 이론적 해석 (Theoretical Analysis of Interface Crack on Thin Plate)

  • 노환진
    • 대한조선학회논문집
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    • 제44권6호
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    • pp.627-634
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    • 2007
  • A bonded plate or a coated part can be debonded by external impact or thermal expansion. To analyse adhesive strength, the blister test is generally adopted. In this paper, a blister test is modelled theoretically and then the stability and bifurcation of the blister are studied under several different cases. The blister is simplified to consist of a pure bending plate attached elastically to the rigid substrate. Expression of the energy release rate is obtained as a form of an explicit function for a circular-type blister or tunnel-type blister grown by controlling the internal pressure or internal volume. Stability and bifurcation are also studied in the frame of the quasi-static evolution. The study shows that the circular- type blister propagates with the first mode of bifurcation and that the tunnel-type blister propagates with a regular wave. It is proved that the waves have the same form on two side lines of the tunnel and that the wave length can be obtained. When the internal pressure is controlled, the blister is unstable, but when the internal volume is controlled, it is stable.

Free vibration of functionally graded thin elliptic plates with various edge supports

  • Pradhan, K.K.;Chakraverty, S.
    • Structural Engineering and Mechanics
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    • 제53권2호
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    • pp.337-354
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    • 2015
  • In this article, free vibration of functionally graded (FG) elliptic plates subjected to various classical boundary conditions has been investigated. Literature review reveals no study has been performed based on functionally graded elliptic plates till date. The mechanical kinematic relations are considered based on classical plate theory. Rayleigh-Ritz technique is used to obtain the generalized eigenvalue problem. The material properties of the FG plate are assumed to vary along thickness direction of the constituents according to power-law form. Trial functions denoting the displacement components are expressed in simple algebraic polynomial forms which can handle any edge support. The objective is to study the effect of geometric configurations and gradation of constituent volume fractions on the natural frequencies. New results for frequency parameters are incorporated after performing a test of convergence. A comparison study is carried out with existing literature for validation in special cases. Three-dimensional mode shapes for circular and elliptic FG plates are also presented with various boundary conditions at the edges.