• 제목/요약/키워드: Tapered thick Plate

검색결과 19건 처리시간 0.019초

탄성지지된 집중질량을 갖는 변단면 후판의 진동해석 (Vibration Analysis of Thick Plates with Concentrated Mass on Elastic Foundation)

  • 김일중;오숙경;이용수
    • 한국소음진동공학회논문집
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    • 제16권6호
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    • pp.609-618
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    • 2006
  • This study is undertaken for the vibration analysis of tapered thick plate with concentrated mass on elastic foundation. The boundary condition of the plate is analyzed with the 4-sides simply supported and 4-fixed basis. This study find out the frequency following the change in size for each foundational variable on Pasternak foundation, one of the two-parameter elastic foundation parameter that considered the shear layer to the Winkler foundation parameter. The concentrated mass is applied with the consideration of mass of the entire plate, and the change of frequency is studies on each location with the consideration of reacting for the three locations for concentrated mass. And, in order to find out the change of frequency on the thickness of the plate, it considered tapered ratio that linearly changes depending on the length of the plate with the thickness of the plate in x-direction, and the tapered ratio has changes with 4 types ($\alpha$=0.25, 0, 5, 0.75, and 1.0). For the interpretation, the program using finite element method (F.E.M.) is used and the element coordination is used the 8-node serendipity element. Therefore, the purpose of this study is to find out the characteristics of plate vibration under the mechanica vibration or external vibration factor to facilitate as the basic data of the design to secure the stability.

집중질량 위치변화에 따른 변단면 후판의 진동해석 (Vibration Analysis of Tapered Thick Plates on Position of Concentated Mass)

  • 오숙경;이용수;김일중
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2006년도 정기 학술대회 논문집
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    • pp.681-688
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    • 2006
  • This paper has the object of investigating natural frequencies of tapered thick plate on pasternak foundation by means of finite element method and providing kinetic design data for mat of building structures. Finite element analysis of rectangular plate is done by use of rectangular finite element with 8-nodes. In order to analysis plate which is supported on pasternak foundation. the Winkler parameter is varied with 10, $10^2,\;10^3$ and the shear foundation parameter is 5, 10. This paper is analyzed varying thickness by taper ratio. The taper ratio is applied as 0.0, 0.25, 0.5, 0.75, 1.0 respectively.

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농촌지역 저층 조적조 건축물의 벽체 및 옹벽의 진동 안정 해석 - 전북 정읍시 ◯◯면 농촌지역 사례를 중심으로 - (Rural areas, Vibration Stability Analysis of Wall and Retaining Wall of Low-rise Masonry Buildings)

  • 이덕용;김일중
    • 한국농촌건축학회논문집
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    • 제16권4호
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    • pp.59-66
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    • 2014
  • This paper deals with vibration of plates with concentrated mass on elastic foundation. The object of investigating natural frequencies of tapered thick plate on pasternak foundation by means of finite element method and providing kinetic design data for mat of building structures. Free vibration analysis that tapered thick plate in this paper. Finite element analysis of rectangular plate is done by use of rectangular finite element with 8-nodes. In order to analysis plate which is supported on pasternak foundation. The Winkler parameter is varied with 10, $10^2$, $10^3$ and the shear foundation parameter is 5, 10. This paper is analyzed varying thickness by taper ratio. The taper ratio is applied as 0.0, 0.25, 0.5, 0.75, 1.0. And the Concentrated Mass is applied as P1, Pc, P2 respectively.

비균질 Pasternak 지반에 놓인 집중질량을 갖는 변단면 후판의 동적안정해석 (Dynamic Stability Analysis of Thick Plates with Varying Thickness and Concentrated Mass on Inhomogeneous Pasternak Foundation)

  • 이용수;김일중
    • 한국소음진동공학회논문집
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    • 제21권8호
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    • pp.698-707
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    • 2011
  • 이 연구는 유한요소법을 이용하여 집중질량을 갖고 비균질한 지반에 놓은 변단변 후판 구조물에 대한 동적 안정해석이다. 해석을 위하여 유한요소법을 이용하여 해당구조물의 고유진동수와 좌굴하중을 구하여 기존해와 비교하여 프로그램을 검증하였다. 비균질 Pasternak 지반에 놓인 변단면으로 집중질량을 갖는후판의 동적안정 해석을 통하여 판의 불안정 영역이 결정된다. 무차원 Winkler 지반강성은 100, 1000을 적용하였고, 무차원 전단지반강성은 5로 하였다. 그리고 변단면율은 0.25, 1.0, 집중질량비는 0.25, 1.0 그리고 면내응력은 $0.4{\sigma}_{cr}$을 적용하여 해석하였다.

변단면률의 변화에 대한 개구부를 갖는 판의 진동해석 (Vibration Analysis of Plates with Openning about Variation Ratio)

  • 김일중
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 춘계학술대회논문집
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    • pp.1177-1180
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    • 2007
  • This paper has the objects of deciding dynamic instability regions of thick plates by finite element method and providing kinematic design data for mats and slabs of building structures. In this paper, dynamic stability analysis of tapered opening thick plate is done by use of Serendipity finite element with 8 nodes considering shearing strain of plate. To verify this finite element method, buckling stress and natural frequencies of thick pate with or without in-plane stress are compared with existing solutions. The results are as follow that this finite element solutions with $4{\times}4$ meshes are shown the error of maximum 0.56% about existing solutions, and obtained dynamic instability graph according with variation of opening positions.

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변두께를 갖는 두꺼운 환형판의 삼차원적 리츠방법에 의한 진동수와 모드형상 (Frequencies and Mode Shapes of Annular Plates tilth Variable Thickness by the Ritz Method in Three-Dimensional Analysis)

  • 양근혁;강재훈
    • 한국소음진동공학회논문집
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    • 제11권5호
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    • pp.89-100
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    • 2001
  • The Ritz method Is applied In a three-dimensional (3-D) analysis to obtain accurate frequencies for thick. linearly tapered. annular plates. The method is formulated for annular plates haying any combination of free or fixed boundaries at both Inner and outer edges. Admissible functions for the three displacement components are chosen as trigonometric functions in the circumferential co-ordinate. and a1gebraic polynomials in the radial and thickness co-ordinates. Upper bound convergence of the non-dimensional frequencies to the exact values within at least four significant figures is demonstrated. Comparisons of results for annular plates with linearly varying thickness are made with ones obtained by others using 2-D classical thin place theory. Extensive and accurate ( four significant figures ) frequencies are presented 7or completely free. thick, linearly tapered annular plates haying ratios of average place thickness to difference between outer radius (a) and inner radius (b) radios (h$_{m}$/L) of 0.1 and 0.2 for b/L=0.2 and 0.5. All 3-D modes are included in the analyses : e.g., flexural, thickness-shear. In-plane stretching, and torsional. Because frequency data liven is exact 7o a\ulcorner least four digits. It is benchmark data against which the results from other methods (e.g.. 2-D 7hick plate theory, finite element methods. finite difference methods) and may be compared. Throughout this work, Poisson\`s ratio $\upsilon$ is fixed at 0.3 for numerical calculations.s.

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Eigenfrequencies of simply supported taper plates with cut-outs

  • Kalita, Kanak;Haldar, Salil
    • Structural Engineering and Mechanics
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    • 제63권1호
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    • pp.103-113
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    • 2017
  • Free vibration analysis of plates is necessary for the field of structural engineering because of its wide applications in practical life. Free vibration of plates is largely dependent on its thickness, aspect ratios, and boundary conditions. Here we investigate the natural frequencies of simply supported tapered isotropic rectangular plates with internal cutouts using a nine node isoparametric element. The effect of rotary inertia on Eigenfrequencies was demonstrated by calculating with- and without rotary inertia. We found that rotary inertia has a significant effect on thick plates, while rotary inertia term can be ignored in thin plates. Based on comparison with literature data, we propose that the present formulation is capable of yielding highly accurate results. Internal cutouts at various positions in tapered rectangular simply supported plates were also studied. Novel data are also reported for skew taper plates.

Cone-beam computed tomographic analysis of the alveolar ridge profile and virtual implant placement for the anterior maxilla

  • Lim, Hyun-Chang;Kang, Do-Uk;Baek, Hyehyeon;Hong, Ji-Youn;Shin, Seung-Yun;Chung, Jong-Hyuk;Herr, Yeek;Shin, Seung-Il
    • Journal of Periodontal and Implant Science
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    • 제49권5호
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    • pp.299-309
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    • 2019
  • Purpose: To analyze the ridge profile of the anterior maxilla using cone-beam computed tomography and to assess the clinical significance of the ridge profile by performing virtual implant placement. Methods: Thirty-two cone-beam computed tomography scans of anterior maxillae were included. For each tooth, a vertical line was made along the longitudinal axis, and 3 horizontal lines at 1-, 3-, and 5-mm levels below the labial bone crest were drawn perpendicularly to the vertical reference. At these levels, the thickness of the alveolar ridge (RT), and the labial (LT) and palatal bone plate (PT) were measured. Then, virtual implant placement using standard and tapered implants was performed. A generalized linear mixed model was used for statistical analysis. Results: The teeth were located labially based on the proportion of LT and PT with respect to RT. At the 1-mm level, the value of LT was between $1.0{\pm}0.4mm$ for central incisors and $1.3{\pm}0.6mm$ for canines. A large number of teeth had area(s) with less than 1-mm-thick labial bone between the 1- and 5-mm levels below the crest. The mean PT was generally thicker than the LT in all tooth types. The greatest mean value of labial concavity was observed for canines, compared to other tooth types. Men had a greater RT than did women, but had a comparable LT. Less apical fenestration was observed when tapered implants were used. Conclusions: Most teeth in the anterior maxilla had a thin labial bone plate, with no significant difference between sexes. Tapered implants may be advantageous for the anterior maxilla.

반복하중을 받는 비보강 확장 단부판 접합부의 해석 및 실험적 연구 (Analytical and Experimental Study of an Unstiffened Extended End-Plate Connection)

  • 김희동;양재근;배다솔
    • 한국강구조학회 논문집
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    • 제28권6호
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    • pp.439-448
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    • 2016
  • 확장단부판 접합부는 강구조물의 보-기둥 접합부 혹은 변단면 부재로 구성된 PEB 구조시스템에 적용되는 접합부의 한 형태이다. 확장단부판 접합부는 접합부를 구성하는 단부판의 두께, 고장력볼트의 게이지 거리, 고장력볼트 축부의 직경, 고장력볼트의 개수 등의 영향으로 상이한 거동특성을 나타낸다. 확장단부판 접합부는 미국 및 유럽 등지에서는 다양한 형태로 강구조물의 기둥-보 접합부에 적용되고 있으나 우리나라에서는 널리 적용되고 있지 않다. 이러한 이유로는 확장단부판 접합부에 대한 설계강도식 제안, 접합부상세 제안, 내진성능 평가, 제작 및 시공지침서 개발 등이 적절히 이루어지지 못하고 있기 때문이다. 따라서 이 연구는 비보강 확장단부판 접합부의 국내 적용을 위한 기초자료를 제공하기 위하여 진행하였다. 이를 위하여 두께 12mm의 비보강 확장단부판에 대한 비선형 유한요소해석 및 실험을 수행하였다.