• Title/Summary/Keyword: 단순지지

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Buckling Analysis of Stiffened Plates with Elastic Supports Subjected to In-Plane Bending Moment Considering Warping of End Stiffeners (지지단 보강재의 뒤틀림을 고려한 면내휨을 받는 탄성지지 보강판의 좌굴해석)

  • 이용수
    • Computational Structural Engineering
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    • v.10 no.1
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    • pp.135-148
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    • 1997
  • The main objective of this paper is to analyze the rectangular stiffened plates with two opposite ends elastically restrained and the others simply supported subjected to in-plane bending by Finite Element Method. Another objective is to develope Classical Method analyzing the unstiffened rectangular plates with the above boundary conditions. In order to validate finite element and classical methods, the buckling strengths of the rectangular plates with four simply supported ends, and with two simply supported and the others fixed ends by finite element method and classical method are compared with those of references. In finite element method, elastically restrained ends can be obtained as considering torsional and warping rigidities of end stiffeners. The buckling strengths of the rectangular plates with elastically restrained ends by finite element and classical methods are calculated and compared with each other. In case of stiffened plates, to validate finite element method, the buckling strengths of the rectangular stiffened plates with four simply supported ends, and with two simply supported and the others fixed ends are also compared with those of references. The buckling strengths of the rectangular stiffened plates with elastically restrained ends by finite element method are calculated as solving eigenvalue problems which are obtained as assembling rectangular plate elements and beam elements considered torsional and warping rigidities. The buckling strengths of rectangular stiffened plates according to various positions of rectangular intermediate stiffener, J and I/sub w/ of end stiffeners are also obtained, which are compared to determine the efficient position of intermediate stiffener.

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A Method Estimating Displacement using Measured Strain Response of Simply Supported Girder Bridges (단순지지 거더교의 실측 변형률 응답을 이용한 변위 추정 방법)

  • Jeon, Jun-Chang;Lee, Hee-Hyun
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.20 no.3
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    • pp.18-24
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    • 2016
  • This study presents a simple method which can estimate displacement using measured strain response of simply supported girder bridges. The basic concept of the present method is derived from a relation between displacement and strain, and is generalized by introducing analytical tool. Static and dynamic laboratory test are conducted on simply supported plate which is designed to respond dynamically similar to actual bridges to experimentally verify the present method, and displacement and strain are measured at the midpoint of specimen. Displacement estimated by using measured strain is well agreed with measured one. This study demonstrates that the present method is suitable for estimating displacement of real simply supported bridge, in which the installation of a displacement transducer at the fixed reference point is difficult.

Flexural Vibrations Of Simply Supported Sectorial Plates with Simply Supported And Free Radial Edges (단순지지와 자유의 방사연단을 갖는 단순지지 부채꼴형 평판의 휨진동)

  • Han, Bong-Koo;Kim, Joo-Woo
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.2 no.4
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    • pp.217-223
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    • 1998
  • 본 논문에서는 원형연단이 단순지지 되어 있을 때 단순과 자유의 방사연단 조건을 갖는 부채꼴형 평판의 휨진동에 대한 엄밀한 해석방법을 제시한다. Ritz방법을 이용하여 수직진동변위를 두가지 적합 함수식으로 가정하였다. 이러한 두가지의 적합 함수식은 (1) 수학적으로 완전한 대수삼각다항함수와, (2) 둔각 모서리에서의 휨모멘트 특이도를 고려하는 모서리함수로 구성되어있다. 본 연구에서는 방사연단의 둔각 모서리를 이루는 부채꼴형 각도의 범위에 따른 엄밀한 진동수 및 수직진동 변위의 전형적인 등고선을 제시하였다.

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Load Distribution Ratios of Indeterminate Strut-Tie Models for Simply Supported RC Deep Beams - (I) Proposal of Load Distribution Ratios (단순지지 RC 깊은 보 부정정 스트럿-타이 모델의 하중분배율- (I) 하중분배율의 제안)

  • Kim, Byung Hun;Yun, Young Mook
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.2A
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    • pp.259-267
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    • 2008
  • The ultimate strengths of reinforced concrete deep beams are governed by the capacity of the shear resistance mechanism composed of concrete and shear reinforcing bars, and the structural behaviors of the beams are mainly controlled by the mechanical relationships according to the shear span-to-effective depth ratio, flexural reinforcement ratio, load and support conditions, and material properties. In this study, a simple indeterminate strut-tie model reflecting all characteristics of the ultimate strengths and complicated structural behaviors is presented for the design of simply supported reinforced concrete deep beams. In addition, a load distribution ratio, defined as a magnitude of load transferred by a vertical truss mechanism, is proposed to help structural designers perform the design of simply supported reinforced concrete deep beams by using the strut-tie model approaches of current design codes. In the determination of a load distribution ratio, a concept of balanced shear reinforcement ratio requiring a simultaneous failure of inclined concrete strut and vertical steel tie is introduced to ensure the ductile shear failure of reinforced concrete deep beams, and the prime design variables including the shear span-to-effective depth ratio, flexural reinforcement ratio, and compressive strength of concrete influencing the ultimate strength and behavior are reflected upon based on various and numerous numerical analysis results. In the companion paper, the validity of presented model and load distribution ratio was examined by employing them to the evaluation of the ultimate strengths of various simply supported reinforced concrete deep beams tested to failure.

Vibration of Contact Lenses (콘택트 렌즈의 진동에 관한 연구)

  • Kim, Dae Soo
    • Journal of Korean Ophthalmic Optics Society
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    • v.6 no.1
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    • pp.13-29
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    • 2001
  • A mathematical model was proposed to analyze the vibration of diaphragm, such as the contact lenses fitted on the eyes, being subjected to the external sinusoidal pressure. The model incorporates the differential equations and their numerical solution program, based on the wave equations. Turbo-C and graphic software, formulated to describe the dependence of the various parameters involved in the vibration. The model predicts the radial distribution of amplitude, frequency dependence of both average displacement amplitude and the power of diaphragm whose edge is being either simply supported or rigidly clamped in vibration. The effect of variables such as thickness, radius, damping coefficients on the vibration characteristics was illustrated by the computer simulation of the derived program. As the frequency of driving pressure increases above the certain value determined by the boundary conditions and parameters the wave shape or pattern changes from simple arc to belly or loops having double antinode. It seems that the effect of outer antinode progressively increases as the frequency increases. If this kind of phenomena occurs to the contact lens on the cornea in vivo, it may cause an abnormal correction power in the lenses or pull off the eye due the increased rise of outer part of the lens.

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Active Vibration Control of a Simply Supported Plate with Piezoelectric Sensors and Actuators-II. Experiment (압전센서와 액츄에이터를 이용한 단순지지 평판의 능동 진동제어-II. 실험)

  • 노용래
    • The Journal of the Acoustical Society of Korea
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    • v.11 no.1E
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    • pp.30-41
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    • 1992
  • 압전 센서와 액츄에이터를 이용한 단순지지 평판의 능동 진동제어에 관한 실험적 고찰을 하였 다. 외력과 압전 제어력에 대한 평판의 진동 진폭반응을 고찰하여 구한 이론식의 타당성을 실험적으로 검증하였으며, 사용된 진동원으로는 집중 진동 여기기와 압전 구동기를 채택하였다. 실머치와 이론치 상 호간에는 양호한 상관관계를 보였으며, 비교에서 나타나는 정략적인 오차의 원인을 분석하였다. 본 연구 에서는 고찰된 방법은 임의의 외력조건과 제어 알고리즘에 대해서 적용이 가능하다.

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Simple Method of Analysis for Concrete Slab Bridges by the Specially Orthotropic Laminates Theory (특별직교이방성 적층판이론에 의한 콘크리트 슬래브교량의 간편해석법)

  • Han, Bong-Koo;Suck, Jun-Ho
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.1 no.2
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    • pp.59-65
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    • 2010
  • The simple supported reinforced concrete slab bridges are analyzed by the specially orthotropic laminates theory. This method, however, may be too difficult for some practising engineers. In this paper, the result of analysis for such plate by means of the beam theory with unit width is reported. By using the "correction factor", the accurate solution for the plate can be obtained by the beam theory. By using the "correction factor", the accurate solution for the plate can be obtained by the beam theory. The plate aspect ratio considered is from 1 : 1 to 1 : 6. The result of this paper can be used for simply supported slab bridges analysis.

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Vibration and Stability Characteristics of Cylindrical Panels by the Galerkin Method (Galerkin 해석법에 의한 원통 Panel의 진동 및 좌굴특성)

  • Park, Moon Ho;Park, Sung Jin
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.11 no.4
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    • pp.27-35
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    • 1991
  • This paper presents a numerical analysis procedure and a characteristics for vibration and buckling of the cylinderical panels. The panels with simply-simply or simply-clamped edge supports are subjectes to circumferential compressive or flexural stresses. The differential equations governing vibration and buckling for these panels are derived by using the fundamental differential equation of the Love-Timoshenko and are solved numerically via the Galerkin method. The panel with simply-clamped edge supports is used a trigonometric function or a eigen function of a beam as a trial function and the effects of trial functions on numerical solutions are displayed. Numerical results are presented to demonstrate the effects of the flexural parameters in natural frequencies and coefficients of critical buckling and some typical mode shapes of vibration and buckling are also presented.

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Comparison of Performance of Restrainers of Steel Cables and Shape Memory Alloy Bars for Multiple-Span-Simply-Supported Bridges (다경간 단순지지 교량의 강케이블 및 형상기억합금 변위제어장치의 성능 비교)

  • Choi, Eun Soo;Kim, Lee Hyeon;Park, Joo Nam;Cho, Hyo Nam
    • Journal of Korean Society of Steel Construction
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    • v.19 no.6
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    • pp.587-597
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    • 2007
  • Steel restrainer cables for multiple frame bridges in California in the United States have been shown to be effective in preventing unseating at internal hinges during the past several earthquakes. Consequently, the steel-cable-restrainer is being tested for applications on multiple-span-simply-supported (MSSS) bridges in the mid-American region. In addition, shape memory alloy (SMA) bars in tension are being studied for the same application, multiple frame bridges, the developed seismic forces are transferred to piers through the restrainers. However, in MSSS bridges, the seismic forces are transferred to abutments by the restrainers. Therefore, the abutment' behavior should also be investigated. In this study, we assessed the seismic performance of the three types of restrainers, such as steel restrainer cables, SMA in tension, and SMA in bending for an MSSS bridge from moderate to strong ground motion, bending test of an SMA bar was conducted and its analytical model was determined for this study. Nonlinear time history analyses were conducted to assess the seismic responses of the as-built and the retrofitted bridges. All three types of restrainers reduced the hinge opening and the SMA in tension was the most effective of the three devices in preventing the unseating, all restrainers produced damage on the abutment from the pulling action of the MSSS bridge due to strong ground motions, was found that the retrofit of the abutment in the pulling action is required in the installation of restrainers in MSSS bridges.