• 제목/요약/키워드: Superposition integral

검색결과 25건 처리시간 0.027초

모달해석기법을 이용한 판 구조물의 진동인텐시티 해석 (Structural Intensity Analysis of Plate Structures Using Modal Analysis)

  • 정상민;조대승;김사수
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1998년도 춘계학술대회논문집; 용평리조트 타워콘도, 21-22 May 1998
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    • pp.319-326
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    • 1998
  • Structural intensity of plates experiencing bending vibration is analytically evaluated using the modal analysis based on the assumed mode method. In the analysis, material internal loss and localized damping are considered. The power obtained by structural intensity integration over the circle containing the excitation source is compared with the power injected into plates to verify the accuracy of the presented method and; to evaluate the convergence of mode superposition. The intensity integration is carried out varying the circle radius and the integral step to investigate their effects in case of the power estimation using structural intensities. In addition, the dominant component among internal forces in the energy transfer by the bending vibration of a stiffened plate is investigated.

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The influence of different support movements and heights of piers on the dynamic behavior of bridges -Part I: Earthquake acting transversely to the deck

  • Michaltsos, George T.;Raftoyiannis, Ioannis G.
    • Interaction and multiscale mechanics
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    • 제2권4호
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    • pp.431-454
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    • 2009
  • This paper presents a simple model for studying the dynamic response of multi-span bridges resting on piers with different heights and subjected to earthquake forces acting transversely to the bridge, but varying spatially along its length. The analysis is carried out using the modal superposition technique, while the solution of the resulting integral-differential equations is obtained via the Laplace transformation. It has been found that the piers' height and the quality of the foundation soil can affect significantly the dynamic behavior of such bridges. Typical examples showing the effectiveness of the method are presented with useful results listed.

선체건조(船體建造)에 있어서 용접공작(熔接工作)으로 인(因)한 열응력(熱應力) 및 잔류응력(殘留應力)에 대(對)한 고찰(考察) -용접작업(熔接作業)으로 인(因)한 열응력해석(熱應力解析)- (Study of the Thermal Stresses and Residual Stresses due to Welding in Hull Constructruction -Thermal Stresses due to Welding-)

  • 김효철;김재근
    • 대한조선학회지
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    • 제13권1호
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    • pp.25-34
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    • 1976
  • Analytical solutions for the transient temperature and quasi-static thermal stresses which arise in thin plates subjected to an instantaneous point source of heat have been investigated. And the solutions have been extended to the case of a moving source of heat with the aid of the Duhamel's superposition integral. For finite disk an experiment was conducted, the measured temperature histories show a good agreement with the theoretical temperature histories, And the histories of thermal stresses show a good qualitative agreement with the physical phenomena. And also we can find out that the maximum temperature and thermal stresses and their location can be estimated by using the solutions for infinite plates instead of the solutions for a finite plate. The solutions can be used for the problems such as a welding or line heating in a hull construction.

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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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원판(圓板)에서 동심원상(同心圓上)을 이동(移動)하는 열원(熱源)에 의(依)한 과도적(過渡的) 열응력해석(熱應力解析) (Transent Thermal Stresses in a Thin Circular Disk due to a Moving Point Source of Heat on a Concentric Circle)

  • 김효철
    • 대한조선학회지
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    • 제12권2호
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    • pp.13-34
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    • 1975
  • Analytical solutions for the transient temperature distribution and quasi-static thermal stresses which arise in a thin circular disk of finite radius subjected to an instantaneous point source acting in its interior have been obtained. And the solutions have been extended to the case of a moving heat source with the aid of the Duhamel's superposition integral. The solutions given are in the form of double infinite serieses, and their numerical results have been compared with the experimental temperature histories. It can be found out that the theoretical histories of thermal stresses show a good agreement with the experimental results and the theoretical histories of thermal stresses show a good qualitative agreement with a physical phenomena. The solutions can be applied to the problems such as a flame hardening of the cylindrical machine elements and a circular patch welding or a circular cutting of the structural member.

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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)(I) -격벽판(隔壁板)에서의 열응력(熱應力)- (On the Thermal Stresses due to Welding of a Penetration Piece for a Watertight Bulkhead Plate(I) -Thermal Stresses in a Bulkhead Plate-)

  • 김효철
    • 대한조선학회지
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    • 제12권1호
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    • pp.1-8
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    • 1975
  • As a first step of a thermal stress analysis in a watertight bulkhead plate during welding of a spool type penetration piece, the bulkhead plate has been idealized as infinite plate with a circular hole. The exact solution for the transient temperature distribution and the associated quasi-static thermal stress which arise in a infinite plate subjected to an instantaneous point source of heat acting on the periphery of the circular hole. And the solutions have been extended to the case of a moving heat source with the aid of the Duhamel's superposition integral. The solutions can be applied to the problems such as a circular cutting or welding of a plate.

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Elastic solutions for shallow tunnels excavated under non-axisymmetric displacement boundary conditions on a vertical surface

  • Wang, Ling;Zou, Jin-Feng;Yang, Tao;Wang, Feng
    • Geomechanics and Engineering
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    • 제19권3호
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    • pp.201-215
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    • 2019
  • A new approach of analyzing the displacements and stress of the surrounding rock for shallow tunnels excavated under non-axisymmetric displacement boundary conditions on a vertical surface is investigated in this study. In the proposed approach, by using a virtual image technique, the shear stress of the vertical ground surface is revised to be zero, and elastic solutions of the surrounding rock are obtained before stress revision. To revise the vertical normal stress and shear stress of horizontal ground surface generated by the combined action of the actual and image sinks, the harmonic functions and corresponding stress function solutions were adopted. Based on the Boussinesq's solutions and integral method, the horizontal normal stress of the vertical ground surface is revised to be zero. Based on the linear superposition principle, the final solution of the displacements and stress were proposed by superimposing the solutions obtained by the virtual image technique and the stress revision on the horizontal and vertical ground surfaces. Furthermore, the ground settlements and lateral displacements of the horizontal and vertical ground surfaces are derived by the proposed approach. The proposed approach was well verified by comparing with the numerical method. The discussion based on the proposed approach in the manuscript shows that smaller horizontal ground settlements will be induced by lower tunnel buried depths and smaller limb distances. The proposed approach for the displacement and stress of the surrounding rocks can provide some practical information about the surrounding rock stability analysis of shallow tunnels excavated under non-axisymmetric displacement boundary conditions on a vertical surface.

KTX용 2경간 연속교량의 동적거동 및 공진감소 (Dynamic Behavior and Resonance Reduction of Two-Span Continuous Bridges for Korean Train eXpress)

  • 오주원
    • 대한토목학회논문집
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    • 제28권1A호
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    • pp.95-104
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    • 2008
  • 본 연구에서는 경부고속철도상의 대표적인 교량인 2경간 연속보 형태의 고속철도 교량에 대하여 동적거동을 해석하고 공진발생의 감소방안들을 제시하였다. 하중은 한국형 고속철도하중인 총길이 380.15 m의 TGV-K 열차(2P+18T)가 일정한 속도로 이동하는 것으로 하였다. 동적거동을 모사하는 지배방정식은 질량과 강성이 분포된 연속계에서 만들어진 편미분방정식을 이용하여 구하였으며 Duhamel 적분을 이용한 모달계수의 처리를 수반하는 모드중첩법을 이용하여 동적해석을 수행하였다. 열차의 주행속도에 관계없이 동적거동을 급격히 감소시킬 수 있는 지간장이 존재하였으며 지금까지 연구된 단순보 형태의 교량에서 분석된 결과와는 달랐다. 열차의 주행속도에 의존하여 동적응답이 급격히 증가되어 공진현상을 일으키는 경우에도 공진을 감소시킬 수 있는 여러 방안들을 제시하였다.

Seismic response analysis of reinforced concrete frames including soil flexibility

  • Jayalekshmi, B.R.;Poojary, V.G. Deepthi;Venkataramana, Katta;Shivashankar, R.
    • Structural Engineering and Mechanics
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    • 제48권1호
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    • pp.1-16
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    • 2013
  • The seismic response of RC space frame structures with isolated footing resting on a shallow soil stratum on rock is presented in this paper. Homogeneous soil stratum of different stiffness in the very soft to stiff range is considered. Soil, footing and super structure are considered to be the parts of an integral system. A finite element model of the integrated system is developed and subjected to scaled acceleration time histories recorded during two different real earthquakes. Dynamic analysis is performed using mode superposition method of transient analysis. A parametric study is conducted to investigate the effect of flexibility of soil in the dynamic behaviour of low-rise building frames. The time histories and Fourier spectra of roof displacement, base shear and structural response quantities of the space frame on compliant base are presented and compared with the fixed base condition. Results indicate that the incorporation of soil flexibility is required for the realistic estimate of structural seismic response especially for single storey structures resting on very soft soil.

열충격하 적층체의 열탄성 구배기능 계면영역을 고려한 동일선상 복수균열 해석 (Collinear cracks in a layered structure with a thermoelastically graded interfacial zone under thermal shock)

  • 최형집;진태은;이강용
    • 대한기계학회논문집A
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    • 제22권4호
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    • pp.779-789
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    • 1998
  • In this paper, the thermal shock responses of collinear cracks in a layered medium are investigated based on the uncoupled, quasi-static plane thermoelasticity. The medium is modeled as a bonded structure composed of a surface layer and a semi-infinite substrate. Between these two dissimilar homogeneous constituents, a functionally graded interfacial zone exists with the nonhomogeneous features of continuously varying thermoelastic properties. Three cracks are assumed to be present in the layered medium, one in each one of the constituent materials, aligned collinearly normal to the nominal interfaces. A system of singular integral equations is solved, subjected to the forcing terms of equivalent transient thermal tractions acting on the locations of cracks via superposition. Main results presented are the transient thermal stress intensity factors to illustrate the parametric effects of various geometric and amterial combinations of the medium with the thermoelastically graded interfacial zone and the collinear cracks.