• 제목/요약/키워드: Winkler 地盤

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Pasternak 지반위에 놓인 변화곡률 수평 곡선보의 자유진동 (Free Vibrations of Horizontally Noncircular Curved Beams resting on Pasternak Foundations)

  • 이병구;박광규;오상진;진태기
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2000년도 춘계학술대회논문집
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    • pp.706-711
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    • 2000
  • This paper deals with the free vibrations of horizontally curved beams on an elastic foundation. Taking into account the effects of rotatory inertia and shear deformation, the differential equations governing free vibrations of noncircular curved beams resting on Pasternak-type foundations are derived and solved numerically. The lowest three natural frequencies for parabolic curved beams with hinged-hinged and clamped-clamped end restraints are calculated. Numerical results are presented to show the effects on the natural frequencies of the non-dimensional system parameters: the horizontal rise to span length ratio, the Winkler foundation parameter, the shear foundation parameter, and the width ratio of contact area between the beam and foundation.

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탄성지반효과가 곡선보의 고유진동수에 미치는 영향 (Influence of Elastic Foundations on Natural Frequencies of Curved Beams)

  • 이병구;오상진;이재만
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 봄 학술발표회 논문집
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    • pp.301-308
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    • 1998
  • This paper deals with the influence of elastic foundations on natural frequencies of curved beams. Taking into account the effects of rotatoy inertia and shear deformation, the differential equations governing free, out-of-plane vibrations of circular curved beams resting on Winkler-type foundations are derived and solved numerically. Hinged-hinged, hinged-clamped and clamped-clamped end constraints are considered in numerical examples. The lowest three natural frequencies are claculated over a range of non-dimensional system parameters: the horizontal rise to span length ratio, the slenderness ratio, the foundation parameter, and the width ratio of contact area between the beam and foundation. The effects of rotatory inertia and shear deformation are also analyzed.

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탄성지반 위에 놓인 낮은 아치의 최저차 대칭 및 역대칭 고유진동수 방정식(구조 및 재료 \circled1) (Lowest Symmetrical and Antisymmetrical Natural Frequency Equations of Shallow Arches on Elastic Foundations)

  • 이병구;박광규;오상진;서종원
    • 한국농공학회:학술대회논문집
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    • 한국농공학회 2000년도 학술발표회 발표논문집
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    • pp.213-218
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    • 2000
  • This paper deals with the free vibrations of shallow arches resting on elastic foundations. Foundations are assumed to follow the hypothesis proposed by Pasternak. The governing differential equation is derived for the in-plane free vibration of linearly elastic arches of uniform stiffness and constant mass per unit length. Sinusoidal arches with hinged-hinged and clamped-clamped end constraints are considered in analysis. The frequency equations (lowest symmetical and antisymmetrical natural frequency equations) are obtained by Galerkin's method. The effects of arch rise, Winkler foundation parameter and shear foundation parameter on the lowest two natural frequencies are investigated.

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3차원 지반재료 모델기반의 다양한 지주형상을 갖는 노측용 가드레일의 동적성능 평가 (Dynamic Performance of Guardrail System with Various Post Shapes Based on 3-D Soil Material Model)

  • 이동우;여용환;양승호;우광성
    • 한국도로학회논문집
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    • 제16권5호
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    • pp.19-28
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    • 2014
  • PURPOSES : This paper evaluates, using LS/DYNA-3D software, the vehicle impact performance of flexible barriers made of steel W-Beam supported by four different types of post configurations. These types include circular post, H-shape post, C-shape post, and square post. METHODS : The post-soil interaction has been investigated according to different impact angles. For this purpose, energy absorption, maximum displacements of post and rail, and occupant risk index of THIV have been compared each other. The three dimensional soil material model, instead of the conventional spring model based on Winkler and p-y curve, has been used to increase the correctness of computational model. RESULTS : It is noted the crash energy absorption has been increased with respect to the increase of impact angle. CONCLUSIONS : In particular, a post with open section(H-shape, C-shape) shows the greater crash energy absorption capability as compared with a post with closed section under the same level of impact conditions.

선형 탄성지반 위에 놓인 압축부재의 자유진동 (Free Vibrations of Compressive Members Resting on Linear Elastic Foundation)

  • 이병구;이광범;모정만;신성철
    • 한국농공학회지
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    • 제42권6호
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    • pp.122-129
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    • 2000
  • The purpose of this study is to investigate both the fundamental and some higher natural frequencies and mode shapes of compressive members resting on the linear elastic foundation. The model of compressive member is based on the classical Bernoulli-Euler beam theory. The differential equation governing free vibrations of such members subjected to an axial load is derived and solved numerically for calculating the natural frequencies and mode shapes. The Improved Euler method is used to integrate the differential equation and the Determinant Search method combined with the Regula-Falsi method to determine the natural frequencies, respectively. In numerical examples, the hinged-hinged, hinged-clamped, clamped-hinged and clamped-clamped end constraints are considered. The convergence analysis is conducted for determining the available step size in the Improved Euler method. The validation of theories developed herein is also conducted by comparing the numerical results between this study and SAP 90. The non-dimensional frequency parameters are presented as the non-dimensional system parameters: section ratio, modulus parameter and load parameter. Also typical mode shapes are presented.

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지반과 구조물 사이의 상호작용을 고려한 농업용 사이로의 해석에 관한 연구(IV) -제 4 보 관행설계법과의 비교 (An Analysis of the Farm Silo Supported by Ground)

  • 조진구;조현영
    • 한국농공학회지
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    • 제30권2호
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    • pp.44-54
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    • 1988
  • This study was carried out to investigate the applicability of the conventional design method for ground supported circular cylindrical shell structures. For this purpose, the ensiled farm silo was adopted as a model structures. Herein, the conventional design method was based on the assumption that such structures are clamped at the bottom edges or the ground pressure is independent of the deflection at the surface. In the present paper, the applicability of above assumption was checked out by comparison with an exact method considering soil-structure interaction. Some results of numerical calculation show us ; When the ground is very hard, for example Winkler's constant k is larger than 100 kg / cm$^2$ / cm, or the bottom plate of structures has a infinitely stiffness, for example the bottom plate thickness is larger than 100 cm, the sectional forces, obtained from the conventional method at any wall of structures resting on an elastic foundation, can used for design purpose. Therefore, if the above condition is satisfied then the conventional assumptions can be justified for the design purpose. In this case, the assumption that such structures are fixed at the lower edges was more realistic than the assumption that the reaction pressure acting on structures is uniformly disributed since the accuracy of results of the analysis by the former assumption was higher than that obtained from the latter assumption. But the sectional forces in the bottom plate resting on ground directly could not be evaluate correctly by the conventional method.

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地盤과 構造物사이의 相互作用을 考慮한 農業用 사이로의 解析에 관한 硏究(Ⅰ) - 第 1 報 模型 및 프로그램의 開發 - (An analysis of the farm silo supported by ground)

  • 조진구;조현영
    • 한국농공학회지
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    • 제27권2호
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    • pp.38-46
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    • 1985
  • The reinforced concrete farm silos on the elastic foundatin are widely used in agricultural engineering because of their superior structural performance, economy and attractive appearance. Various methods for the analysis and design of farm silo, such as the analytical method, the finite difference method, and the finite element methods, can be used. But the analytical procedure can not be applied for the intricate conditions in practice. Therefore lately the finite element method has been become in the structural mechanics. In this paper, a method of finite element analysis for the cylindrical farm silo on ffness matrix for the elastic foundation governed by winkler's assumption. A complete computer programs have been developed in this paper can be applicable not only to the shell structures on elastic foundation but also to the arbitrary three dimensional structures. Assuming the small deflection theory, the membrane and plate bending behaviours of flat plate element can be assumed mutually uncoupled. In this case, the element has 5 degrees of freedom per node when defined in the local coordinate system. However, when the element properties are transformed to the global coordinates for assembly, the 6th degree of freedom should be considered. A problem arises in this procedure the resultant stiffness in the 6th degree of freedom at this node will be zero. But this singularity of the stiffness matrix can be eliminated easily by merely replacing the zero diagonal by dummy stiffness.

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빔요소와 Rigid 링크를 이용한 수평하중에 대한 말뚝 거동 3차원 유한요소해석 (3D Finite Element Analysis of Lateral Loaded Pile using Beam and Rigid Link)

  • 박두희;박종배;김상연;박용부
    • 토지주택연구
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    • 제4권3호
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    • pp.271-277
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    • 2013
  • 수평하중을 받는 말뚝의 거동 예측에는 일반적으로 비선형 p-y 곡선을 이용한 BNWF(Beam on Nonlinear Winkler Foundation) 해석법이 주로 사용된다. BNWF 해석법은 다양한 사례를 통하여 정확성이 입증된 반면 군말뚝의 경우 p-multiplier를 사용해야 하는 단점을 가지고 있다. 이와같은 단점은 유한요소 또는 차분법의 사용으로 해결할 수 있다. 이 방법 적용 시, 지반과 말뚝은 솔리드 요소로 모델링된다. 하지만, 말뚝을 솔리드 요소로 모사하게 되면 회전 자유도가 없어 정확성이 감소하며 이를 극복하기 위해서는 요소의 크기를 현저하게 감소시켜야 하지만 3D 해석에서 요소 수의 증가는 막대한 연산시간이 요구되므로 적용에 문제가 있다. 본 연구에서는 이와 같은 단점을 극복하는 빔요소와 Rigid 링크를 이용한 말뚝 모델링 방법을 구축하였으며 이의 적용성을 현장시험결과와 BNWF의 비교를 통하여 검증하였다. 사용된 해석 프로그램은 지진공학용으로 개발된 OpenSees이다. 비교 결과, 빔요소와 Rigid 링크를 이용한 방법은 비교적 정확하게 현장시험결과와 일치하는 것을 확인하였다. 추후 이 방법은 군말뚝의 해석에 효과적으로 사용될 수 있을 것으로 판단된다.