• 제목/요약/키워드: Dynamic displacement

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초기하중을 받는 전단변형을 고려한 비대칭 박벽보의 엄밀한 동적 요소강도행렬 (Exact Dynamic Element Stiffness Matrix of Shear Deformable Nonsymmetric Thin-walled Beams Subjected to Initial Forces)

  • 윤희택;김동욱;김상훈;김문영
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.435-442
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    • 2001
  • Derivation procedures of exact dynamic element stiffness matrix of shear deformable nonsymmetric thin-walled straight beams are rigorously presented for the spatial free vibration analysis. An exact dynamic element stiffness matrix is established from governing equations for a uniform beam element with nonsymmetric thin-walled cross section. First this numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. Thus, the displacement functions of dispalcement parameters are exactly derived and finally exact stiffness matrices are determined using member force-displacement relationships. The natural frequencies are evaluated and compared with analytic solutions or results of the analysis using ABAQUS' shell elements for the thin-walled straight beam structure in order to demonstrate the validity of this study.

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축하중을 받는 비대칭 박벽 곡선보의 엄밀한 동적강도행렬 (Exact Dynamic Stiffness Matrix of Nonsymmetric Thin-walled Curved Beams Subjected to Axial Forces)

  • 윤희택;박영곤;김문영
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2004년도 추계학술대회 논문집
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    • pp.906-915
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    • 2004
  • Derivation procedures of exact dynamic stiffness matrices of thin-walled curved beams subjected to axial forces are rigorously presented for the spatial free vibration analysis. An exact dynamic stiffness matrix is established from governing equations for a uniform curved beam element with nonsymmetric thin-walled cross section. Firstly this numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. Thus, displacement functions of dispalcement parameters are exactly derived and finally exact stiffness matrices are determined using clement force-displacement relationships. The natural frequencies of the nonsymmetric thin-walled curved beam are evaluated and compared with analytical solutions or results by ABAQUS's shell elements in order to demonstrate the validity of this study.

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비대칭 박벽보에 대한 엄밀한 동적 강도행렬의 유도 (Derivation of Exact Dynamic Stiffness Matrix for Non-Symmetric Thin-walled Straight Beams)

  • 김문영;윤희택
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 가을 학술발표회논문집
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    • pp.369-376
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    • 2000
  • For the general loading condition and boundary condition, it is very difficult to obtain closed-form solutions for buckling loads and natural frequencies of thin-walled structures because its behaviour is very complex due to the coupling effect of bending and torsional behaviour. Consequently most of previous finite element formulations introduced approximate displacement fields using shape functions as Hermitian polynomials, isoparametric interpoation function, and so on. The purpose of this study is to calculate the exact displacement field of a thin-walled straight beam element with the non-symmetric cross section and present a consistent derivation of the exact dynamic stiffness matrix. An exact dynamic element stiffness matrix is established from Vlasov's coupled differential equations for a uniform beam element of non-symmetric thin-walled cross section. This numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. The natural frequencies are evaluated for the non-symmetric thin-walled straight beam structure, and the results are compared with available solutions in order to verify validity and accuracy of the proposed procedures.

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Deformation-based seismic design of concrete bridges

  • Gkatzogias, Konstantinos I.;Kappos, Andreas J.
    • Earthquakes and Structures
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    • 제9권5호
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    • pp.1045-1067
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    • 2015
  • A performance-based design (PBD) procedure, initially proposed for the seismic design of buildings, is tailored herein to the structural configurations commonly adopted in bridges. It aims at the efficient design of bridges for multiple performance levels (PLs), achieving control over a broad range of design parameters (i.e., strains, deformations, ductility factors) most of which are directly estimated at the design stage using advanced analysis tools (a special type of inelastic dynamic analysis). To evaluate the efficiency of the proposed design methodology, it is applied to an actual bridge that was previously designed using a different PBD method, namely displacement-based design accounting for higher mode effects, thus enabling comparison of the alternative PBD approaches. Assessment of the proposed method using nonlinear dynamic analysis for a set of spectrum-compatible motions, indicate that it results in satisfactory performance of the bridge. Comparison with the displacement-based method reveals significant cost reduction, albeit at the expense of increased computational effort.

초기 처짐을 갖는 Spherical Shell의 동적 특성에 관한 연구 (I) -기하학적 형상에 따른 동적 특성- (Dynamic Characteristics Analysis of Spherical Shell with Initial Deflection(I))

  • 조진구
    • 한국농공학회지
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    • 제40권3호
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    • pp.113-121
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    • 1998
  • The widespread use of thin shell structures has created a need for a systematic method of analysis which can adequately account for arbitrary geometric form. Therefore, the stress analysis of thin shell has been one of the more challenging areas of structural mechanics. The analysis of axisymmetric spherical shell is almost an every day occurrence in many industrial applications. A reliable and accurate finite element analysis procedure for such structures was needed. In general, the shell structures designed according to quasi-static analysis may fail under conditions of dynamic loading. For a more realistic prediction on the load carrying capacity of these shell, in addition to the dynamic effect, consideration should also include other factors such as nonlinearities in both material and geometry since these factors, in different manner, may also affect the magnitude of this capacity. The objective of this paper is to demonstrate the dynamic characteristics of spherical Shell. For these purpose, the spherical shell subjected to uniformly distributed step load was analyzed for its large displacements elasto-viscoplastic dynamic response. The results for the dynamic characteristics of spherical shell in the cases under various conditions of base-radius/central height(a/H) and thickness/shell radius(t/R) were summarized as follows: 1. The dynamic characteristics with a/H, 1) As the a/H increases, the amplitude of displacement increased. 2) The values of displacement Dynamic Magnification Factor (DMF) range from 2.9 to 6.3 in the crown of shell and the values of factor in the mid-point of shell range from 1.8 to 2.6. 3) As the a/H increases, the values of DMF in the crown of shell is decreased rapidly but the values of DMF in mid-point of shell is increased gradually. 4) The values of DMF of hoop-stresses range from 3.6 to 6.8 in the crown of shell and the values of factor in the mid-point of shell range from 2.3 to 2.6, the values of DMF of stress were larger than that of displacement. 2. The dynamic characteristics with t/R, 1) With the decrease of thickness of shell decreses, the amplitude of the displacement and the period increased. 2) The values of DMF of the displacement were range from 2.8 to 3.6 in the crown of shell and the values of factor in the mid-point of shell were range from 2.1 to 2.2.

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화학적 영향을 고려한 토목섬유-지반 접촉면의 동적상대변위 (Dynamic Relative Displacement of Geosynthetic-Soil Interface Considering Chemical Effect)

  • 곽창원;오명학;장동인;박인준
    • 한국지반공학회논문집
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    • 제32권11호
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    • pp.73-81
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    • 2016
  • 최근 늘어나고 있는 폐기물량에 따라 해상 폐기물 매립장의 건설이 연구되고 있으며, 매립장 내 폐기물의 보강 및 보호 목적으로 토목섬유가 널리 사용되고 있다. 토목섬유는 흙과의 접촉면을 형성하는데 지진시 접촉면에서의 동적 전단 거동이 폐기물 매립장의 지진시 거동 및 안정성을 지배하는 가장 중요한 요소이다. 따라서 접촉면 동적 전단거동 및 동적상대변위 파악이 매우 중요하다. 이러한 접촉면 거동은 주위 환경 및 하중조건에 의해 영향을 받으며 복잡한 응답을 보이므로 이론적 접근이 곤란하다. 본 연구에서는 침출수 내의 산성 및 염기성과 같은 성분이 반복 전단하중 상태에서 지반-토목섬유 접촉면의 동적 상대변위특성에 대하여 실내 시험을 수행하고 그 결과를 분석하였다. 이를 위하여 동적 접촉면 전단 시험기를 이용하여 산성 및 염기성 용액에 840일 장기수침 시료와 60일 단기수침시료에 대하여 반복 단순전단 시험을 수행 하였다. 그 결과 산성 및 염기성 조건 공통적으로 산성일 경우 접촉면의 상대변위가 가장 큰 값을 나타내어 접촉면 손상 정도의 크기가 상대적으로 큰 것으로 나타났다.

변위에 기초한 동하중에서 변환된 등가정하중하에서의 구조최적설계 (Structural Optimization under Equivalent Static Loads Transformed from Dynamic Loads Based on Displacement)

  • 강병수;최우석;박경진
    • 대한기계학회논문집A
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    • 제24권8호
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    • pp.1949-1957
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    • 2000
  • All the loads in the real world act dynamically on structures. Since dynamic loads are extremely difficult to handle in analysis and design, static loads are utilized with dynamic factors. The dyna mic factors are generally determined based on experiences. Therefore, the static loads can cause problems in precise analysis and design. An analytical method based on modal analysis has been proposed for the transformation of dynamic loads into equivalent static load sets. Equivalent static load sets are calculated to generate an identical displacement field in a structure with that from dynamic loads at a certain time. The process is derived and evaluated mathematically. The method is verified through numerical tests. Various characteristics are identified to match the dynamic and the static behaviors. For example, the opposite direction of a dynamic load should be considered due to the vibration response. A dynamic bad is transformed to multiple equivalent static loads according to the number of the critical times. The places of the equivalent static load can be different from those of the dynamic load. An optimization method is defined to use the equivalent static loads. The developed optimization process has the same effect as the dynamic optimization which uses the dynamic loads directly. Standard examples are solved and the results are discussed

가는 모래 지반에서의 말뚝의 동적 군말뚝 효과 분석 (The Evaluation of Dynamic Group Pile Effect in fine sand)

  • 유민택;양의규;김현욱;김명모
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2009년도 세계 도시지반공학 심포지엄
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    • pp.877-883
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    • 2009
  • Shaking table tests are performed to evaluate the dynamic group pile effect in fine sand. Single pile tests and $2{\times}4$ group pile tests are performed on 3D pile spacing. Dynamic p-y backbone curves are obtained to evaluate dynamic group pile effect by using dynamic p-y curve of single pile. And dynamic group pile p-multiplier is estimated by dynamic p-y backbone curve. Dynamic p-multiplier can be calculated by using subground reaction ratio of dynamic p-y backbone curve which is the same displacement of p-y curve peak point As the result, dynamic group pile effects are evaluated in terms of a shaking frequency, a shaking acceleration, and a relative density. Dynamic group pile p-multiplier is the largest at lead pile, and the value decrease at middle pile and trail pile. p multiplier increases as increasing input acceleration and decreasing relative density. This results coincide with NCHRP's research which suggest p multiplier increases as increasing pile cap displacement.

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부이 특성에 따른 궤도 차량 동적 거동 (Dynamic Analysis of Tracked Vehicle by Buoy Characteristics)

  • 김형우;민천홍;이창호;홍섭;배대성;오재원
    • Ocean and Polar Research
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    • 제36권4호
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    • pp.495-503
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    • 2014
  • This paper focuses on the dynamic responses of a tracked vehicle crawling on extremely cohesive soft soil, each side of which is composed of two parallel tracks. The tracked vehicle consisted of 2 bodies. One body is the tracked vehicle body, which is assumed to be a rigid body with 6 DOFs. The other body is the buoy body. The two bodies are connected by a revolute joint. In order to evaluate the travelling performance of a 7 DOFs vehicle, a dynamic analysis program for the tracked vehicle was developed using Newmark's method and the incremental-iterative method. The effects of road wheels on the track and soil are not taken into account. A terra-mechanics model of extremely cohesive soft soil is implemented in form of relationships: normal pressure to sinkage, shear resistance to shear displacement, and dynamic sinkage to shear displacement. Pressure-sinkage relationship and shear displacement-stress relationship should represent the non-linear characteristics of extremely soft soil. Especially, since the shear resistance of soft soil is very sensitive to shear displacement, spatial distribution of shear displacement occurring at the contact area of the tracks should be calculated precisely. The proposed program is developed in FORTRAN.

편심축하중을 받는 비대칭 박벽보의 엄밀한 동적강도행렬 (Exact Dynamic Stiffness Matrix of Nonsymmetric Thin-walled Beams Subjected to Eccentrically Axial Forces)

  • 김문영;윤희택
    • 한국강구조학회 논문집
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    • 제13권6호
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    • pp.703-713
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    • 2001
  • 비대칭단면을 갖는 박벽 직선보의 3차원 자유진동해석을 수행하기 위하여 엄밀한 요소강도행렬을 유도한다. 단면이 균일한 비대칭 박벽 탄성보에 대하여 운동방정식, 힘-변위 관계식을 유도하고 엄밀한 동적강도행렬을 수치적으로 산정하는 방법을 제시한다. 14개의 변위파라미터를 도입하여 고차의 연립미분방정식을 1차 연립미분방정식으로 바꾸고, 비대칭행렬을 갖는 선형 고유치문제의 해를 복소수영역에서 구한다. 이를 이용하여 절점변위에 대한 처짐함수을 엄밀히 구하고, 재단력-변위 관계식을 이용하여 엄밀한 동적요소강도행렬을 산정한다. 본 방법의 타당성을 보이기 위하여 비대칭 박벽보의 고유진동수를 계산하고, 해석해, 혹은 3차 Hermitian 다항식을 사용한 보요소 및 ABAQUS를 사용한 유한요소 해석결과와 비교한다.

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