• 제목/요약/키워드: nonlinear dynamic explicit analysis

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비선형 수치해석을 통한 단자유도 얕은기초 구조물의 지진 응답특성 검증 (Verification of Nonlinear Numerical Analysis for Seismic Response of Single Degree of Freedom Structure with Shallow Foundation)

  • 추연욱;이진선;김동수
    • 한국지반공학회논문집
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    • 제29권3호
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    • pp.29-40
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    • 2013
  • 본 논문에서는 얕은기초를 가지는 단자유도 구조물의 지진시 응답특성을 시간영역 비선형 유한차분해석을 이용하여 살펴보았다. 해석결과는 중력가속도 20g에서 시행된 동일한 제원을 가지는 동적원심모형실험 결과를 통하여 검증되었다. 검증결과 실험과 해석의 통제운동지점 경계조건 차이에서 발생하는 차이는 지반의 비선형 거동특성으로 발생하는 이력감쇠에 지반의 감쇠비를 추가하여 감소시킬 수 있었다. 이로부터 얻어진 구조물과 지반에서 계측된 가속도 시간이력 및 주파수대역 응답곡선 모두 유사한 결과를 나타내어, 시간영역 비선형 유한차분해석을 통한 지반-구조물 상호작용 해석의 신뢰성을 확보할 수 있었으며, 향후 동적원심모형으로 계측이 어려운 구조물의 잔류변위, 작용토압 등을 효과적으로 판단할 수 있을 것으로 사료된다.

지면조건에 따른 코트 스포츠화 착지 충격력의 전달특성 수치해석 (Numerical Analysis of Impact Force Transfer Characteristics of Court Sport Shoes to Surface Condition)

  • 류성헌;최주형;김성호;부진후;조진래
    • 대한기계학회논문집A
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    • 제28권12호
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    • pp.1974-1981
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    • 2004
  • This paper is concerned with the numerical investigation of the transfer characteristics of the landing impact force exerted on court sport shoes to the sport surface condition. The reaction force occurred by the impact between court sport shoes and sport surface is absorbed by shoes to some extent, but the remaining impact force is to transfer the human body from the sole of a foot. We consider four surface conditions, asphalt, urethane, clay and wood court surfaces. For the dynamic response analysis, we construct a coupled leg-shoes FEM model and create the multi-layered composite surface model. The numerical simulations are performed by an explicit nonlinear finite element method. Through the numerical experiments, we examine the transfer characteristics of the landing impact force to the surface condition.

Numerical dissipation for explicit, unconditionally stable time integration methods

  • Chang, Shuenn-Yih
    • Earthquakes and Structures
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    • 제7권2호
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    • pp.159-178
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    • 2014
  • Although the family methods with unconditional stability and numerical dissipation have been developed for structural dynamics they all are implicit methods and thus an iterative procedure is generally involved for each time step. In this work, a new family method is proposed. It involves no nonlinear iterations in addition to unconditional stability and favorable numerical dissipation, which can be continuously controlled. In particular, it can have a zero damping ratio. The most important improvement of this family method is that it involves no nonlinear iterations for each time step and thus it can save many computationally efforts when compared to the currently available dissipative implicit integration methods.

페리다이나믹스 이론과 병렬연산을 이용한 균열진전 문제의 형상 설계민감도 해석 (Shape Design Sensitivity Analysis of Dynamic Crack Propagation Problems using Peridynamics and Parallel Computation)

  • 김재현;조선호
    • 한국전산구조공학회논문집
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    • 제27권4호
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    • pp.297-303
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    • 2014
  • 페리다이나믹스 이론과 이진분해 기법의 병렬연산을 이용하여 동적 균열진전 문제에 대한 애조인 형상 설계민감도 해석법을 개발하였다. 페리다이나믹스에서는 균열의 연속적인 분기를 다룰 수 있으며, Explicit 시간적분법을 채택한다. 설계민감도 해석은 애조인 변수법은 경로의존성 문제에는 적합하지 않으나 여기서는 응답해석의 경로를 이미 알고 있으므로 채택하여 사용할 수 있었다. 얻어진 해석적 설계민감도는 유한차분과 비교하여 그 정확성을 검증하였다. 유한차분법은 설계섭동량에 민감하여 비선형성이 강한 페리다이나믹스 문제에서 부정확한 설계민감도를 제시할 수 있다. 정확한 설계민감도 해석을 위해서는 이산화과정에서 $C^1$ 연속성을 가지는 체적율이 필요함을 알 수 있었다.

Post-buckling analysis of sandwich FG porous cylindrical shells with a viscoelastic core

  • Foroutan, Kamran;Dai, Liming
    • Steel and Composite Structures
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    • 제45권3호
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    • pp.349-367
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    • 2022
  • In this research, an approach combining a semi-analytical method and an analytical method is presented to investigate the static and dynamic post-buckling behavior of the sandwich functionally graded (FG) porous cylindrical shells exposed to external pressure. The sandwich cylindrical shell considered is composed of a viscoelastic core and two FG porous (FGP) face layers. The viscoelastic core is made of Kelvin-Voigt-type material. The material properties of the FG porous face layer are considered continuous through each face thickness according to a porosity coefficient and a volume fraction index. Two types of sandwich FG porous viscoelastic cylindrical shells named Type A and Type B are considered in the research. Type A shell has the porosity evenly distributed across the thickness direction, and Type B has the porosity unevenly distributes across the thickness direction. The FG face layers are considered in two cases: outside metal surface, inside ceramic surface (OMS-ICS), and inside metal surface, outside ceramic surface (IMS-OCS). According to Donnell shell theory, von-Karman equation, and Galerkin's method, a discretized nonlinear governing equation is derived for analyzing the behavior of the shells. The explicit expressions for static and dynamic critical buckling loading are thus developed. To study the dynamic buckling of the shells, the governing equation is examined via a numerical approach implementing the fourth-order Runge-Kutta method. With a procedure presented by Budiansky-Roth, the critical load for dynamic post-buckling is obtained. The effects of various parameters, such as material and geometrical parameters, on the post-buckling behaviors are investigated.

Behavior of multi-story steel buildings under dynamic column loss scenarios

  • Hoffman, Seth T.;Fahnestock, Larry A.
    • Steel and Composite Structures
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    • 제11권2호
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    • pp.149-168
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    • 2011
  • This paper presents a computational study of column loss scenarios for typical multi-story steel buildings with perimeter moment frames and composite steel-concrete floors. Two prototype buildings (three-story and ten-story) were represented using three-dimensional nonlinear finite element models and explicit dynamic analysis was used to simulate instantaneous loss of a first-story column. Twelve individual column loss scenarios were investigated in the three-story building and four in the ten-story building. This study provides insight into: three-dimensional load redistribution patterns; demands on the steel deck, concrete slab, connections and members; and the impact of framing configuration, building height and column loss location. In the dynamic simulations, demands were least severe for perimeter columns within a moment frame, but the structures also exhibited significant load redistribution for interior column loss scenarios that had no moment connectivity. Composite action was observed to be an important load redistribution mechanism following column loss and the concrete slab and steel deck were subjected to high localized stresses as a result of the composite action. In general, the steel buildings that were evaluated in this study demonstrated appreciable robustness.

승용차 프론트 사이드 조립체 부품의 역할과 붕괴모드에 관한 역설계적 유한요소 충돌해석 (Crush FE Analysis of Front Side Assembly of Passenger Cars for Identifying the Roles of Major Parts Influencing on Collapse Mode with Reverse Engineering)

  • 김용우;김정호;정경신
    • 한국자동차공학회논문집
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    • 제15권4호
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    • pp.33-40
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    • 2007
  • Crashworthiness design is of special interest in automotive industry and in the transportation safety field to ensure the vehicle structural integrity and more importantly the occupant safety in the event of the crash. Front side assembly is one of the most important energy absorbing components in relating to the crashworthiness design of vehicle. The structure and shape of the front side assemblies are different depending on auto-makers and size of vehicles. Thus, it is not easy to grab an insight on designer's intention when you glance at a new front side member without experiences. In this paper, we have performed the explicit nonlinear dynamic finite element analysis on the front side assembly of passenger cars to identify the mechanical roles of major parts in relation to collapse modes from the viewpoint of reverse engineering. To do this, we have performed crash FE analysis for the two different assemblies of small car and heavy passenger car and have compared dynamic behaviors of the two.

선박충돌에 의한 선박과 방호공의 에너지 소산 메카니즘 (The energy dissipation mechanism of ship and fender system by vessel collision)

  • 홍관영;이계희;고재용;이성로
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2005년도 춘계 학술발표회 논문집
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    • pp.696-703
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    • 2005
  • Recently, the collision problems between a bridge and a navigating ship are frequently issued at the stage of structure design. Even the many study results about vessel to vessel collision are presented, but the collision studies between vessel and bridge structure have been hardly presented. In this study, nonlinear dynamic analysis of vessel and fender system carry out using ABAQUS/Explicit commercial program with consideration of some parameters, such as bow structure we composed to shell element also ship's hull is modeling to beam element. Also, buoyancy effect is considered as spring element. The two types of fender systems was comparable with both collision analysis about steel materials fender system and rubber fender system On the purpose of study is analyzed the plasticity dissipated energy of vessel and fender system. We blow characteristic that kinetic energy is disappeared by plastic large deformation in case of collision. Also, We considered dissipated kinetic energy considering friction effect.

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Damage states of yielding and collapse for elevated water tanks supported on RC frame staging

  • Lakhade, Suraj O.;Kumar, Ratnesh;Jaiswal, mprakash R.
    • Structural Engineering and Mechanics
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    • 제67권6호
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    • pp.587-601
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    • 2018
  • Elevated water tanks are inverted pendulum type structures where drift limit is an important criterion for seismic design and performance evaluation. Explicit drift criteria for elevated water tanks are not available in the literature. In this study, probabilistic approach is used to determine maximum drift limit for damage state of yielding and damage state of collapse for the elevated water tanks supported on RC frame staging. The two damage states are defined using results of incremental dynamic analysis wherein a total of 2160 nonlinear time history analyses are performed using twelve artificial spectrum compatible ground motions. Analytical fragility curves are developed using two-parameter lognormal distribution. The maximum allowable drifts corresponding to yield and collapse level requirements are estimated for different tank capacities. Finally, a single fragility curve is developed which provides maximum drift values for the different probability of damage. Further, for rational consideration of the uncertainties in design, three confidence levels are selected and corresponding drift limits for damage states of yielding and collapse are proposed. These values of maximum drift can be used in performance-based seismic design for a particular damage state depending on the level of confidence.

Dynamic Optimization Algorithm of Constrained Motion

  • Eun, Hee-Chang;Yang, Keun-Heok;Chung, Heon-Soo
    • Journal of Mechanical Science and Technology
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    • 제16권8호
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    • pp.1072-1078
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    • 2002
  • The constrained motion requires the determination of constraint force acting on unconstrained systems for satisfying given constraints. Most of the methods to decide the force depend on numerical approaches such that the Lagrange multiplier method, and the other methods need vector analysis or complicated intermediate process. In 1992, Udwadia and Kalaba presented the generalized inverse method to describe the constrained motion as well as to calculate the constraint force. The generalized inverse method has the advantages which do not require any linearization process for the control of nonlinear systems and can explicitly describe the motion of holonomically and/or nongolonomically constrained systems. In this paper, an explicit equation to describe the constrained motion is derived by minimizing the performance index, which is a function of constraint force vector, with respect to the constraint force. At this time, it is shown that the positive-definite weighting matrix in the performance index must be the inverse of mass matrix on the basis of the Gauss's principle and the derived differential equation coincides with the generalized inverse method. The effectiveness of this method is illustrated by means of two numerical applications.