• Title/Summary/Keyword: 비선형 정적 방정식

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Numerical Analysis for Nonlinear Static and Dynamic Responses of Floating Crane with Elastic Boom (붐(Boom)의 탄성을 고려한 해상크레인의 비선형 정적/동적 거동을 위한 수치 해석)

  • Cha, Ju-Hwan;Park, Kwang-Phil;Lee, Kyu-Yeul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.4
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    • pp.501-509
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    • 2010
  • A floating crane is a crane-mounted ship and is used to assemble or to transport heavy blocks in shipyards. In this paper, the static and dynamic response of a floating crane and a heavy block that are connected using elastic booms and wire ropes are described. The static and dynamic equations of surge, pitch, and heave for the system are derived on the basis of flexible multibody system dynamics. The equations of motion are fully coupled and highly nonlinear since they involve nonlinear mass matrices, elastic stiffness matrices, quadratic velocity vectors, and generalized external forces. A floating frame of reference and nodal coordinates are employed to model the boom as a flexible body. The nonlinear hydrostatic force, linear hydrodynamic force, wire-rope force, and mooring force are considered as the external forces. For numerical analysis, the Hilber-Hughes-Taylor method for implicit integration is used. The dynamic responses of the cargo are analyzed with respect to the results obtained by static and numerical analyses.

Dynamic analysis of magnetic head slider at ultra low clearance (마그네틱 헤드 슬라이더의 극소 공기막에 대한 동특성 해석)

  • 장인배;한동철
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.6
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    • pp.1487-1494
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    • 1990
  • In this paper the dynamic characteristics of self acting air lubricated slider bearing of hard disk/head system are investigated. The dynamic equations of magnetic head mechanism considering both parallel and pitch motion and the time dependent modified Reynolds equation are analyzed and the dynamic pressure distribution of air film is numerically calculated in frequency domain by small perturbation method and finite difference scheme with variable grid. The dynamic response of the slider spacing is obtained accordingly as the moving recording surface vibrates in parallel mode.

A Study on Offshore Longline Type Aquaculture Facilites, Part 1 : 3-D Nonlinear Static Analyisis of Cable-Buoy-Weight Mooring System (내파성 가리비 연승식 양식시성레 관한 연구(I) - 케이블-부이-중량물 계류시스템의 3차원 비선형 정적해석 -)

  • 신현경;김덕수
    • Journal of Ocean Engineering and Technology
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    • v.10 no.1
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    • pp.92-99
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    • 1996
  • Longline type aquaculture facilities are being used for scallpop culture in 30 m of water 2.5 km off the coast of Joomoonjin, Kangwon-do. In this paper, the facilities are modeled by the cabele-buoy-weight system, subject to the nonlinear behaviors of the mooring lines and the effects of current. Its static configuration is shown as a solution of 3-D nonlinear static equation and Runge-Kutta $4^{th}$ method is employed.

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Initial Imperfection Sencitivity in Stiffened Plates (보강판의 초기결함 민감성 연구)

  • 김천욱;원종진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.8 no.3
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    • pp.264-273
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    • 1984
  • 초기경향이 있는 보강평판의 비선형 운동 방정식을 Galerkin method에 의하여 유도하였다. Runge Kutta method를 사용하여 step-load를 받고 있는 보강평판의 동적 좌굴문제의 수치해를 구하였다. 정적 좌굴실험에 의하여 좌굴하중을 결정함에 있어 동적 해석법을 응용할 수 있음을 입증하였으며, step-load를 받는 보강평판의 동적 좌굴해석으로 정적좌굴의 초기결함 민감성을 해 석하였다. 보강평판의 초기결함민강성은 평판보다 훨씬 낮으며 보강재의 편심비가 높을수록 민감 성은 둔화된다.

A Study on the Dynamic Behavior of Cable-Stayed Bridge Considering Geometric Nonlinearity of Cables (케이블의 기하학적 비선형성을 고려한 사장교의 동적거동에 관한 연구)

  • Park, Young Suk;Chung, Si Youn;Lee, Myong Woo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.9 no.4
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    • pp.15-25
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    • 1989
  • This paper presents the results of the numerical analysis on the behavior of cable-stayed bridge considering geometric nonlinearity of cables. Finite element method is used and geometric nonlinearities are considered on the analysis of cable-stayed bridge. The governing equilibrium equations are derived by the principle of virtual work, and modified Newton-Raphson method and Newmark-${\beta}$ method are employed in response calculations. The validity of this study is demonstrated by comparing the examples with analytical results by other method and testing results.

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Response Reduction of a SDOF Structure based on Friction Force Ratio of MR Controller (MR제어기의 마찰력비에 따른 단자유도 구조물의 응답감소)

  • Seong, Ji-Young;Min, Kyung-Won
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.4
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    • pp.435-443
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    • 2010
  • This study presents key parameters for the structure installed with MR controller in reducing its responses. MR controller is regarded as Bingham model of which control forces are frictional and viscous ones. The parameters are identified as friction force ratios, $R_f$ and $R_h$ which are, respectively, ratio of MR controller friction force to static restoring force for free vibration and ratio of the friction force to amplitude of harmonic force. Structure-MR controller system shows nonlinear response behavior due to friction force. Energy balance strategy is adopted to transform the behavior to linear one with equivalent damping ratio. Finally, proposed equivalent linear process is compared to the nonlinear one, which turns out to give acceptably good results.

The Instability Behavior of Shallow Sinusoidal Arches(1) : Classification of Static Buckling According to Shape Characteristics (얕은 정현형 아치의 불안정 거동에 관한 연구(1) : 형상특성에 따른 정적좌굴의 분류)

  • 김승덕;박지윤;권택진
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.3
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    • pp.407-415
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    • 1999
  • There are two kinds of instability phenomena for shell-type structures which are snap-through and bifurcation buckling. These are very sensitive according to the shape characteristics including rise-span ratio and especially shape initial imperfection. In this study, the equilibrium path of shallow sinusoidal arches supported by hinges at both ends is investigated to grasp the instability behavior of shell-type structures with initial imperfection. The Galerkin method is used to get the nonlinear discretized equation of governing differential equation considering geometric nonlinearity of arches and the perturbation method is also used to transform the nonlinear equation to incremental form.

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A Constitutive Equation with Impulse-Momentum Theory for the Expanded Polypropylene (충격량-운동량 이론을 접목시킨 발포 폴리프로필렌의 구성방정식)

  • Kim, Byeong Kil;Cho, Jae Ung;Jeong, Kwang Young;Kim, Nam Hoon;Oh, Bum S.;Hahn, Youngwon;Cheon, Seong S.
    • Composites Research
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    • v.29 no.3
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    • pp.91-97
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    • 2016
  • In this paper, impulse-momentum theory was coupled to a constitutive equation both for implementing quasi-static and impact characteristics of EPP (Expanded polypropylene). Also, parameters which have physical meanings were expressed as functions of relative density. Simultaneous nonlinear Newton-Raphson method was applied to find the proper values for parameters in the constitutive equation along with quasi-static test data. Results from the impulse-momentum theory coupled constitutive equation showed good agreement with experimental data and the potential to be applied to different material type polymeric foam.

Free Vibrations of Tapered Beams with Static Deflection due to Dead Load (사하중에 의한 정적 처짐을 갖는 변단면 보의 자유진동)

  • Lee, Byoung-Koo;Oh, Sang-Jin;Lee, Yong;Lee, Tae-Eun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.1
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    • pp.87-93
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    • 2001
  • 이 논문은 사하중에 의한 정적 처짐을 갖는 변단면 보의 자유진동에 관한 연구이다. 사하중이 작용하는 변단면 보의 자유진동을 지배하는 상미분방정식을 유도하고 이를 수치해석하여 최 저차 3개 모드의 고유진동수 및 진동형을 산출하였다. 수치해석 예제에서는 선형 변단면과 등분포 사하중을 채택하였다. 지점조건으로는 회전-회전, 회전-고정, 고정-고정 보를 채택하였다. 수치해석의 결과로 하중강도, 세장비 및 단면비가 고유진동수에 미치는 영향을 분석하였다. 사하중의 영향을 고려한 경우와 고려하지 않은 경우의 진동형을 서로 비교하였다.

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Temperature-Dependent Viscoplastic-Damage Constitutive Model for Nonlinear Compressive Behavior of Polyurethane Foam (폴리우레탄 폼 비선형 압축 거동 해석용 온도 의존 손상 점소성 구성방정식)

  • Lee, Jeong-Ho;Kim, Seul-Kee;Lee, Jae-Myung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.29 no.5
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    • pp.437-445
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    • 2016
  • Recently, polyurethane foam has been used in various industry fields to preserve temperature environment of structures, and a wide range of loads from the static to the dynamic are imposed on the material during a life period. The biggest characteristic of polyurethane foam is porosity as being polymeric material, and it is generally known that insulation performance of the material strongly depends on internal void size. In addition, polyurethane foam's mechanical behavior has high dependence on strain rate and temperature as well as being highly non-linear ductile for compression. In the non-linear compressive behavior, volume fraction of voids and elastic modulus decrease as strain increases. Therefore, in this study, temperature-dependent viscoplastic-damage constitutive model was developed to describe the non-linear compressive behavior with the aforementioned features of polyurethane foam.