• Title/Summary/Keyword: 비선형 복원력

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Non-Linear Response of a Semi-Submersible with Non-linear Restoring Forces (비선형 복원력을 가지는 반잠수식 해양구조물의 비선형 응답)

  • Jo, Hyo-Jae
    • Journal of Ocean Engineering and Technology
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    • v.8 no.1
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    • pp.123-130
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    • 1994
  • 일반적으로 규칙파 또는 불규칙파중에서의 반잠수식 해양구조물의 응답을 추정할때, 선형계에 적합한 주파수 영역해석법을 사용하고 있다. 대다수의 해양구조물은 Lower Hull과 단면적이 일정한 Column으로 구성되어 있지만, 만약 Column의 단면적이 홀수에 따라 변화한다면 복원력항에 비선형계를 적용해야만 한다. 따라서 본 논문에서는 비선형 복원력을 고려한 반잠수식 해양구조물의 응답을 추정할 수 있는 시간 영역 해석법을 개발하였다. 그리고, Column형상이 다른 5개의 모델을 선정하여, 이들의 시간 영역 해석결과와 주파수 영역 해석 결과를 서로 비교하였다. 또한 파랑외력으로서 불규칙파를 적용할 때, 비선형 복원력이 해양구조물에 응답에 미치는 영향을 조사 하였다.

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Development of a Nonlinear SI Scheme using Measured Acceleration Increment (측정 가속도 증분을 사용한 비선형 SI 기법의 개발)

  • Shin, Soo-Bong;Oh, Seong-Ho;Choi, Kwang-Hyu
    • Journal of the Earthquake Engineering Society of Korea
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    • v.8 no.6 s.40
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    • pp.73-80
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    • 2004
  • A nonlinear time-domain system identification algorithm using measured acceleration data is developed for structural damage assessment. To take account of nonlinear behavior of structural systems, an output error between measured and computed acceleration increments has been defined and a constrained nonlinear optimization problem is solved for optimal structural parameters. The algorithm estimates time-varying properties of stiffness and damping parameters. Nonlinear response of restoring force of a structural system is recovered by using the estimated time-varying structural properties and computed displacement by Newmark-$\beta$ method. In the recovery, no pre-defined model for inelastic behavior has been assumed. In developing the algorithm, noise and incomplete measurement in space and state have been considered. To examine the developed algorithm, numerical simulation and laboratory experimental studies on a three-story shear building have been carried out.

Evaluation of Nonlinear Response for Moment Resisting Reinforced Concrete Frames Based on Equivalent SDOF System (등가 1 자유도계에 의한 철근콘크리트 모멘트 골조구조의 비선형 지진응답 평가법의 검토)

  • 송호산;전대한
    • Journal of the Earthquake Engineering Society of Korea
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    • v.7 no.1
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    • pp.9-16
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    • 2003
  • To evaluate the seismic performance of multistory building structures use an equivalent SDOF model to represent the resistance of the structure to deformation as it respond in its predominant mode. This paper presents a method of converting a MDOF system into an equivalent SDOF model. The principal objective of this investigation is to evaluate appropriateness of converting method through perform nonlinear time history analysis of a multistory building structures and an equivalent SDOF model. The hysteresis rules to be used an equivalent SDOF model is obtained from the pushover analysis. Comparing the peak inelastic response of a moment resisting reinforced concrete frames and an equivalent SDOF model, the adequacy and the validity of the converting method is verified. The conclusion of this study is following; A method of converting a MDOF system into an equivalent SDOF model through the nonlinear time history response analysis is valid. The representative lateral displacement of a moment resisting reinforced concrete frames is close to the height of the first modal participation vector \ulcorner$_1{\beta}$${_1{\mu}}=1$. It can be found that the hysteresis rule of an equivalent SDOF model have influence on the time history response. Therefore, it necessary for selecting hysteresis rules to consider hysteresis characteristics of a moment resisting reinforced concrete frames.

Use of Higher Order Frequency Response Functions for Non-Linear Parameter Estimation (고차 주파수응답함수를 이용한 비선형 시스템의 매개변수 추정)

  • 이건명
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1994.10a
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    • pp.40-45
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    • 1994
  • 기계시스템의 비선형특성 해석을 위하여 여러가지 방법이 활용되고 있는데, 이들은 Nyquist 선도의 찌그러짐(distortion), Hilbert 변환, 복원력면(restoring force surface), NARMAX, 고차 주파수응답함수(higher order frequency response function), DPE(direct parameter estimation)를 이용한 방법등이다. 이들중 고차 FRF(frequency response function)는 그 개념이 선형시스템의 FRF와 유사하여 비선형시스템의 해석방법으로서 주목을 받고 있으나 아직은 고차 FRF의 특성에 대한 이론적 연구 단계이고, 고차 FRF로부터 비선형특성을 정량적으로 해석하는 연구는 거의 이루어지지 않고 있다. 다항식으로 표시되는 비선형성을 갖는 시스템이 정현파가진을 받을 때 그 응답의 가진주파수 성분은 가진력진폭과 고차 FRF의 무한급수로 나타낼 수 있다. 가진력의 진폭을 변화시켜가며 응답을 측정하고, 고차항을 무시하면 고차 FRF의 값을 근사적으로 구할 수 있다. 고차 FRF는 비선형 시스템의 매개변수의 식으로 나타낼 수 있으므로 이로부터 비선형 매개변수를 추정할 수 있다. 본 논문에서는 비선형강성과 비선형감쇠를 갖는 1자유도 시뮬레이션 시스템에 이 매개변수 추정법을 각각 적용함으로써 이 방법의 가능성을 고찰하였다.

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A Study on Numerical Simulation for Dynamic Analysis of Towed Low-Tension Cable with Nonuniform Characteristics (불균일 단면을 갖는 저장력 예인케이블의 동적해석을 위한 수치해석적 연구)

  • 정동호
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.16 no.1
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    • pp.69-76
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    • 2003
  • Low-tension cables have been increasingly used in recent years due to deep-sea developments and the advent of synthetic cables. In the case of low-tension cables, large displacements may happen due to relatively small restoring forces of tension and thus the effects of fluid and geometric non-linearities and bending stiffness. A Fortran program is developed by employing a finite difference method. In the algorithm, an implicit time integration and Newton-Raphson iteration are adopted. For the calculation of huge size of matrices, block tri-diagonal matrix method is applied, which is much faster than the well-known Gauss-Jordan method in two point boundary value problems. Some case studies are carried out and the results of numerical simulations are compared with a in-house program of WHOI Cable with good agreements.

A Study on Transverse Stability of Ships in Following Seas (추파중에서 항행하는 선박의 복원성능에 관한 연구)

  • K.H.,Son;S.D.,Yun
    • Bulletin of the Society of Naval Architects of Korea
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    • v.26 no.1
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    • pp.1-10
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    • 1989
  • When a ship is travelling in following seas, the encounter frequency is reduced to be very low. n that case surf-riding, broaching-to and capsizing phenomena are most likely to occur. In the present paper, the emphasis is laid upon the transverse stability of ships in following seas, which is related to capsizing phenomenon. The authors intend to clarify the mechanism of the stability variation in following seas. In order to predict that variation, the theoretical calculation method and computer programming are developed. The theoretical calculation is based on Froude-Krylov Hypothesis and static equilibrium condition in waves. Through the application of present calculation method to cargo vessel and fishing boat, it is verified that the transverse stability in following seas with crest amidships can be reduced to a half extent in comparison with calm water stability. On the other hand, the present calculation results are compared with existing experimental data.

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The Prediction of Nonlinear behavior of Double Coil Shape Memory Alloy Spring (이중 나선 구조 형상기억합금 스프링 거동 예측)

  • Lee, Jong-Gu;Ahn, Sung-Min;Cho, Kyu-Jin;Cho, Maenghyo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.25 no.4
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    • pp.347-354
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    • 2012
  • The recovery force and displacement occur due to the phase transformation from the martensite phase to the austenite phase induced by the mechanical loading or thermal loading. These recovery force and displacement depend on an initial geometrical configuration of SMAs and loading conditions. Although the SMAs generally generates large recovery forces, the sufficient recovery displacement cannot be expected without a proper design strategy. The functionality of SMAs is limited due to the unbalance between the large recovery force and the small recovery displacement. This study suggests the double coil SMA spring in order to amplifying the recovery displacement induced by the phase transformation. By predicting the recovery displacement of doble coil SMA springs and one coil SMA springs induced by thermal loading, we show that the double coil SMA spring not only mitigate the unbalance of performance but also have a large recovery displacement for its recovery force than one coil SMA spring.

Primitive Instancing for the Definition of Non-conventional Hull (비정규 선형정의를 위한 원형요소 인스턴싱의 이용)

  • Won-Don Kim;Jong-Ho Nam;Kwang-Wook Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.1
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    • pp.1-9
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    • 1993
  • Various geometric modeling techniques for a hull have been developed with wide application of computer to the ship design. Up to now, they are used for the representation of the sculptured surface with the piecewise polynominal curves or surfaces for a conventional hull. In this paper, a convenient and accurate modeling technique that is instancing and blending of the geometry primitives is introduced for a non-conventional hull such as SWATH, trimaran, caisson etc. Geometric characteristics, hydrostatic particulars and stability of the definded hull are calculated.

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A Stochastic Prediction of Rolling of Ships Using Equivalent Non-linear Method (등가 비선형화 법에 의한 선박 횡요의 확률론적 예측)

  • Sun-Hong Kwon;Jung-Han Chung;Dae-Woong Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.2
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    • pp.60-65
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    • 1992
  • The roll response of a ship to random beam seas is investigated in terms of the threshold crossing process. The non-white excitation process is modeled as an equivalent white-noise one based on the assumption that the upcrossing properties of the response can be approximately replaced by the excitation with a white noise process with a suitable intensity. Then the non-linear damping is reinstated. The reinstated equation of motion with the equivalent white-noise intensity is solved using the equivalent non-linear method to get the desired probability density function. The proposed scheme is tested extensively with varing coefficients.

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Analysis of Response behaviors of offshore mooring structures by a piecewise-linear system (구분적선형시스템을 이용한 해양 구조물의 거동분석)

  • 마호성
    • Computational Structural Engineering
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    • v.10 no.4
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    • pp.251-265
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    • 1997
  • A piecewise-linear system is utilized to model the offshore mooring system. The approximated piecewise-linear restoring force is obtained to be compared with the analytically derived restoring force of a mooring system. Two systems are compared to verify the applicability of the piecewise-linear system to evaluate responses of the mooring system. Using the piecewise-linear system, the response behaviors of mooring systems are examined under various excitations. Nonlinearity of the system and effects of both system and excitation parameters are intensively examined. System responses are identified mainly by observing Poincare maps. The mooring system is found to have various types of responses such as regular harmonic, subharmonic and complex nonlinear behaviors, including chaos by utilizing a piecewise-linear system. Various values of parameters are applied to determine the effects of parameters upon system responses. Response domains are determined by establishing parametric maps.

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