• Title/Summary/Keyword: 비선형 정적 방정식

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Dynamic Analysis of Guyline in the Offshore Guyed Towers Considering Sea Bed Contact Conditions (심해용 Guyed Tower 계류선의 해저면과의 접촉조건을 고려한 동적 해석)

  • 이명우;박우선;박영석
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.3 no.4
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    • pp.244-254
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    • 1991
  • The numerical analysis on tile behaviour of mooring system in the offshore guyed tower is presented. The governing equilibrium equations are derived by the principle of virtual work. The drag and inertia effects of fluid are included in a Morrison type equation. The finite element method is used in the computation. Geometric nonlinearities for the analysis of the mooring line are considered in which both modified Newton-Raphson method and Newmark-$\beta$ method are employed. Numerical experiments show the validity and the capability of the developed mathematical formulation.

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Dynamic Nonlinear Analysis of Ocean Cables Subjected to Wave Forces (파력을 받는 해양케이블의 동적 비선형 해석)

  • 김문영;김남일;이정렬
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.11 no.4
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    • pp.173-188
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    • 1999
  • Kim et al.(I999) presented a non-linear finite element formulation of spatial ocean cables using multiple noded cable elements. The initial equilibrium state of ocean cables subjected to self-weights, support motions, and current forces was determined using the load incremental method and free vibration analysis were performed considering added mass, In this paper, the methods to generate regular and irregular waves and calculate wave forces due to these waves are discussed and challenging example problems are presented in order to investigate dynamic non-linear behaviors of ocean cables subjected to wave loadings.

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A Study on a Nonlinear Cable Finite Element (非線形 케이블 有限要素에 관한 硏究)

  • 장승필;박정일
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.1 no.1
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    • pp.93-101
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    • 1989
  • A geometrically nonlinear cable finite element is presented to use in the static or dynamic modeling of offshore and onshore structures such as guyed tower, tension leg platform or mooring buoy, submarine cable, cable-stayed bridge, suspension bridge, cable roof and so on. The cable finite element is derived directly from the compatibility equations and flexibility matrix of elastic catenary cable theory for the arbitary plane loading and geome try. A general and virsatile computer program has been developed to perform the analyses of cable member itself or cable guyed or suspened structures, in which Newmark-$\beta$ method is used to obtain a time domain solution and Newton-Raphson iteration method is used to solve the nonlinear system of compatibility equations of cable and algebraic static or dynamic equations at each time step. The results from the static and dynamic analysis of a cable member by the computer program are summarized and presented.

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Analysis of Airship Gust Response Using Low Mach Number Preconditioning (저마하수 예조건화 기법을 이용한 비행선의 돌풍 응답 해석)

  • Kim, Joo-Sung;Nam, Hwa-Jin;Kwon, Oh-Joon;Yeom, Chan-Hong
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.32 no.5
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    • pp.30-40
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    • 2004
  • In the present study, a numerical method has been developed for the calculation of the gust response of an airship using unstructured meshes. A preconditioning method is incorporated for accurate and efficient computations of the Euler equations at the low Mach number range. A simple sharp-edged gust is used as a gust model. The accuracy of the present method is demonstrated through comparisons with an exact line theory. The numerical results show that the variation of lift is relatively larger than that of moment. It is also shown that the static stability of the airship is enhanced with the use of control fins.

Nonlinear Simulation of Flutter Flight Test with the Forced Harmonic Motion of Control Surfaces (조종면 강제 조화운동을 고려한 비선형 플러터 비행시험 모사)

  • Yoo, Jae-Han;Kim, Dong-Hyun;Kwon, Hyuk-Jun;Lee, In;Kim, Young-Ik;Lee, Hee-Woo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.6
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    • pp.92-100
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    • 2002
  • In this study, transonic/supersonic nonlinear flutter analysis system of a complete aircraft including forced harmonic motion pf control surfaces has been effectively developed using the modified transonic small disturbance (TSD) equation. To consider the nonlinear effects, the coupled time marching method (CTM) combining computational structural dynamics (CFD) has been directly applied for aeroelastic computations. The grid system for a complex full aircraft configuration is effectively generated by the developed inhouse code. Intransonic and supersonic flight regimes, the characteristics of static and dynamic aeroelastic effect has been investigated for a complete aircraft model. Also, nonlinear flutter flight simulations for the forced harmonic motion of control surfaces are practically presented in detail.

Dynamic Instability and Multi-step Taylor Series Analysis for Space Truss System under Step Excitation (스텝 하중을 받는 공간 트러스 시스템의 멀티스텝 테일러 급수 해석과 동적 불안정)

  • Lee, Seung-Jae;Shon, Su-Deok
    • Journal of Korean Society of Steel Construction
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    • v.24 no.3
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    • pp.289-299
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    • 2012
  • The goal of this paper is to apply the multi-step Taylor method to a space truss, a non-linear discrete dynamic system, and analyze the non-linear dynamic response and unstable behavior of the structures. The accurate solution based on an analytical approach is needed to deal with the inverse problem, or the dynamic instability of a space truss, because the governing equation has geometrical non-linearity. Therefore, the governing motion equations of the space truss were formulated by considering non-linearity, where an accurate analytical solution could be obtained using the Taylor method. To verify the accuracy of the applied method, an SDOF model was adopted, and the analysis using the Taylor method was compared with the result of the 4th order Runge-Kutta method. Moreover, the dynamic instability and buckling characteristics of the adopted model under step excitation was investigated. The result of the comparison between the two methods of analysis was well matched, and the investigation shows that the dynamic response and the attractors in the phase space can also delineate dynamic snapping under step excitation, and damping affects the displacement of the truss. The analysis shows that dynamic buckling occurs at approximately 77% and 83% of the static buckling in the undamped and damped systems, respectively.

A Rate-Dependent Elastic Plastic Constitutive Equation in Finite Deformation Based on a Slip Model (슬립모델을 이용한 변형률의존 유한변형 탄소성재료의 구성방정식 개발)

  • Nam, Yong-Yun;Kim, Sa-Soo;Lee, Sang-Gab
    • Journal of the Society of Naval Architects of Korea
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    • v.34 no.1
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    • pp.77-86
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    • 1997
  • The advanced development in many fields of engineering and science has caused much interests and demands for crashworthiness and non-linear dynamic transient analysis of structure response. Crash and impact problems have a dominant characteristic of large deformation with material plasticity for short time scales. The structural material shows strain rate-dependent behaviors in those cases. Conventional rate-independent constitutive equations used in the general purposed finite analysis programs are inadequate for dynamic finite strain problems. In this paper, a rate-dependent constitutive equation for elastic-plastic material is developed. The plastic stretch rate is modeled based on slip model with dislocation velocity and its density so that there is neither yielding condition, nor loading conditions. Non-linear hardening rule is also introduced for finite strain. Material constants of present constitutive equation are determined by experimental data of mild steel, and the constitutive equation is applied to uniaxile tension loading.

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Strongest Beams having Constant Volume Supported by Clamped-Clamped and Clamped-Hinged Ends (고정-고정 및 고정-회전 지점으로 지지된 일정체적 최강보)

  • Lee, Byoung Koo;Lee, Tae Eun;Shin, Seong Cheol
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.3A
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    • pp.251-258
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    • 2009
  • This paper deals with the strongest beams with the solid regular polygon cross-section, whose volumes are always held constant. The differential equation of the elastic deflection curve of such beam subjected to the concentrated and trapezoidal distributed loads are derived and solved by using the double integration method. The Simpson's formula was used to numerically integrate the differential equation. In the numerical examples, the clamped-clamped and clamped-hinged ends are considered as the end constraints and the linear, parabolic and sinusoidal tapers are considered as the shape function of cross sectional depth. As the numerical results, the configurations, i.e. section ratios, of the strongest beams are determined by reading the section ratios from the numerical data obtained in this study, under which static maximum behaviors become to be minimum.

Aeroelastic Analysis of Bearingless Rotor Systems in Hover and Forward Flight (무 베어링 로터 시스템의 정지 및 전진 비행시 공력탄성학적 해석)

  • Lim, In-Gyu;Lee, In
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.35 no.6
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    • pp.503-508
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    • 2007
  • In this study, the aeroelastic response and stability of bearingless rotors are investigated using a large deflection beam theory. The outboard main blade, flexbeam, and torque tube are all assumed to be an elastic beam undergoing arbitrary large displacements and rotations. The finite element equations of motion obtained from Hamilton's principle. Two-dimensional quasi-steady strip theory is used to evaluate aerodynamic forces. In hover, the modal approach method based on coupled rotating natural modes is used for the stability analysis. In forward flight, the nonlinear periodic blade steady response is obtained by integrating the full finite element equation in time through a coupled trim procedure with a vehicle trim. The results of the full finite element analysis using the large deflection beam theory are compared with those of a previously published modal analysis using the moderate deflection-type beam theory.

A Study on Three-dimensional Dynamic Analysis of a Towing Cable for Marine Survey Instruments (해양탐사장비 예인케이블의 3차원 동적해석에 관한 연구)

  • 정동호;김종규;박한일
    • The Sea:JOURNAL OF THE KOREAN SOCIETY OF OCEANOGRAPHY
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    • v.8 no.2
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    • pp.203-209
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    • 2003
  • In this study, the configuration and tension of a towing cable for side-scan sonar are predicted in an ambient flow and at an unsteady towing condition. The governing equation of three-dimensional dynamic analysis for a flexible cable is solved using a finite difference method. We successfully predict the configuration and tension of a side-scan sonar and designed the towing system. It is found in static analyses that the side-scan sonar must be towed to keep a its stable depth at a reasonable speed. The study also reveals in the transient analyses that the dominant component affecting the top tension is the tangential drag force for the larger towing speed than the critical speed, and the soft weight of a towed instrument for the smaller towing speed than. It should be maneuvered for a towing vessel with good consideration for the impact effect in a cable due to tension peak when a towing speed is suddenly increase. The developed program can be applicable for three-dimensional dynamic analysis of a towing system for various marine survey instruments.