• 제목/요약/키워드: newmark integration method

검색결과 130건 처리시간 0.022초

Study on dynamic behavior analysis of towed line array sensor

  • Shin, Hyun-Kyoung;Ryue, Jung-Soo;Ahn, Hyung-Taek;Seo, Hee-Seon;Kwon, Oh-Cho
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제4권1호
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    • pp.9-19
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    • 2012
  • A set of equations of motion is derived for vibratory motions of an underwater cable connected to a moving vehicle at one end and with drogues at the other end. From the static analysis, cable configurations are obtained for different vehicle speeds and towing pretensions are determined by fluid resistance of drogues. Also the dynamic analysis is required to predict its vibratory motion. Nonlinear fluid drag forces greatly influence the dynamic tension. In this study, a numerical analysis program was developed to find out the characteristic of cable behaviour. The motion is described in terms of space and time coordinates based on Chebyshev polynomial expansions. For the spatial integration the collocation method is employed and the Newmark method is applied for the time integration. Dynamic tensions, displacements, velocities, accelerations were predicted in the time domain while natural frequencies and transfer functions were obtained in the frequency domain.

Time-frequency analysis of a coupled bridge-vehicle system with breathing cracks

  • Wang, W.J.;Lu, Z.R.;Liu, J.K.
    • Interaction and multiscale mechanics
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    • 제5권3호
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    • pp.169-185
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    • 2012
  • The concrete bridge is likely to produce fatigue cracks during long period of service due to the moving vehicular loads and the degeneration of materials. This paper deals with the time-frequency analysis of a coupled bridge-vehicle system. The bridge is modeled as an Euler beam with breathing cracks. The vehicle is represented by a two-axle vehicle model. The equation of motion of the coupled bridge-vehicle system is established using the finite element method, and the Newmark direct integration method is adopted to calculate the dynamic responses of the system. The effect of breathing cracks on the dynamic responses of the bridge is investigated. The time-frequency characteristics of the responses are analyzed using both the Hilbert-Huang transform and wavelet transform. The results of time-frequency analysis indicate that complicated non-linear and non-stationary features will appear due to the breathing effect of the cracks.

순차적 전자기-구조 연성해석을 통한 전자기성형 공정 해석 (Analysis of Electromagnetic Forming Using Sequential Electromagnetic-Mechanical Coupled Simulations)

  • 김정;노학곤;고세진;김태정
    • 소성∙가공
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    • 제21권7호
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    • pp.441-446
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    • 2012
  • A sequential coupled field analysis of electromagnetic free bulging was performed by using FEM. A 2D axi-symmetric electromagnetic model based on the magnetic vector potential is proposed for the calculation of magnetic field and Lorentz's forces. The Newmark integration method is used to calculate the transient dynamic plastic deformation of sheet during free bulging. In the finite element model, the effect of sheet deformation on the electromagnetic field analysis is taken into consideration. In order to confirm the sequential electromagnetic-mechanical coupling analysis, an experiment with an electromagnetic forming apparatus was conducted. The results showed that the final bulge height of the sheet predicted from the proposed method is in good agreement with experimentally measured height.

복합재료 평판의 비선형 3차원 저속 충격 해석 (3-Dimensional Nonlinear Analysis of Low Velocity Impact On Composite Plates)

  • 김승조;지국현
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2000년도 춘계학술발표대회 논문집
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    • pp.38-42
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    • 2000
  • In this study, the low velocity impact behavior of the composite laminates has been described by using 3 dimensional nonlinear finite elements. To describe the geometric nonlinearity due to large deformation, the dynamic contact problem is formulated using the exterior penalty finite element method on the base of Total Lagrangian formulation. The incremental decomposition is introduced, and the converged solution is attained by Newton-Raphson Method. The Newmark's constant-acceleration time integration algorithm is used. To make verification of the finite element program developed in this study, the solution of the nonlinear static problem with occurrence of large deformation is compared with ABAQUS, and the solution of the static contact problem with indentation is compared with the Hertz solution. And, the solution of low velocity impact problem for isotropic material is verificated by comparison with that of LS-DYNA3D. Finally the contact force of impact response from the nonlinear analysis are compared with those from the linear analysis.

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An adaptive control of spatial-temporal discretization error in finite element analysis of dynamic problems

  • Choi, Chang-Koon;Chung, Heung-Jin
    • Structural Engineering and Mechanics
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    • 제3권4호
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    • pp.391-410
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    • 1995
  • The application of adaptive finite element method to dynamic problems is investigated. Both the kinetic and strain energy errors induced by space and time discretization were estimated in a consistent manner and controlled by the simultaneous use of the adaptive mesh generation and the automatic time stepping. Also an optimal ratio of spatial discretization error to temporal discretization error was discussed. In this study it was found that the best performance can be obtained when the specified spatial and temporal discretization errors have the same value. Numerical examples are carried out to verify the performance of the procedure.

Piezocomposite 재료를 사용한 회전하는 블레이드의 진동억제 (Vibration suppression of rotating blade with piezocomposite materials)

  • 최승찬;김지환
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2004년도 추계학술발표대회 논문집
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    • pp.282-285
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    • 2004
  • The main purpose of this study is the vibration suppression of rotating composite blade containing distributed piezoelectric sensors and actuators. The blade is modeled by thin-walled, single cell composite beam including the warping function, centrifugal force, Coriolis acceleration and piezoelectric effect. Further, the numerical study is performed m ing finite element method. The vibration of composite rotor is suppressed by piezocomposite actuators and PVDF sensors that are embedded between composite layers. A velocity feedback control algorithm coupling the direct and converse piezoelectric effect is used to actively control the' dynamic response of an integrated structure through a closed control loop. Responses of the rotating blade are investigated. Newmark time integration method is used to calculate the time response of the model. In the numerical simulation, the effect of parameters such as rotating speed, fiber orientation of the blade and size of actuators are studied in detail.

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Forced vibration of an embedded single-walled carbon nanotube traversed by a moving load using nonlocal Timoshenko beam theory

  • Simsek, Mesut
    • Steel and Composite Structures
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    • 제11권1호
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    • pp.59-76
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    • 2011
  • Dynamic analysis of an embedded single-walled carbon nanotube (SWCNT) traversed by a moving nanoparticle, which is modeled as a moving load, is investigated in this study based on the nonlocal Timoshenko beam theory, including transverse shear deformation and rotary inertia. The governing equations and boundary conditions are derived by using the principle of virtual displacement. The Galerkin method and the direct integration method of Newmark are employed to find the dynamic response of the SWCNT. A detailed parametric study is conducted to study the influences of the nonlocal parameter, aspect ratio of the SWCNT, elastic medium constant and the moving load velocity on the dynamic responses of SWCNT. For comparison purpose, free vibration frequencies of the SWCNT are obtained and compared with a previously published study. Good agreement is observed. The results show that the above mentioned effects play an important role on the dynamic behaviour of the SWCNT.

A general method of analysis of composite beams with partial interaction

  • Ranzi, G.;Bradford, M.A.;Uy, B.
    • Steel and Composite Structures
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    • 제3권3호
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    • pp.169-184
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    • 2003
  • This paper presents a generic modelling of composite steel-concrete beams with elastic shear connection. It builds on the well-known seminal technique of Newmark, Siess and Viest, in order to formulate the partial interaction formulation for solution under a variety of end conditions, and lends itself well for modification to enable direct quantification of effects such as shrinkage, creep, and limited shear connection slip capacity. This application is possible because the governing differential equations are set up and solved in a fashion whereby inclusion of the kinematic and static end conditions merely requires a statement of the appropriate constants of integration that are generated in the solution of the linear differential equations. The method is applied in the paper for the solution of the well-studied behaviour of simply supported beams with partial interaction, as well as to provide solutions for a beam encastr$\acute{e}$ at its ends, and for a propped cantilever.

유연관-해저주행차량 연성 동적거동 해석 (Coupled Dynamic Analyses of Underwater Tracked Vehicle and Long Flexible Pipe)

  • 홍섭;김형우
    • 한국해양학회지:바다
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    • 제13권3호
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    • pp.237-245
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    • 2008
  • 우리는 해저 연약지반 주행차량과 주행차량의 상부에 결합되어 있는 유연관의 연성거동 동력학 해석 기법을 개발하였다. 연약지반 주행차량은 1개의 강체로 모델링되었으며, 질량집중매개변수 기법을 이용한 이산화기법을 적용하여 유연관을 모델링하였다. 강체 무한궤도 주행차량의 운동방정식과 유연관의 3차원 비선형 지배방정식을 결합시켰으며, 4개의 오일러 매개변수를 이용하여 주행차량과 유연관의 자세를 표현하였다. 주행차량과 유연관의 비선형 연성거동 동력학 방정식의 해를 구하기 위해, 증분-반복법을 이용하였다. 시간영역 수치적분을 위해 $Newmark-\beta$기법을 이용하였다. 증분-반복법을 적용하여 연성 운동방정식에 대한 자코비안 행렬을 유도하였다. 동적거동 동력학 해석 기법을 통해 유연관의 동적거동과 연약지반 위를 주행하는 무한궤도 차량의 동적거동 사이의 상호작용을 시간영역에서의 관찰하였다.

복합재료 교량 바닥판의 주행속도에 따른 동적응답 평가 (Estimation of Dynamic Response of Advanced Composite Material Decks for Bridges Application under Various Vehicle Driving Velocities)

  • 천경식;장석윤
    • Composites Research
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    • 제16권6호
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    • pp.23-32
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    • 2003
  • 복합 신소재의 건설 분야 적용은 확대되고 있는 추세이고, 높은 비강도 비를 지닌 복합 신소재 교량 바닥 판의 개발은 국내외에서 활발히 진행되고 있다. 본 연구의 목적은 이동 하중을 받는 비등방성 복합재료 적층판의 동적 응답을 정식화하고, 유한요소법을 사용하여 적층에 따른 동적거동 특성을 분석하는 것이다. 수치 해석 모델에 대해서 이동하중의 속도를 증가시키면서 동적 확대 계수를 계산하였다. 또한 적층형식 및 순서, 섬유 보강 각도 등의 변화에 따른 동적 거동 특성을 분석하였다. 본 연구 프로그램의 타당성을 확보하기 위해 휨과 자유 진동 해석에 관한 기존 문헌 결과와 비교하여 검증하였다. 또한 이동 하중에 의한 동적 해석에 대해 모우드 중첩법과 Newmark 직접 적분법을 사용하였다. 이러한 이동 하중과 적층 수, 적층 순서 및 섬유 보강 각도에 따른 수치 해석 결과는 완전 복합 신소재 교량 바닥 판을 개발하는데 있어서 중요한 기초 자료로 제시될 수 있을 것이다.