• Title/Summary/Keyword: Non-Linear Inertia

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Sloshing Analysis in Rectangular Tank with Porous Baffle (투과성 내부재가 설치된 사각형 탱크내의 슬로싱 해석)

  • Cho, IL-Hyoung
    • Journal of Ocean Engineering and Technology
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    • v.29 no.1
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    • pp.1-8
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    • 2015
  • An analytical model of liquid sloshing is developed to consider the energy-loss effect through a partially submerged porous baffle in a horizontally oscillating rectangular tank. The nonlinear boundary condition at the porous baffle is derived to accurately capture both the added inertia effects and the energy-loss effects from an equivalent non-linear drag law. Using the eigenfunction expansion method, the horizontal hydrodynamic force (added mass, damping coefficient) on both the wall and baffle induced by the fluid motion is assessed for various combinations of porosity, submergence depth, and the tank's motion amplitude. It is found that a negative value for the added mass and a sharp peak in the damping curve occur near the resonant frequencies. In particular, the hydrodynamic force and free surface amplitude can be largely reduced by installing the proper porous baffle in a tank. The optimal porosity of a porous baffle is near P=0.1.

Free Vibrations of Circular Strip Foundations with Variable Breadth (변화폭 원호형 띠기초의 자유진동)

  • Lee, Byong-Koo;Huh, Young;Lee, Jong-Kook
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.3
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    • pp.230-235
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    • 2004
  • This paper deals with the free vibration analysis of circular strip foundations with the variable breadth. Taking into account effects of both rotatory inertia and shear deformation, differential equations governing free vibrations of such foundations are derived. The Winkler foundation is chosen as the model of soil foundation. The breadth of strip foundation is assumed to be a linear function. The differential equations are solved numerically to calculate natural frequencies. In numerical examples, the strip foundations with the hinged-hinged, hinged-clamped. clamped-hinged and clamped-clamped end constraints are considered. The parametric studies are conducted and the lowest four frequency parameters are reported in figures as the non-dimensional forms.

Nonlinear Stability Characteristics of Carbon Nanotubes (탄소나노튜브의 비선형 안정성 해석)

  • Choi, Jong-Woon;Song, Oh-Seop
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.19 no.7
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    • pp.699-709
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    • 2009
  • In this paper, the nonlinear dynamics and the stability of nanopipes conveying fluid and modelled as a thin-walled beam is investigated. Effects of boundary conditions, geometric nonlinearity, non-classical transverse shear and rotary inertia are incorporated in this study. The governing equations and the three different boundary conditions are derived through Hamilton's principle. Numerical analysis is performed by using extend Galerkin method which enables us to obtain more exact solutions compared with conventional Galerkin method. Variations of critical flow velocity for different boundary conditions of carbon nanopipes are investigated and compared with linear case.

Design and Characteristic Analysis of a Doubly-Fed 2-DOF Motor (2중여자 2자유도 모터의 설계 및 특성해석)

  • Lee, Jae-Sung;Kwon, Byung-Il
    • Proceedings of the KIEE Conference
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    • 2007.10c
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    • pp.65-67
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    • 2007
  • In this paper describes the design and characteristic analysis of a novel 2-DOF(Degree of Freedom) motor. For multi DOF actuating, several numbers of motors have been used. But the using of normal motors they connected each other in single joint, have necessary to a several type of complex power transmission devices. The 2-DOF motor can drive pan, tilt motion in only one unit and it is not necessary to use additional gears and links parts. Therefore by the using of 2-DOF spherical motor ran eliminate; combined effects of inertia, backlash, non-linear friction, and elastic deformation of gears. The validity of the analysis is confirmed by 3D finite element method.

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Time domain flutter analysis of the Great Belt East Bridge

  • Briseghella, Lamberto;Franchetti, Paolo;Secchi, Stefano
    • Wind and Structures
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    • v.5 no.6
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    • pp.479-492
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    • 2002
  • A finite element aerodynamic model that can be used to analyse flutter instability of long span bridges in the time domain is presented. This approach adopts a simplified quasi-steady formulation of the wind forces neglecting the vortex shedding effects. The governing equations used are effective only for reduced velocities $V^*$ sufficiently great: this is generally acceptable for long-span suspension bridges and, then, the dependence of the wind forces expressions of the flutter derivatives can be neglected. The procedure describes the mechanical response in an accurate way, taking into account the non-linear geometry effects (large displacements and large strains) and considering also the compressed locked coil strands instability. The time-dependence of the inertia force due to fluid structure interaction is not considered. The numerical examples are performed on the three-dimensional finite element model of the Great Belt East Bridge (DK). A mode frequency analysis is carried out to validate the model and the results show good agreement with the experimental measurements of the full bridge aeroelastic model in the wind tunnel tests. Significant parameters affecting bridge response are introduced and accurately investigated.

Dynamic Response of An Airship at Cruising

  • Yoshimasa, Ochi;Bang, Hyo-Choong
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.148.2-148
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    • 2001
  • The most important difference of an airship from conventional vehicle is that it has the apparent mass and inertia provided from the existence of Helium gas inside the airship. To acquire To acquire the exact response of the airship, the longitudinal responses of airship with respect to the vertical gust, which is the non-linear system, have been studied. An Airship has neutral buoyancy in equilibrium state. When it moves, its motion shows much difference comparing with conventional aircraft. Here, we compare two cases, the one has the apparent mass and the other hasn´t. With the apparent mass, the magnitude of the former response is smaller than the latter, while the frequency is higher. However, the apparent mass delay ...

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Micro-Vibration Test on a Two-Axis Gimbal Antenna System with Stepping Motors (스텝핑 모터 특성에 따른 2축 짐발 안테나 시스템의 미소진동 측정 시험)

  • Kim, Dae-Kwan;Choi, Hong-Taek;Park, Gee-Yong
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2012.04a
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    • pp.420-424
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    • 2012
  • A 2-axis gimbal system is one of main disturbance sources affecting on image jitter response of a satellite. The gimbal system can be rotated on its azimuth and elevation axes, resulting in variation of its moment of inertia and structural modes, so that generates non-linear vibration characteristics. In order to estimate the jitter response, it is an indispensable process to characterize micro-vibration disturbance of the 2-axis gimbal system. In the present research, the vibration characteristics of the 2-axis gimbal system was investigated with respect to the types of stepping motors. The micro-vibration tests were performed for 2-phase and 5-phase stepping motors. The test results show that the disturbance can be reduced with vibration attenuation ratio of 60% by replacing the 2-phase stepping motor with the 5-phase one.

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2-Inertia Motor Speed Control System with Non-linear Compensator (비선형 보상항을 갖는 2-관성 모터 속도 제어 시스템)

  • Lee, Duk;An, Young-Joo;Lee, Hyung-ki
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.1677-1678
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    • 2008
  • 본 논문은 회전기의 비틀림 현상을 억제하기 위하여 복소쌍입력 기술함수 기법을 이용한 제어시스템을 구성한다. 시스템의 주기적 출력은 복소 기술함수로 표현되며 제어기는 이러한 함수를 바탕으로 비선으로 설계된다. 제안한 알고리즘의 타당성 및 성능의 우수성을 검증하기 위하여 2관성 특성을 갖는 DC 전동기 시스템에 적용하여 실시간 실험을 통해 성능을 분석하였다. 시스템을 구동하기 위한 하드웨어 보드는 PSoC(Programmable System on Chip) 프로세서를 이용하여 임베디드 형태로 구성하였으며 실시간 데이터는 제안하는 제어알고리즘이 프로그램되어 있는 PC의 Matlab/Simulink 소프트웨어와 연동이 가능하게 구성하였다.

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Free Vibration Analysis of Horizontally Curved Beams with Variable Cross Sectional Width on Elastic Foundation (탄성지반 위에 놓인 단면폭이 변화하는 수평 곡선보의 자유진동 해석)

  • 이병구;박광규;오상진;이태은
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.10a
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    • pp.29-36
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    • 2003
  • This paper deals with the free vibration analysis of horizontally circular mea beams with variable cross sectional width on elastic foundations. Taking into account the effects of rotatory inertia and shear deformation differential equations governing the free vibrations of such beams are derived, in which the Whlkler foundation model is considered as the elastic foundation. The variable width of beam is chosen as the linear equation. The differential equations are solved numerically to calculate natural frequencies. In numerical examples, the curved beam with the hinged-hinged, hinged-clamped, clamped-hinged and damped-clamped end constraints are considered The parametric studies are conducted and the lowest four frequency parameters are reported in figures as the non-dimensional forms.

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A new analytical approach for determination of flexural, axial and torsional natural frequencies of beams

  • Mohammadnejad, Mehrdad
    • Structural Engineering and Mechanics
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    • v.55 no.3
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    • pp.655-674
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    • 2015
  • In this paper, a new and simplified method is presented in which the natural frequencies of the uniform and non-uniform beams are calculated through simple mathematical relationships. The various vibration problems such as: Rayleigh beam under variable axial force, axial vibration of a bar with and without end discrete spring, torsional vibration of a bar with an attached mass moment of inertia, flexural vibration of the beam with laterally distributed elastic springs and also flexural vibration of the beam with effects of viscose damping are investigated. The governing differential equations are first obtained and then; according to a harmonic vibration, are converted into single variable equations in terms of location. Through repetitive integrations, the governing equations are converted into weak form integral equations. The mode shape functions of the vibration are approximated using a power series. Substitution of the power series into the integral equations results in a system of linear algebraic equations. The natural frequencies are determined by calculation of a non-trivial solution for system of equations. The efficiency and convergence rate of the current approach are investigated through comparison of the numerical results obtained with those obtained from other published references and results of available finite element software.