• Title/Summary/Keyword: Mass Moment of Inertia

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Optimal Design of Magnetically Levitated Flywheel Energy Storage System Based on System Stability Using Rigid-Body Model (강체모델 기반 시스템 안정성을 고려한 자기부상 플라이휠 에너지 저장장치의 최적 설계)

  • Kim, Jung-Wan;Yoo, Seong-Yeol;Bae, Yong-Chae;Noh, Myoung-Gyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.3
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    • pp.283-289
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    • 2010
  • Owing to the increasing worldwide interest in green technology and renewable energy sources, flywheel energy storage systems (FESSs) are gaining importance as a viable alternative to traditional battery systems. Since the energy storage capacity of an FESS is proportional to the principal mass-moment of inertia and the square of the running speed, a design that maximizes the principal inertia while operatingrunning at the highest possible speed is important. However, the requirements for the stability of the system may impose a constraint on the optimal design. In this paper, an optimal design of an FESS that not only maximizes the energy capacity but also satisfies the requirements for system stability and reduces the sensitivity to external disturbances is proposed. Cross feedback control in combination with a conventional proportional-derivative (PD) controller is essential to reduce the effect of gyroscopic coupling and to increase the stored energy and the specific energy density.

Sideways Overturning Analysis of Forwarder Using a Multibody Dynamics Analysis Program (다물체 동력학 해석 프로그램을 이용한 포워더의 횡전도 분석)

  • 박현기;김경욱;김재원;송태영;박문섭;조구현
    • Journal of Biosystems Engineering
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    • v.27 no.3
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    • pp.185-194
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    • 2002
  • The objective of this study was to analyze a stability of sideways overturning of a forwarder developed by the Forestry Research Institute. The stability analysis was conducted using a multibody dynamic analysis program. VisualNastran Desktop. A solid model of the forwarder was constructed and its physical properties such as mass, mass center and mass moment of inertia were determined on 3D CAD modeler of the Solid Edge 8.0. 3D simulations of sideways overturning of the forwarder were also performed on the Visual Nastran using the solid model when it traveled across the slope and traversed over an up-hill side obstacle. Stability comparison between a bogie-wheeled and a 6-wheeled forwarders was also made and found that the bogie-wheeled forwarder was more stable than the 6-wheeled one on slopes. The safety speeds of the forwarder predicted by the simulation under various conditions can be used as a guideline for safe operations of forwarders in mountainous area. The technique of using a solid model for the sability analysis can also be applied successfully to other vehicles like agricultural tractors, loaders and construction equipments.

Rotordynamic design of a fuel pump and turbine for a 75 ton liquid rocket engine (75톤급 액체로켓 엔진용 연료펌프/터빈 회전체 동역학 설계)

  • Jeon, Seong-Min;Kwak, Hyun-Duck;Yoon, Suk-Hwan;Kim, Jin-Han
    • Aerospace Engineering and Technology
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    • v.6 no.1
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    • pp.201-208
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    • 2007
  • A fuel pump and turbine rotordynamic design is performed for a 75 ton thrust liquid rocket engine. A distance from the rear bearing to the turbine was considered as a design parameter for load distribution of the bearings. Asynchronous eigenvalue analysis was performed as a function of rotating speeds, turbine mass and bearing stiffness to investigate critical speed of the fuel pump and turbine. From the numerical analysis, it is found that the effect of the front bearing stiffness is negligible in the critical speed due to the large mass moment of inertia of the turbine. With the rear bearing stiffness over $2{\times}10^{8}N/m$ and the turbine mass below 20 kg, the critical speed of the fuel pump and turbine in long shaft case is at least 70 % higher than the operating speed 11,000 rpm.

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Geomechanical analysis of elastic parameters of the solid core of the Earth

  • Guliyev, Hatam H.
    • Geomechanics and Engineering
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    • v.14 no.1
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    • pp.19-27
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    • 2018
  • It follows from the basic principles of mechanics of deformable solids relating to the strength, stability and propagation of elastic waves that the Earth's inner core cannot exist in the form of a spherical structure in the assumed thermobaric conditions and calculation values of physico-mechanical parameters. Pressure level reaches a value that is significantly greater than the theoretical limit of medium strength in the model approximations at the surface of the sphere of the inner core. On the other hand, equilibrium state of the sphere is unstable on the geometric forming at much lower loads under the influence of the "dead" surface loads. In case of the action of "follower" loads, the assumed pressure value on the surface of the sphere is comparable with the value of the critical load of "internal" instability. In these cases, due to the instability of the equilibrium state, propagation of homogeneous deformations becomes uneven in the sphere. Moreover, the elastic waves with actual velocity cannot propagate in such conditions in solid medium. Violation of these fundamental conditions of mechanics required in determining the physical and mechanical properties of the medium should be taken into account in the integrated interpretations of seismic and laboratory (experimental) data. In this case, application of the linear theory of elasticity and elastic waves does not ensure the reliability of results on the structure and composition of the Earth's core despite compliance with the required integral conditions on the mass, moment of inertia and natural oscillations of the Earth.

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.

2-dimensional Hydrodynamic Forces of Heaving, Swaying and Rolling Cylinders on a Free Surface of a Water of Finite Depth

  • Rhee, K.P.
    • Bulletin of the Society of Naval Architects of Korea
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    • v.14 no.3
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    • pp.13-22
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    • 1977
  • The hydrodynamic forces acting on a forced oscillating 2-dimensional cylinder on a free surface of a fluid of a finite depth are calculated by distributing singularities on the immersed body surface. And the Haskind-Newman relation in a fluid of a finite depth is derived. The wave exciting force of the cylinder to an oscillation is also calculated by using the above relation. The method is applied to a circular cylinder swaying in a water of finite depth, and then, to a rectangular cylinder heaving, swaying, and rolling. The results of above cases give a good agreement with those by earlier investigators such as Bai, Keil, and Yeung. Also, this method is applied to a Lewis form cylinder with a half beam-to-draft ratio of 1.0 and a sectional area coefficient of 0.941, and to a bulbous section cylinder which is hard to represent by a mapping function. The results reveal that the hydrodynamic forces in heave increase as the depth of a water decrease, but in sway or roll, the tendency of the hydrodynamic forces is difficult to say in a few words. The exciting force to heave for a bulbous section cylinder becomes zero at two frequencies. The added mass moment of inertia for roll is seemed to mainly depend on the sectional shape than the water depth.

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A study on the characteristics of torsional vibration for 4*4 vehicles drivetrain (4륜구동 차량구동계의 비틀림진동 특성에 관한 연구)

  • Choi, Eun-O;Kim, Hei-Song;Hong, Dong-Pyo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.11
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    • pp.1957-1964
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    • 1997
  • Torsional vibration is to vibrate strongly when the ignition pulses of the engine is excited with natural frequency of driveline. Torsional vibration like this can cause various noises as rattle and booming. For this study multi-degree of freedom analysis model of torsional vibration, which is combined with mass moment of inertia and torsional spring, was developed toward two wheel drive, four wheel drive and torsional vibration characteristics were compared and analyzed through the natural frequences, mode shapes and frequency response characteristics which was acquired by the simulation of it. The pertinence of that model was proved by the field test and the outcome of the simulations coincided with feeling test. Therefore, four wheel drive simulation model is considered to be useful thing for reducing torsional vibration of driveline and developing full-time four wheel drive vehicles.

The Prediction of the Dynamic Transmission Error for the Helical Gear System (헬리컬 기어계의 동적 전달오차의 예측)

  • Park, Chan-Il;Cho, Do-Hyun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.9
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    • pp.1359-1367
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    • 2004
  • The purpose of this study is to predict the dynamic transmission error of the helical gear system. To do so, the equations of motion in the helical gear system which consists of motor, coupling, gear, torque sensor, and brake are derived. As the input parameters, the mass moment of inertia by a 3D CAD software and the equivalent stiffness of the bearings and shaft are calculated and the coupling stiffness is measured. The static transmission error as an excitation is calculated by in-house program. Dynamic transmission error is predicted by solving the equations of motion. Mode shape, the dynamic mesh force and the bearing force are also calculated. In this analysis, the relationship between the dynamic mesh force and the bearing force and mode shape behavior in gear mesh are checked. As a result, the magnitude of mesh force is highly related with the gear mesh behavior in mode shape. The finite element analysis is conducted to find out the natural frequency of gear system. The natural frequencies by finite element analysis have a good agreement with the results by equation of motion. Finally, dynamic transmission error is measured by the specially designed experiment and the results by equation of motion are validated.

Dynamic modeling of rubber elements in an engine mount system (엔진 마운트용 고무의 동역학적 모델링)

  • 박석태;정경렬;이종원;김광준
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.5
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    • pp.689-697
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    • 1986
  • In the present work a three degree of freedom modeling of a cylindrical rubber element is studied and its applications to an engine mount system are discussed using a simple test structure. The three degree of freedom model for the rubber mount is composed of three mutually orthogonal springs and dampers jointed at the elastic center of the mount. The test structure is designed and manufactured so simple that its mass center and moment of inertia are accurately and easily obtained. The dynamic properties of each rubber mount, i.e., complex stiffnesses, are experimentally identified using hydraulic exciter and used to predict the modal parameters of the test structure mount system by analytical modal analysis. The predicted modal parameters of the system agree well with those estimated by experimental modal analysis. Hence the three DOF model of the rubber mount is proposed for the practical design of an engine mount system.

Stabilization Control of line of sight of OTM(On-The-Move) Antenna (OTM 단말기 안테나 시선 안정화 제어)

  • Kang, Min-Sig;Cho, Yong-Wan
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.11
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    • pp.2073-2082
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    • 2010
  • The 4-th generation of mobile communication aims to realize global, fast and mobile communication service. The satellite communication charges a key role in this field. In this study, an OTM(On-The-Move) antenna which is mounted on ground vehicles and is used for mobile communication between vehicle and satellite was addressed. Since vehicles move during communication, active antenna line-of-sight stabilization is a core technology to guarantee high satellite communication quality. Stabilization of a satellite tracking antenna which consists of 2-DOF gimbals, an elevation gimbal over an azimuth gimbal, was considered in this study. Various disturbance torques such as static and dynamic mass imbalance torques, variation of moment of inertia according to elevation angle, friction torque related to vehicle motion, equivalent disturbance torque due to antenna roll motion, etc. were analyzed. As a robust stabilization control, rate feedback with sliding mode control and position feedback with proportional+integral control was suggested. To compensate antenna roll motion, a supplementary roll rate feed forward control was included beside of the feedback control loop. The feasibility of the analysis and the proposed control design were verified along with some simulation results.