• 제목/요약/키워드: Euler' Characteristics

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Numerical Investigation of Mother Plane Interference Effect on the Supersonic Air-launched Rocket (초음속 공중발사 로켓의 모선 간섭현상 수치적 연구)

  • Kim, Young-Shin;Lee, Jae-Woo;Byun, Yung-Hwan;Park, Jun-Sang
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.4
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    • pp.17-26
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    • 2005
  • Numerical investigation has been made on the aerodynamic characteristics of supersonic air-launching rocket, as a new concept launching mechanism. Parametric study on the variations of launching velocity, incident angle and mounting location of the rocket has been performed using three dimensional Euler equations. Influential factors at separating stage of the rocket were extracted through comprehensive analyses, and, the response surface models were constructed for those factors. From the study, the aerodynamic behavior of the air-launching rocket at supersonic speed and useful guidelines for the optimal mounting location of the rocket have been obtained.

A Study on Spatial Distributions of Courant Number and Numerical Efficiency of LTS Method in Calculation of Ship Resistance Using Structured and Unstructured Meshes (정렬 및 비정렬 격자를 이용한 선박 저항 계산에서 Courant 수의 공간 분포 및 LTS 기법의 효율성에 관한 연구)

  • Lee, Sang Bong;Paik, Kwang-Jun;Park, Dong Woo
    • Journal of the Society of Naval Architects of Korea
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    • v.54 no.2
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    • pp.83-89
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    • 2017
  • Numerical simulations of ship resistance have been performed to compare spatial characteristics of Courant number when using structured and unstructured meshes. When Euler scheme was used for time integration, the structured mesh provided a more efficient calculation because the calculation time interval was larger than that of unstructured mesh. The automatic generation of very small meshes in the unstructured mesh was mainly responsible for the limitation of calculation time interval. When local time stepping Euler scheme was applied, however, the ship resistance of unstructured mesh showed a rapid convergence while a slow convergence of ship resistance in structured mesh was caused by the small time interval in bulbous bow.

Dynamic characteristics of viscoelastic nanobeams including cutouts

  • Rabab A. Shanab;Norhan A. Mohamed;Mohamed A. Eltaher;Alaa A. Abdelrahman
    • Advances in nano research
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    • v.14 no.1
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    • pp.45-65
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    • 2023
  • This paper aimed to investigate the nonclassical size dependent free vibration behavior of regularly squared cutout viscoelastic nanobeams. The nonlocal strain gradient elasticity theory is modified and adopted to incorporate the viscoelasticity effect. The Kelvin Voigt viscoelastic model is adopted to model the linear viscoelastic constitutive response. To explore the influence of shear deformation effect due to cutout, both Euler Bernoulli and Timoshenko beams theories are considered. The Hamilton principle is utilized to derive the dynamic equations of motion incorporating viscoelasticity and size dependent effects. Closed form solutions for the resonant frequencies for both perforated Euler Bernoulli nanobeams (PEBNB) and perforated Timoshenko nanobeams (PTNB) are derived considering different boundary conditions. The developed procedure is verified by comparing the obtained results with the available results in the literature. Parametric studies are conducted to show the influence of the material damping, the perforation, the material and the geometrical parameters as well as the boundary and loading conditions on the dynamic behavior of viscoelastic perforated nanobeams. The proposed procedure and the obtained results are supportive in the analysis and design of perforated viscoelastic NEMS structures.

Dynamic Response Analysis of Stiffened Plates Subjected Plates Subjected to Moving Loads (이동하중을 받는 보강판의 동응답해석)

  • 정정훈;정태영
    • Journal of KSNVE
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    • v.3 no.1
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    • pp.57-63
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    • 1993
  • The dynamic response of stiffened rectangular plate subjected to a concentrated force or mass moving at constant speed is analyzed by using finite- element method. Stiffened plates are modelled as an assembly of isotropic thin plate elements and equivalent Euler beam ones, in which the beam elements represent the stiffener effects concentrated at the attached lines of stiffeners to the plates. The Newmark's time integration method is used to obtain the dynamic response of stiffened plates. Numerical examples are given to verify the validity of the presented method and also to investigate the effects of speed and moving mass on the dynamic characteristics of stiffened plates.

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Dynamic Analysis of Micro Cantilever Beams Undertaking Electrostatic Forces (정전기력을 받는 마이크로 외팔보의 동적 해석)

  • 정강식;문승재;유홍희
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.315-319
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    • 2004
  • Static and dynamic responses of micro cantilever beam structures undertaking electrostatic forces are obtained employing Galerkin's method based on Euler beam theory. Variations of static and dynamic responses as well as resonant frequencies are estimated for several sets of beam properties and applied voltages. It is shown that the applied voltage influences the deflection and the modal characteristics significantly. Such information can be usefully employed for the design of MEMS structures.

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Forced Vibration of Elastically Restrained Valve-pipe System (탄성지지된 밸브 배관계의 강제진동 특성)

  • Son, In-Soo;Hur, Kwan-Do
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2011.04a
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    • pp.679-680
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    • 2011
  • The Forced vibration characteristics of elastically restrained pipe conveying fluid with the attached mass are investigated in this paper. Based on the Euler-Bernoulli beam theory, the equation of motion is derived by using Hamilton's principle. The effect of attached mass and spring constant on forced vibration of pipe system is studied. Also, the critical flow velocities and stability maps of the valve-pipe system are obtained as each parameters.

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Free Vibration Characteristics of Partially Embedded Piles (부분근입된 말뚝의 자유진동 특성)

  • 신성철;진태기;오상진;박광규
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.435-440
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    • 2002
  • The free vibration of partially embedded piles is investigated. The pile model is based on the Bernoulli-Euler beam theory and the soil is idealized as a Winkler model for mathematical simplicity. The governing differential equation for the free vibrations of such members is solved numerically The piles with one typical end constraint (clamped/hinged/free) and the other hinged end with rotational spring are applied in numerical examples. The lowest three natural frequencies are calculated over a range of non-dimensional system parameters: the rotational spring parameter, the relative stiffness and the embedded ratio.

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Lower Bounds on Boundary Slope Diameters for Montesinos Knots

  • Ichihara, Kazuhiro;Mizushima, Shigeru
    • Kyungpook Mathematical Journal
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    • v.49 no.2
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    • pp.321-348
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    • 2009
  • In this paper, we give two lower bounds on the diameter of the boundary slope set of a Montesinos knot. One is described in terms of the minimal crossing numbers of the knots, and the other is related to the Euler characteristics of essential surfaces with the maximal/minimal boundary slopes.

Vibration Damping Analysis of Multi-Layered Viscoelastic Material (다층 점탄성재료의 진동감쇠 특성에 관한 연구)

  • 윤영식;황동환;이상조
    • Journal of KSNVE
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    • v.4 no.4
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    • pp.487-496
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    • 1994
  • Recently, the application of viscoelastic material in the field of vibration isolation has gradually increased due to its achievement in structural damping capacity, and many of the theoretical and experimental study has been carried out. In this study, the dynamic characteristics of the visoelastically supported cantilever beam, of which govering equation is based on the Bernoulli- Euler equation, is analyzed theoretically and experimentally. Expression for stiffness of multi-layered viscoelastic materal has been developed using variables such as frequency and number of layers, and further, based on this expression, damping characteristic of the beam is investigated with experimental verification.

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Numerical Studies on the Deceleration Characteristics of Supersonic Projectile According to the Test Condition Parameters in a Soft Recovery System (저감속 회수장비 시험조건에 따른 초음속 시험탄 감속특성에 대한 수치해석적 연구)

  • Song, Minsup;Kim, Jaehoon
    • Journal of the Korea Institute of Military Science and Technology
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    • v.23 no.5
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    • pp.485-493
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    • 2020
  • Numerical analyses were performed using a one-dimensional Euler equation and Godunov Harten-Lax-Van Leer(HLL) Riemann solver in order to study the deceleration characteristics of a 155 mm projectile in a soft recovery system. The soft recovery system consisting of a series of pressure tubes is a system that decelerates the test projectile fired at supersonic speed using a high-pressure gas and filled water inside. Therefore, depending on the gas pressure and the amount of water filling, the deceleration and the exit velocity of the test projectile inside the pressure tube are determined. In this paper, the deceleration characteristics of the test projectile were analyzed according to the gas pressure and water mass filled.