• Title/Summary/Keyword: Free moment

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Free Vibrations of Clamped Circular Arches with Linear Variable Cross-Section (1차원 변화단면을 갖는 양단고정 원호아치의 자유진동 해석)

  • Lee, Byoung Koo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.9 no.4
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    • pp.1-8
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    • 1989
  • The main purpose of the present paper is to present both the fundamental frequency and some higher free vibration frequencies for circular arches with variable section, in which rotatory inertia is included. The differential equations are derived for the in-plan free vibration of elastic circular arches with variable section. These equations were solved numerically for the linear variable circular cross-section with clamped-clamped end constraint. As the numerical results, the four lowest nondimensional natural frequencies presented as functions of the nondimensional system parameters : the end moment of inertia to crown moment of inertia ratio, the slenderness ratio, and the opening angle. The effect of rotatory inertia on the nondimensional natural frequency is also reported.

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Infrared Spectroscopy of Imidazole Trimer in Helium Nanodroplets: Free NH Stretch Mode

  • Lee, Seul-Ki;Lee, Seung-Jun;Ahn, Ah-Reum;Kim, Yu-Sic;Min, Ah-Reum;Choi, Myong-Yong;Miller, Roger E.
    • Bulletin of the Korean Chemical Society
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    • v.32 no.3
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    • pp.885-888
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    • 2011
  • We report the first vibrational band assignment of imidazole trimer (IMT) solvated in helium nanodroplets. Several congested vibrational bands of imidazole (IM) clusters were obtained in the frequency region of $3513-3515\;cm^{-1}$ and vibrationally resolved due to the extremely low temperature (0.37 K) and very weak solutesolvent interaction environments of helium droplets. The unambiguous free NH band assignment was achieved with an aid of pick-up oven temperature dependence and vibrational transition moment angle (VTMA) experiments as well as density functional theory (DFT) calculations. The band at $3514.3\;cm^{-1}$ is attributed to the free NH stretching mode of linear IMT clusters, easily formed by the dipole-dipole interactions of IM in ultracold helium nanodroplets.

Investigating the effect of edge crack on the modal properties of composite wing using dynamic stiffness matrix

  • Torabi, Ali Reza;Shams, Shahrokh;Fatehi-Narab, Mahdi
    • Steel and Composite Structures
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    • v.39 no.5
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    • pp.543-564
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    • 2021
  • In this study free vibration analysis of a cracked Goland composite wing is investigated. The wing is modelled as a cantilevered beam based on Euler- Bernoulli equations. Also, composite material is modelled based on lamina fiber-reinforced. Edge crack is modelled by additional boundary conditions and local flexibility matrix in crack location, Castigliano's theorem and energy release rate formulation. Governing differential equations are extracted by Hamilton's principle. Using the separation of variables method, general solution in the normalized form for bending and torsion deflection is achieved then expressions for the cross-sectional rotation, the bending moment, the shear force and the torsional moment for the cantilevered beam are obtained. The cracked beam is modelled by separation of beam into two interconnected intact beams. Free vibration analysis of the beam is performed by applying boundary conditions at the fixed end, the free end, continuity conditions in the crack location of the beam and dynamic stiffness matrix determinant. Also, the effects of various parameters such as length and location of crack and fiber angle on natural frequencies and mode shapes are studied. Modal analysis results illustrate that natural frequencies and mode shapes are affected by depth and location of edge crack and coupling parameter.

Comprehensive evaluating the stability of slope reinforced with free and fixed head piles

  • Xixi Xiong;Ying Fan;Jinzhe Wang;Pooya Heydari
    • Geomechanics and Engineering
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    • v.32 no.5
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    • pp.523-540
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    • 2023
  • The failure of slope can cause remarkable damage to either human life or infrastructures. Stabilizing piles are widely utilized to reinforce slope as a slip-resistance structure. The workability of pile-stabilized slopes is affected by various parameters. In this study, the performance of earth slope reinforced with piles and the behavior of piles under static load, by shear reduction strength method using the finite difference software (FLAC3D) has been investigated. Parametric studies were conducted to investigate the role of pile length (L), different pile distances from each other (S/D), pile head conditions (free and fixed head condition), the effect of sand density (loose, medium, and high-density soil) on the pile behavior, and the performance of pile-stabilized slopes. The performance of the stabilized slopes was analyzed by evaluating the factor of safety, lateral displacement and bending moment of piles, and critical slip mechanism. The results depict that as L increased and S/D reduced, the performance of slopes stabilized with pile gets better by raising the soil density. The greater the amount of bending moment at the shallow depths of the pile in the fixed pile head indicates the effect of the inertial force due to the structure on the pile performance.

Development of Ship Dynamics Model by Free-Running Model Tests and Regression (자유항주모형시험과 회귀분석을 통한 선체 동역학 모델의 개발)

  • Kim, Kiwon;Kim, Hoyong;Choi, Sungeun;Na, Ki-In;Lee, Hyuk;Seo, Jeonghwa
    • Journal of the Society of Naval Architects of Korea
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    • v.59 no.3
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    • pp.173-182
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    • 2022
  • The present study suggests a procedure of establishing a ship dynamics modeling by regression of free-running model test results. The hydrodynamic force and moment of the whole model ship is derived from the low-pass filtered acceleration in the turning circle and zigzag maneuver tests. Force and moment of the propeller and rudder are separated from that of the whole ship to acquire the hull force and moment terms, based on the principles of the component model. The low-pass filter frequency is verified in prior to dynamics modeling, to find the threshold frequency of 2.5 Hz. The dynamics modeling of the hull is compared with the component modeling by captive model tests. Because of strong correlation between sway velocity, yaw angular velocity, and heel angle, each maneuvering coefficient is not able to be validated, but the whole modeling shows good agreement with the captive model tests.

Experimental Evaluation of FREE NODE with Axial Load and Moment for Single Layer Free-Form Structures (축력과 모멘트를 동시에 받는 FREE NODE의 실험적 평가)

  • Oh, Jin-Tak;Chung, Kwang-Ryang;Kim, Do-Hyun
    • Journal of Korean Association for Spatial Structures
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    • v.14 no.1
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    • pp.51-59
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    • 2014
  • Single layer free-form structures are being highlighted in the field of architecture due to its attractive shape. In these structures, node connecting system is very important because the node must resist bending and axial stress simultaneously. So the local and global stabilities of entire structure can be determined by the stiffness of node system. In this study, therefore, various types of bending test with axial force were performed. As a result, bending capacity with axial force of a new spherical node for free-form structure could be performed and structural capacities were checked to use in real structure.

The Steady Drift Force and Moment on a Floating Body in Water of Finite Depth (유한수심에 놓인 부유체에 작용하는 시간평균 표류력 및 표류 모우먼트)

  • Hang-S.,Choi
    • Bulletin of the Society of Naval Architects of Korea
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    • v.24 no.1
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    • pp.9-16
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    • 1987
  • The second-order steady horizontal force and vertical moment are derived for a freely-floating body in water of finite depth. Momentum relations are used in terms of the Kochin function in the fluid region far from the body. The general results look very similar to those for deep water. The water depth is formally reflected in terms of the ratio between the phase and group velocities of incident waves. Computations are made for a Series 60 hull($C_B=0.6$) and are compared with the corresponding results of deep water. It is shown that the vertical drift moment for slender ships becomes completely free from water depth when the wave-ship length ratio is taken as parameter.

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A Study on the Stability of a Low Freeboard Coastwise Tanker Capsized in Turning (2) - Experimental Examination of the Outward Heel Moment Induced by Flooding of Seawater onto the Deck - (선회중 전복한 저건현 내항 탱커의 복원성에 관한 연구 (2) - 갑판상 해수 침입이 경사 모멘트에 미치는 영향에 대한 실험적 조사 -)

  • 김철승;공길영;김순갑
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2002.03a
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    • pp.145-153
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    • 2002
  • A coastwise chemical tanker sailing at full speed has capsized in calm water and whole turing. In the precious paper, we investigated reasons of the accident by demonstrating the proper correction for the free surface effect of the liquid cargo and the bow-sinkage effect. In this paper, we also carry out model experiments of a transverse pressure under the seawater and an outward heel moment according to the heel angle and rudder angle, on the basis of radius of turning circle, ship's speed and drift angle of model ship occurring in turning. It is also shown that the flooding of seawater onto the deck occurring in turning generated a significant outward heel moment and the vertical distance between the center of gravity of the ship and the renter of lateral water drag.

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Crank Angles Design to Reduce the Excitation Forces in 4-stroke Diesel Engine (4행정 기관의 기진력 감소를 위한 크랭크 각 설계)

  • 서영수;박정근;정의봉
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2000.11a
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    • pp.108-114
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    • 2000
  • The excitation forces from the periodical firing pressure in cylinder and the rotating crank mechanism cause lots of vibration problems in diesel engine. In this paper, the theoretical formulas for excitation forces are introduced and computational program for the optimization of crank angle is also developed to reduce the free moments in diesel engine. The computational results of 4-stroke in-line engine are applied to verify the reliability of the program.

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Computation of Circuit Parameters of Multiconductor Transmission Lines with Arbitrary Cross Section (임의 단말을 가진 전송선의 회로정수 산출)

  • 김종민;김종해;하상욱;라극환
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.12
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    • pp.1918-1925
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    • 1989
  • A method for computing the capacitance and inductance matrix for 2-D multiconductor transmission lines with arbitrary cross section in dielectric medium is presented. The integral equation is obtained by using a free space Green function in conjunction with free and bound charges existing on boundary surfaces. The numerical analysis is based on the moment method using point matching and Galerkin method. And kthe scheme to reduce memory and computation time is presented for symmetric structure.

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