• 한국농공학회지
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• 제28권1호
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• pp.68-74
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• 1986

The governing differential equations and the boundary conditions for the free vibra- tion of the unsymmetric parabolic arch with fixed ends are derived on the basis of the equilibrium equations and the D'Alembert principle. The effect of the rotary inertia as well as the extensional and the flexural deformations is considered in the governing differential equations. A trial eigenvalue method is used for determining the natural frequencies. The Ru- uge-Kutta method is used in this method to perform the integration of the differential equations. The detailed studies are made of the lowest three vibration frequencies for the par- abolic chord length equal to 10m. The effect of the rotary inertia is analyzed and it's numerical data are presented in table. And as the numerical results the frequency versus the rise of arch and the radius of gyration are presented in figures.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2002년도 가을 학술발표회 논문집
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• pp.11-16
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• 2002

The differential equations governing free vibrations of the elastic, horizontally curved beams with unsymmetric axis are derived in Cartesian coordinates rather than in polar coordinates, in which the effect of torsional inertia is included. Frequencies are computed numerically for the sinusoidal curved beams with both clamped ends and both hinged ends. Comparisons of natural frequencies between this study and SAP 2000 are made to validate theories and numerical methods developed herein. The convergent efficiency is highly improved under the newly derived differential equations in Cartesian coordinates. The lowest four natural frequency parameters are reported, with and without torsional inertia, as functions of three non-dimensional system parameters: the horizontal rise to chord length ratio, the span length to chord length ratio, and the slenderness ratio.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2007년도 정기 학술대회 논문집
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• pp.105-110
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• 2007

The differential equations governing free, in-plane vibrations of circular curved beams with elastic springs at beth ends, including the effects of axial deformation, rotatory inertia and shear defamation. are solved numerically using the corresponding boundary conditions. The lowest three natural frequencies are calculated over a wide range of non-dimensional system parameters, the radial, tangential and rotational spring parameters, the subtended angle, the slenderness ratio and the shear parameter.

• 대한조선학회논문집
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• 제56권5호
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• pp.418-426
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• 2019

To derive a simplified analytic solution which can be utilized as a fundamental solution for the wave maker design, a segment of the wave board has been idealized as a submerged line segment in a two dimensional domain of a wave flume. The lower end of the line segment could be located at arbitrary depth of the wave flume and the upper end of the board could be also submerged to any depth from the free surface. The freely oscillating motion of the wave board is assumed to be defined by determining the condition of horizontal oscillation on both ends differently. The submerged wave board oscillating in horizontal direction could be specified by selecting the amplitude, frequency and the phase lag differently on lower and upper ends of the board. The simplified two dimensional wave generated by the wave board segment has been obtained by the first order perturbation method. It is found that the general solution of the freely oscillating wave board in two dimensional domain could be decomposed into the solution of flap motion with lower end hinge and swing motion with upper end hinge. The case study of the analytic solutions has been carried out to evaluate the effect on the wave height due to the difference of oscillation frequency, phase difference and variation of stroke between for the motion of both ends. It is found that the solution of the freely oscillating wave board could be utilized for the development of high performance wavemaker especially for irregular waves.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2004년도 춘계학술대회논문집
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• pp.252-257
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• 2004

Free vibration of a semi-circular pipe conveying fluid is analyzed when the pipe is clamped at both ends. To consider the geometric non-linearity, this study adopts the Lagrange strain theory and the extensibility of the pipe. By using the extended Hamilton principle, the non-linear partial differential equations are derived, which are coupled to the in-plane and out-of\ulcornerplant: motions. To investigate the vibration characteristics of the system, the discretized equations of motion are derived from the Galerkin method. The natural frequencies are computed from the linearized equations of motion in the neighborhood of the equilibrium position. From the results. the natural frequencies for the in-plane and out-of-plane motions are vary with the flow velocity. However, no instability occurs the semi-circular pipe with both ends clamped, when taking into account the geometric non-linearity explained by the Lagrange strain theory.

• 화약ㆍ발파
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• 제24권1호
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• pp.9-19
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• 2006

본 연구는 일단고정-일단자유 단부 경계조건을 가진 콘크리트 매설관의 동적응답을 연구하고, 내진성능 평가 시 실용적이고 실무적용성이 높은 곡선 적합식의 개발을 목적으로 한다. 매설관의 동적응답을 연구하기 위해 기존 연구에서 개발된 수치해석 프로그램을 사용하여 일단고정-일단자유 단부 경계조건에 대한 최대변형 률 발생지점을 산정한 후, 산정된 지점에 대하여 5-1000(m) 의 파장${\lambda}$과 100-2000(m/see)의 전파속도 $(V_s)$를 적용하여 파장${\lambda}$의 변화와 전파속도 $(V_s)$의 변화에 따른 단위 (휨) 변형률 곡선식을 산출하였다. 적합성이 높은 곡선 적합식을 개발하기 위해 비선형 최소자승법을 이용하여 다양한 형태의 지수방정식을 검정한 후, 가장 좋은 결과를 나타내는 곡선 적합식과 필요한 계수 값을 제시하였다.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2002년도 추계학술대회논문집
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• pp.971-976
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• 2002

The differential equations governing free vibrations of the elastic arches with unsymmetric axis are derived in rectangular coordinates rather than in polar coordinates, in which the effect of rotatory inertia is included. Frequencies and mode shapes are computed numerically for parabolic arches with both clamped ends and both hinged ends. Comparisons of natural frequencies between this study and SAP 2000 are made to validate theories and numerical methods developed herein. The convergent efficiency is highly improved under the newly derived differential equations in Rectangular coordinates. The lowest four natural frequency parameters are reported, with and without the rotatory inertia, as functions of three non-dimensional system parameters: the rise to chord length ratio, the span length to chord length ratio, and the slenderness ratio. Also typical mode shapes of vibrating arches are presented.

• 대한토목학회논문집
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• 제31권3A호
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• pp.181-187
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• 2011

이 연구는 양단이 탄성받침으로 지지된 Timoshenko 보의 자유진동에 관한 연구이다. 회전관성과 전단변형을 동시에 고려하는 Timoshenko 보 이론을 적용하여 탄성받침 보의 자유진동을 지배하는 상미분방정식과 자유단의 경계조건을 유도하였다. 이 상미분방정식을 수치해석하여 고유진동수와 진동형상을 산출하였다. 회전관성과 전단변형이 자유진동에 미치는 영향을 분석하고, 변수연구를 통하여 세장비, 지반계수, 탄성받침 길이 등이 자유진동에 미치는 영향을 그림에 나타내었다. 변위 및 휨 모멘트, 전단력의 진동형상을 그림에 나타내어 최대진폭 및 무변위의 위치를 알 수 있도록 하였다.

• Wind and Structures
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• 제13권1호
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• pp.83-94
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• 2010

Wind tunnel measurements on T-shaped free-standing walls and inclined free-standing walls have been carried out. Mean net pressure coefficients have been derived and compared with previous research. It was observed that the high loads at the free ends are differently distributed than those derived from the pressure coefficients for free-standing walls in EN 1991-1-4. In addition net pressure coefficients based on extreme value analysis have been obtained. The lack of correlation of the wind induced pressures at windward and leeward side result in lower values for the net pressure coefficients when based on extreme value analysis. The results of this wind tunnel study have been included in Dutch guidelines for noise barriers.

• 대한기계학회논문집
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• 제1권3호
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• pp.146-155
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• 1977

The free convection in a vertical tube open at both ends and heated at the heated at the wall is studied by analytical approach and checked by experiment. The flow is assumed to be both stable and laminar. The incompressible boundary layer equations fot the system were solved by a finite difference method for conditions of constant wall temperature and conctant wall heat flux. Temperature profiles of the flow in the tube were measured by thermocouples and are compared with the calculated profiles. Agreement of the analytical and experimental results was good.