• Structural Engineering and Mechanics
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• 제39권4호
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• pp.449-463
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• 2011

A free vibration analysis is made of a moderately-thick toroidal shell based on a shear deformation (Timoshenko-Mindlin) shell theory. This work represents an extension of earlier work by the authors which was based on a thin (Kirchoff-Love) shell theory. The analysis uses a modal approach in the circumferential direction, and numerical results are found using the differential quadrature method (DQM). The analysis is first developed for a shell of revolution of arbitrary meridian, and then specialized to a complete circular toroidal shell. A second analysis, based on the three-dimensional theory of elasticity, is presented to cover thick shells. The shear deformation theory is validated by comparing calculated results with previously published results for fifteen cases, found using thin shell theory, moderately-thick shell theory, and the theory of elasticity. Consistent agreement is observed in the comparison of different results. New frequency results are then given for moderately-thick and thick toroidal shells, considered to be completely free. The results indicate the usefulness of the shear deformation theory in determining natural frequencies for toroidal shells.

• Smart Structures and Systems
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• 제14권2호
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• pp.71-83
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• 2014

The purpose of this paper is to investigate the flexible structure of parabolic shell using photostrictive actuators. The analysis is made to know its dynamic behavior and light-induced control forces for coupled parabolic shell. The effects of an actuator location as well as membrane and bending components under the control action have been analyzed considering the approximate spherical model. The parabolic membrane shell accuracy is being mathematically approximated and validated comparing the light induced control forces using approximate equivalent spherical shell model. The parabolic shell with kapton smart material and photostrictive actuators has been used to formulate the governing equation in the transverse direction. The Kirchhoff-Love assumptions are used to obtain the governing equation of shell with actuator. The mechanical membrane forces and bending moments for parabolic thin shell with actuator is used to analyze the dynamic effect. The results show that membrane control action is much more significant than bending control action. Photostrictive actuators oriented along circumferential direction (actuator-2) can give better control effect than actuators placed along longitudinal direction (actuator-1). The slight difference is observed between spherical and parabolic shell for a surface with focal length to the diameter ratio of 1.00 or more than unity. Space applications often have the shape of parabolical shells or shell of revolution, due to their required focusing, aiming, or reflecting performance. The present approach is focused that photostrictive actuators can effectively control the vibration of parabolical membrane shell. Also, the actuator's location plays an important role in defining the control force.

• Structural Engineering and Mechanics
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• 제19권4호
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• pp.459-475
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• 2005

This paper deals with a novel application of the Generalized Differential Quadrature (G.D.Q.) method to the linear elastic static analysis of isotropic rotational shells. The governing equations of equilibrium, in terms of stress resultants and couples, are those from Reissner-Mindlin shear deformation shell theory. These equations, written in terms of internal-resultants circular harmonic amplitudes, are first put into generalized displacements form, by use of the strain-displacements relationships and the constitutive equations. The resulting systems are solved by means of the G.D.Q. technique with favourable precision, leading to accurate stress patterns.

• 대한조선학회지
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• 제20권4호
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• pp.1-8
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• 1983

This paper describes the application of the finite element method to the large deflection elastic plastic analysis and ultimate load calculation of axisymmetric shell of revolution with initial imperfection subjected to external pressure. The nonlinear equilibrium equations are linearized by the successive incremental method and are solved by the combination of load increment and iteration scheme with considering plastic deformation theory. To get the more realistic effect of large deflection, corrected coordinats and directions of applied load ar every load increment steps are used. The effects of the plasticity, initial imperfection and the shape of shells on the ultimate load of clamped circular cap under external pressure are investigated. Consequently, the following conclusions are obtained; (1) At same geometric parameter $\lambda$, each shape of clamped circular caps yield same elastic ultimate loads in both cases, i.e. with and without initial imperfections, whereas, in the case of elastic-plastic state the shell becomes thicker, the ultimate loads are getting smaller. (2) The effects of initial imperfection to ultimate load are most significant in the elastic case and are more senstive in the elastic-plastic state with the thinner shells.

• 한국공작기계학회논문집
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• 제17권1호
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• pp.150-157
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• 2008

Bellows are commonly used in piping systems to absorb expansion and contraction in order to reduce stress. Unlike most piping components, bellows consist of a thin-walled shell of revolution with a corrugated meridian, in order to provide the flexibility needed to absorb mechanical movements. It is a composite shell structure consisting of at least one toroidal shell, an annular plate or conical shell. It is difficult to analyze the behavior of bellows because of its complex geometry. Simplified formulas for variable mechanical behaviors of bellows are provided by a standard called EJMA. An automatic design software for bellows is programming by using VBA(Visual Basic for Application) based on EJMA. Bellows engineers can effectively make a decision for bellows geometries because this software provides graphically design results in its post-processor. Bellows design software is expected to give quite a good guidance to practical design. The characteristics of bellows are also investigated through the automatic design process in bellows design software.

• 한국전산구조공학회논문집
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• 제15권3호
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• pp.399-407
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• 2002

속이 빈 축대칭 회전체인 두꺼운 쉘의 정확한 고유진동수와 모우드형상을 결정하기 위해서 3차원적인 해석방법이 사용되었다. 이 축대칭 회전쉘의 모선을 직선으로 한정하지 않았으며, 쉘의 두께 또한 일정한 것으로 제한하지 않았다. 이 쉘의 중앙면은 임의의 곡율을 가지며, 쉘의 두께도 임의적으로 변한다. 자오선방향, 두께방향, 원주방향으로의 변위 성분인$U_\Phi, U_z, U_\theta$는 시간반응의 정현성(sinusoidal)과$\theta$방향으로의 주기성을 지니며,$\Phi$와 z 방향으로는 대수다항 식의 형태로 가정되었다. 이 쉘의 변형률에너지와 운동에너지를 공식화하였으며, 진동수의 최소화를 통해 상위경계치의 진동수를 구하고 다항식의 차수를 증가시켜 엄밀해에 수렴된 진동수를 구할 수 있다. 선형적으로 두께가 변하는 두꺼운 원추형쉘과 구형쉘에 대한 예를 통하여 하위 다섯 개의 진동수에 대해서 유효 숫자 4자리까지의 정확한 수렴성연구가 이루어졌다. 이 해석 방법은 두께가 매우 두꺼운 쉘 뿐만이 아니라 얇은 쉘에도 적용이 가능하다

• 복합신소재구조학회 논문집
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• 제1권3호
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• pp.24-34
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• 2010

본 논문은 전단변형효과를 고려한 복합신소재 적층 쉘을 해석하기 위하여, 일반 쉘의 지배방정식을 유도하고, 이 방정식을 풀기 위하여 수치해석 기법중 하나인 유한차분법을 수행하였다. 유한차분법을 미분방정식을 지배방정식으로 가지는 구조물 해석시 간편하게 사용될 수 있고, 오차의 범위를 선택적으로 정할수 있는 장점이 있다. 수치해석 결과의 타당성을 검증하기 위하여 수렴도 분석과 범용 구조해석 프로그램인 LUSAS의 해석결과와 비교하였다. 본 논문의 목적은 전단변형 효과를 고려한 일반 쉘의 거동 특징 및 분석, 복합재료로 구성되었을 경우 정확한 거동을 분석하고, 쉘 구조물이 보다 높은 강성을 가질 수 있도록 하는 적절한 화이버의 보강방안과 다양한 조건 변화를 통해서 최적의 쉘 구조물을 제시하는 것이다. 쉘의 곡률의 변화에 따른 거동과 합응력의 변화를 분석하고, 쉘의 높이-너비 비와 화이버 보강각도 변화에 따른 처짐 및 합응력의 변화를 비교, 분석하여 보다 유리한 쉘 구조물을 제시하였다. 또한 다양한 하중을 가하여 쉘의 형상 변화를 비교 분석함으로서 비등방성 재료로 이루어진 일반 쉘의 거동에 대하여 분석하였다.

• 한국전자통신학회논문지
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• 제18권4호
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• pp.641-648
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• 2023

최근 4차 산업 혁명 중에서 인공지능의 급성장은 반도체의 성능 향상 및 회로의 집적을 기반으로 진보하였다. 전자기기 및 장비의 내부에서 연산을 돕는 트랜지스터는 고도화 및 소형화 되어 가며 발열의 제어 및 방열의 효율 개선이 새로운 성능의 지표로 대두되었다. DUT(Device Under Test) Shell은 트랜지스터의 검수를 위하여 정격 전류를 인가한 후, 임의의 발열 지점에서 전원을 차단한 상태에서, 방열을 통하여 트랜지스터의 내구도를 평가하여 불량 트랜지스터를 검출하는 장비이다. DUT Shell은 장비 내부의 방열 구조에 따라 동시에 더 많은 트랜지스터를 테스트할 수 있기 때문에 방열 효율은 불량 트랜지스터 검출 효율과 직접적인 관계를 갖는다. 이에 본 논문에서는 DUT Shell의 방열 최적화를 위하여 배치구조의 다양한 방법을 제안하고 전산유체역학을 이용하여 최적의 DUT Shell의 다양한 변형과 열 해석을 제안하였다.

• Structural Engineering and Mechanics
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• 제17권6호
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• pp.789-817
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• 2004

This paper deals with the modal analysis of rotational shell structures by means of the numerical solution technique known as the Generalized Differential Quadrature (G. D. Q.) method. The treatment is conducted within the Reissner first order shear deformation theory (F. S. D. T.) for linearly elastic isotropic shells. Starting from a non-linear formulation, the compatibility equations via Principle of Virtual Works are obtained, for the general shell structure, given the internal equilibrium equations in terms of stress resultants and couples. These equations are subsequently linearized and specialized for the rotational geometry, expanding all problem variables in a partial Fourier series, with respect to the longitudinal coordinate. The procedure leads to the fundamental system of dynamic equilibrium equations in terms of the reference surface kinematic harmonic components. Finally, a one-dimensional problem, by means of a set of five ordinary differential equations, in which the only spatial coordinate appearing is the one along meridians, is obtained. This can be conveniently solved using an appropriate G. D. Q. method in meridional direction, yielding accurate results with an extremely low computational cost and not using the so-called "delta-point" technique.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2008년도 추계학술대회B
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• pp.2082-2087
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• 2008

The heat transfer process from steam to web through the cylinder drum consists of the thermal resistance by condensate thickness. thickness of shell, and the contact resistance between cylinder and web. The most thermal resistance in conventional cylinder drum dryer is generated by condensate, which is increased by the increase on revolution per minute(RPM). Therefore, the increase of RPM for the production enhancement results in the more thermal resistance, and eventually RPM is restricted. In this study, the theoretical analysis on the characteristics of heat transfer in cylinder drum for paper dryer was performed in the stationary state of steam in drum. The overall heat transfer coefficient, steam quantity and heat transfer quantity were predicted by diameter and length of drum, condensate thickness, revolution per minute and steam temperature for experimental apparatus design.