• Computers and Concrete
• /
• 제33권3호
• /
• pp.241-250
• /
• 2024

This article investigates the thermal and post-buckling problems of graphene platelets reinforced metal foams (GPLRMF) beams with initial geometric imperfection. Three distribution forms of graphene platelet (GPLs) and foam are employed. This article utilizes the mixing law Halpin Tsai model to estimate the physical parameters of materials. Considering three different boundary conditions, we used the Euler beam theory to establish the governing equations. Afterwards, the Galerkin method is applied to discretize these equations. The correctness of this article is verified through data analysis and comparison with the existing articles. The influences of geometric imperfection, GPL distribution modes, boundary conditions, GPLs weight fraction, foam distribution pattern and foam coefficient on thermal post-buckling are analyzed. The results indicate that, perfect GPLRMF beams do not undergo bifurcation buckling before reaching a certain temperature, and the critical buckling temperature is the highest when both ends are fixed. At the same time, the structural stiffness of the beam under the GPL-A model is the highest, and the buckling response of the beam under the Foam-II mode is the lowest, and the presence of GPLs can effectively improve the buckling strength.

• Nuclear Engineering and Technology
• /
• 제55권11호
• /
• pp.4295-4306
• /
• 2023

The vibration of fuel rods in axial flow is a universally recognized issue within both engineering and academic communities due to its significant importance in ensuring structural safety. This paper aims to thoroughly investigate the stability and nonlinear vibration of a fuel rod subjected to axial flow in a newly designed high temperature gas cooled reactor. Considering the possible presence of thermal expansion and large deformation in practical scenarios, the thermal effect and geometric nonlinearity are modeled using the von Karman equation. By applying Hamilton's principle, we derive the comprehensive governing equation for this fluid-structure interaction system, which incorporates the quadratic nonlinear stiffness. To establish a connection between the fluid and structure aspects, we utilize the Galerkin method to solve the perturbation potential function, while employing mode expansion techniques associated with the structural analysis. Following convergence and validation analyses, we examine the stability of the structure under various conditions in detail, and also investigate the bifurcation behavior concerning the buckling amplitude and flow velocity. The findings from this research enhance the understanding of the underlying physics governing fuel rod behavior in axial flow under severe yet practical conditions, while providing valuable guidance for reactor design.

• Advances in nano research
• /
• 제17권1호
• /
• pp.61-73
• /
• 2024

This paper presents nonlinear vibration analysis of a composite cylindrical shell. The core of the shell is made of functionally graded (FG) porous materials and layers is fabricated of carbon nanotubes (CNTs) reinforced nanocomposites. To increase the accuracy of results, neutral surface position is considered. First-order shear deformation theory is used as displacement field to derive the basic relations of equation motions. In addition, von-Karman nonlinear strains are employed to account geometric nonlinearity and to enhance the results' precision, the exact position of the neutral surface is considered. To governing the partial equations of motion, the Hamilton's principle is used. To reduce the equation motions into a nonlinear motion equation, the Galerkin's approach is employed. After that the nonlinear motion equation is solved by multiple scales method. Effect of various parameters such as volume fraction and distribution of CNTs along the thickness directions, different patterns and efficiency coefficients of porous materials, geometric characteristics and initial conditions on nonlinear to linear ratio of frequency is investigated.

• 대한기계학회논문집B
• /
• 제37권3호
• /
• pp.229-235
• /
• 2013

유연한 혈관벽을 가진 경동맥 분지관을 흐르는 혈액의 유동을 해석하기 위하여 비정상상태, 비압축성, 뉴턴 유체를 가정한 3차원 유한요소해석을 수행하였다. 유체영역은 P2P1 유한요소를 사용하였으며, 격자의 움직임을 모사하기 위하여 arbitrary Lagrangian-Eulerian 기법을 적용하였다. Newmark 관계식을 이용하여 고체영역의 선형탄성 방정식의 변수들을 속도에 관한 방정식으로 간략화하였으며, 유체와 고체의 운동에 관하여 완전 결합된 공식을 얻었다. 맥동의 한 주기 동안에 혈관벽의 유연성이 유동장에 큰 영향을 미치며, 경동맥 분지각이 커짐에 따라 경동맥 공동에서 유동장의 정체영역이 더 넓게 분포한다는 연구결과를 얻었다.

• 한국전자파학회논문지
• /
• 제22권10호
• /
• pp.1005-1011
• /
• 2011

본 논문에서는 일반적인 분산 매질의 전자기 과도 응답을 해석하기 위하여 헬름홀츠 방정식에 근거한 MODFDM(Marching-on-in-Degree Finite Difference Method) 기법을 제안한다. 라게르 함수의 특성을 이용하여 시간에 대한 미분항과 상승 적분(convolution integral)의 근사를 해석적으로 처리하였다. 본 기법의 기본적인 독창성은 전장과 전속 밀도, 유전율 등을 모두 라게르 함수로 전개한 다음, 갤러킨 시험 과정을 적용하여 시간 변수를 완전히 제거하였을 뿐만 아니라, 기존의 FDTD(Finite Difference Time-Domain) 방법과 달리 최종 계산식에 공간적인 유한 차분만을 적용하는데 있다. 일반적인 분산 매질의 해석에 적용 가능함을 보이기 위하여 대표적인 드바이, 드루드 및 로렌츠 분산 매질에 대한 전자기 과도 응답을 수치예로 보인다.

• 한국소음진동공학회논문집
• /
• 제25권12호
• /
• pp.866-873
• /
• 2015

The transverse vibration of the deploying beam from rigid hub was analyzed by simulation and experiment. The linear governing equation of the deploying beam was obtained using the Euler-Bernoulli beam theory. To discretize the governing equation, the Galerkin method was used. After transforming the governing equation into the weak form, the weak form was discretized. The discretized equation was expressed by the matrix-vector form, and then the Newmark method was applied to simulate. To consider the damping effect of the beam, we conducted the modal test with various beam length. The mass proportional damping was selected by the relation of the first and second damping ratio. The proportional damping coefficient was calculated using the acquired natural frequency and damping ratio through the modal test. The experiment was set up to measure the transverse vibration of the deploying beam. The fixed beam at the carriage of the linear actuator was moved by moving the carriage. The transverse vibration of the deploying beam was observed by the Eulerian description near the hub. The deploying or retraction motion of the beam had the constant velocity and the velocity profile with acceleration and deceleration. We compared the transverse vibration results by the simulation and experiment. The observed response by the Eulerian description were analyzed.

• Wind and Structures
• /
• 제15권6호
• /
• pp.481-494
• /
• 2012

The greenhouse type metal structures are increasingly used in modern construction of livestock farms because they are less laborious to construct and they provide a more favorable microclimate for the growth of animals compared to conventional livestock structures. A key stress factor for metal structures is the wind. The external pressure coefficient ($c_{pe}$) is used for the calculation of the wind effect on the structures. A high pressure coefficient value leads to an increase of the construction weight and subsequently to an increase in the construction cost. The EC1 in conjunction with EN 13031-1:2001, which is specialized for greenhouses, gives values for this coefficient. This value must satisfy two requirements: the safety of the structure and a reduced construction cost. In this paper, the Navier - Stokes and continuity equations are solved numerically with the finite element method (Galerkin Method) in order to simulate the two dimensional, incompressible, viscous air flow over the vaulted roofs of single span and twin-span with eaves livestock greenhouses' structures, with a height of 4.5 meters and with length of span of 9.6 and 14 m. The simulation was carried out in a wind tunnel. The numerical results of pressure coefficients, as well as, the distribution of them are presented and compared with data from Eurocodes for wind actions (EC1, EN 13031-1:2001). The results of the numerical experiment were close to the values given by the Eurocodes mainly on the leeward area of the roof while on the windward area a further segmentation is suggested.

• 한국전자파학회논문지
• /
• 제20권9호
• /
• pp.936-942
• /
• 2009

본 논문에서는 함체 케이스의 내부에 손실 유전체를 충진한 부공동을 설치하고 함체 케이스 내부로 공급된 전력과 반사 계수를 계산하여 함체의 공진 특성을 검토하고 있다. 이론 해석으로는 내부 전자파원의 전류 분포 및 부공동 개구면에서의 전계 분포에 관한 연립 적분방정식을 유도하고 Galerkin의 모멘트법으로 해석하였다. 이론 해석 결과, carbon을 함유한 발포 폴리스티렌을 손실 유전체로 사용하여 부공동의 크기와 carbon 함유량을 조절함으로써 함체 케이스의 공진 특성을 제어하여 함체 내부의 전자파 방사 크기를 저감시킬 수 있음을 보이고 있으며, 공급 전력의 실험치와도 비교하여 이론 해석의 타당성을 확인하고 있다.

• 대한기계학회논문집A
• /
• 제24권12호
• /
• pp.2989-2994
• /
• 2000

A mechanical face seal is a tribo-element intended to control leakage of working fluid at the interface of a rotating shaft and its housing. Leakage of working fluid decreases drastically as the clearance between mating seal faces gets smaller. But the very small clearance may result in an increased reduction of seal life because of high wear and heat generation. Therefore, in the design of mechanical face seals a compromise between low leakage and acceptable seal life is important, ant it present a difficult and practical design problem. A fluid film or sealing dam geometry of the seal clearance affects seal lubrication performance very much, and thereby is optimization is one of the main design consideration. in this study the Reynolds equation for the sealing dam of mechanical face seals is numerically analyzed, using the Galerkin finite element method, which is readily applied to various seal geometries, to give lubrication performances, such as opening force, restoring moment, leakage, and axial and angular stiffness coefficients. Then, to improve the seal performance an optimization is performed, considering various design variables simultaneously. For the tested case the optimization ha successfully resulted in the optimal design values of outer and inner seal radii, coning, seal clearance, and balance radius while satisfying all the operation subjected constraints and design variable side-constraints, and improvements of axial and angular stiffness coefficients by 16.8% and 2.4% respectively and reduction of leakage by 38.4% have been achieved.

• 설비공학논문집
• /
• 제6권3호
• /
• pp.302-314
• /
• 1994

The effects of the inclination of enclosure and partition on natural convective flow and heat transfer were investigated numerically. The enclosure was composed of the lower hot and the upper cold horizontal walls and the adiabatic vertical walls, and a partition was positioned perpendicularly at the mid-height of one vertical insulated wall. The governing equations are solved by using the finite element method with Galerkin method. The computations were performed with the variations of the partition length and Rayleigh number based on the temperature difference between two horizontal walls and the enclosure height with water(Pr=4.95). The effects of the inclination angle of enclosure and partition on the heat transfer within an enclosure were also studied. As the results, the increase of the inclination angle of enclosure rapidly raised the heat transfer rate, while the inclination angle for the maximum Nusselt number was retarded with the increase of the partition length and the decrease of the heat transfer rate became larger in proportion to the increase of the partition length. The Nusselt number obtained by the inclination of partition was smaller than that of the inclination of enclosure. However, the difference of the heat transfer rates was considerably decreased at the longer partition lengths and the trends for the variation of the average Nusselt number were more similar with that of the inclination of enclosure. The upward oriented partition increases the convective heat transfer distinctly in contrast to that of the inclination of enclosure as the partition length increases.