• 제목/요약/키워드: Boundary Integral Method

검색결과 389건 처리시간 0.035초

주변고정 장방형 평판에 있어서 임의점 가진에 의한 고체전파음의 예측 (An estimate of structure-borne sound by the excitation at an arbitrary point on the rectangular plate with fixed edges)

  • 김의간
    • Journal of Advanced Marine Engineering and Technology
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    • 제12권2호
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    • pp.21-34
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    • 1988
  • Machinery enclosures are widely adopted to reduce the noise emission in various fields of application. Emitted noise, which is due to the vibration of enclosure's outer surface, is composed of two kinds of sound with different path of propagation. One is the "structure-borne sound", while the other is "air-borne sound". In order to get a most efficient machinery enclouser a prudent consideration upon the above structure-borne and air-borne sound is required, as the guiding principle of contermeasure for each noise is quite different. The controlling of input vibration and its isolation are major subjects for the structure-borne sound, and the specifications of absorbing members and damping panels are the major related matters for the air-borne sound. Hence, it seems very efficient to separate the total sounds into two categories with a great accuracy when one think of further reduction of noise from the existing enclosure, although its separating methods have not been made clear for many years. Author proposes an application method of experimental modal analysis to extract the structure-borne sound from the measured total radiation sound, as the air-borne sound is deduced by the vectorial difference between the measured total radiation sound and the calculated structure-borne sound. In order to calculate the correct structure-borne sound by the excitation at an arbitrary point on the enclosure structure, it is important to decide 1) how to estimate the enclosure's surface vibration velocity and 2) how to compute the radiation sound which is considered as the effect of vibration modes of enclosure surface. The former can be solved with total frequency response function calculated by the application of experimental modal analysis. The latter is to be solved by the author's new approaches for radiation sound computation by means of the Rayleigh's integral equation and the boundary-element method applied complex surface vibration velocity. As a first step, structure-borne sound by the excitation at an arbitry point on the rectangular plate with fixed edges, has been calculated to verified the reliability of the developed computation methods. The results of calculation show good agreements with those of the actual measurements.actual measurements.

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유한요소법에 의한 과도연성 열탄성 해석 (Transient coupled thermoelastic analysis by finite element method)

  • 이태원;심우진
    • 대한기계학회논문집
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    • 제14권6호
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    • pp.1408-1416
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    • 1990
  • 본 연구에서는 과도 연성 열탄성문제의 해를 구할때 사용되는 직접시간적분방 법과 Laplace 변환방법은 상호 장 단점을 가지고 있다. 각 방법들의 장단점은 서로 배타적이므로 서로의 장점을 살리는 수치방법이 필요하다. 그런데, 대부분의 과도 열탄성문제는 급격한 온도변화로 인한 물체의 변형에 관심이 있기때문에 이 형태의 문 제를 효율적으로 다루는 데 주안점을 두고 본 연구를 수행하였다. 유도된 유한요소 방정식은 결국 열탄성 지배 방정식 중 열전달방정식인 에너지보존식은 Gurtin의 범함 수로부터 유도된 원래의 형태를 사용하나 수치적 안정성(numerical stability)을 보장 하기 위하여 운동방정식은 시간에 대한 2차미분 형태로 수정하였다. 에너지보존식은 시간에 대한 합성적분(convolution)형태로 표현되므로 온도의 시간미분항이 소거되므 로 경계에서의 급격한 온도변화로 인한 수치 해석적 문제점은 간단히 해결된다. 그 러므로, 제안된 수치해법은 직접시간적분방법의 일종이나 결과식인 유한요소방정식은 기존의 문헌들과 상당한 차이가 있다. 과도 연성 열탄성해석을 위한 새로운 근사수 치해법의 장점을 이론적으로 설명하기보다 수치계산면에서의 안전성, 정확성 및 효율 성이 있음을 증명하기 위하여 이미 발표된 문헌들에서 다룬 예제를 선정하여 해석결과 를 비교하였다.

그림자 아틀라스를 이용한 부드러운 그림자 생성 방법 (Real-time Soft-shadow using Shadow Atlas)

  • 박선용;양진석;오경수
    • 한국컴퓨터그래픽스학회논문지
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    • 제17권2호
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    • pp.11-16
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    • 2011
  • 컴퓨터 그래픽스에서 그림자는 그림자 자체로서 뿐 아니라 장면 내 물체들 간의 거리감에 대한 단서를 제공함으로써 사실감 제고 측면의 매우 중요한 역할을 한다. 그림자를 표현하기 위한 전통적인 방법으로 그림자 매핑이나 그림자 볼륨 등의 기법들이 사용되지만 점광원(point light)을 가정하므로 결과가 자연스럽지 못하다. 반면, 면광원(area light)을 사용할 경우 부드러운 그림자를 생성하므로 좀 더 사실적인 그림자 표현이 가능하지만 광원면(light source surface) 전체에 대한 적분을 요구하기 때문에 계산비용이 매우 비싸다. 이러한 단점을 극복하기 위해 차폐물(occluder)의 광원으로의 역투사(back-projection)나 반영(penumbra)의 크기 계산을 통한 필터링 등 여러 방안들이 소개되었지만 낮은 수준(order)의 근사로 인한 누광(light bleeding)이나 물결현상(ringing effect), 그리고 성능저하 등의 문제가 발생한다. 본 논문에서는 그림자 아틀라스(shadow atlas)를 이용하여 이러한 문제들을 개선하는 방법에 대하여 기술한다.

투수층에 적용 가능한 흐름함수방식의 확장형 완경사방정식의 개발 (Development of Complementary Mild-slope Equation for Stream Function Over Permeable Bed)

  • 김건우
    • 해양환경안전학회지
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    • 제22권6호
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    • pp.758-765
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    • 2016
  • 본 연구에서는 유한한 깊이의 투수층에 의한 파랑 감쇠 현상을 흐름함수에 대한 확장형 완경사방정식을 사용하여 해석하였다. 에너지 감쇠율을 흐름함수에 대한 완경사방정식에 고려할 수 있도록 감쇠항을 제시하였다. 수치실험 시 계산영역에서 반사된 파가 경계에서 재반사되는 문제를 극복하기 위해서, 델타함수 형태의 원천함수를 유도하여 계산영역 내에서 조파하였다. 경사면 위의 파랑의 반사율 측정 실험을 다양한 주기에 대해서 수행하였다. 투수성이 있는 수중둔덕에 대해서, 수치실험 결과는 해석해인 적분방정식의 결과와 대체로 잘 일치하였다. 그러나, 투수계수가 크고 파장이 길수록 본 연구의 결과가 상대적으로 높은 투과율을 보였다.

수직평판에서 층류막상 응축열전달에 관한 해석적 고찰 (An analytical study on the heat transfer of the laminar filmwise condensation on a vertical surface)

  • 김형섭
    • 오토저널
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    • 제2권1호
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    • pp.21-31
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    • 1980
  • Two phase boundary layer equations of laminar filmwise condensation are solved by an approximate integral method under the following condition; saturated vapour flows vertically downward over a cooled surface of uniform temperature, the condensate film is so thin that the inertia and convection terms are neglected. The following conclusions are drawn under the above assumptions. 1. free convection In case of the linear temperature profile in a liquid film, numerical results for the average coefficients of heat transfer may be expressed as N $u_{m}$=4/3,(G $r_{l}$ /4.H)$^{1}$4/ and in case of the quadratic profile, numerical results may be expressed as N $u_{m}$=2/1.682,(G $r_{l}$ /H)$^{1}$4/. 2. Forced convection When the temperature profile is assumed to be linear in a liquid film, numerical results fir the average heat transfer coefficients may be expressed as N $u_{m}$=(A, R $e_{l}$ /H)$^{1}$2/. This expression is compared with the experimental results hitherto reported; For theoretical Nusselt number (N $u_{m}$)$_{th}$<2*10$^{4}$, the experimental Nusselt number (N $u_{m}$)$_{exp}$ is on the average larger than theoretical Nusselt number (N $u_{m}$)$_{th}$ by 30%. For (N $u_{m}$)$_{th}$>2*10$^{4}$, experimental Nusselt number (N $u_{m}$)$_{exp}$ is about 1.6 times as large as theoretical Nusselt number (N $u_{m}$)$_{th}$. These large deviation may be caused by the presence of turbulence in the liquid film. In case of the quadratic temperature profile in a liquid film, numerical results for the average coefficients of heat transfer may be expressed as N $u_{m}$'=(2,A,Re/H)$^{1}$2/. This formular shows that theoretical Nusselt number (N $u_{m}$)$_{th}$ is larger than experimental Nusselt number (N $u_{m}$)$_{exp}$ by 60%. It is speculated that when the temperature difference between cooled surface and saturated vapour is small, temperature profile in a liquid film is quadratic.quadratic.. quadratic.quadratic..atic..

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Nonlinear interaction behaviour of plane frame-layered soil system subjected to seismic loading

  • Agrawal, Ramakant;Hora, M.S.
    • Structural Engineering and Mechanics
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    • 제41권6호
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    • pp.711-734
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    • 2012
  • The foundation of a tall building frame resting on settable soil mass undergoes differential settlements which alter the forces in the structural members significantly. For tall buildings it is essential to consider seismic forces in analysis. The building frame, foundation and soil mass are considered to act as single integral compatible structural unit. The stress-strain characteristics of the supporting soil play a vital role in the interaction analysis. The resulting differential settlements of the soil mass are responsible for the redistribution of forces in the superstructure. In the present work, the nonlinear interaction analysis of a two-bay ten-storey plane building frame- layered soil system under seismic loading has been carried out using the coupled finite-infinite elements. The frame has been considered to act in linear elastic manner while the soil mass to act as nonlinear elastic manner. The subsoil in reality exists in layered formation and consists of various soil layers having different properties. Each individual soil layer in reality can be considered to behave in nonlinear manner. The nonlinear layered system as a whole will undergo differential settlements. Thus, it becomes essential to study the structural behaviour of a structure resting on such nonlinear composite layered soil system. The nonlinear constitutive hyperbolic soil model available in the literature is adopted to model the nonlinear behaviour of the soil mass. The structural behaviour of the interaction system is investigated as the shear forces and bending moments in superstructure get significantly altered due to differential settlements of the soil mass.

Effects of inclined bedrock on dissimilar pile composite foundation under vertical loading

  • Kaiyu, Jiang;Weiming, Gong;Jiang, Xu;Guoliang, Dai;Xia, Guo
    • Geomechanics and Engineering
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    • 제31권5호
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    • pp.477-488
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    • 2022
  • Pile composite foundation (PCF) has been commonly applied in practice. Existing research has focused primarily on semi-infinite media having equal pile lengths with little attention given to the effects of inclined bedrock and dissimilar pile lengths. This investigation considers the effects of inclined bedrock on vertical loaded PCF with dissimilar pile lengths. The pile-soil system is decomposed into fictitious piles and extended soil. The Fredholm integral equation about the axial force along fictitious piles is then established based on the compatibility of axial strain between fictitious piles and extended soil. Then, an iterative procedure is induced to calculate the PCF characteristics with a rigid cap. The results agree well with two field load tests of a single pile and numerical simulation case. The settlement and load transfer behaviors of dissimilar 3-pile PCFs and the effects of inclined bedrock are analyzed, which shows that the embedded depth of the inclined bedrock significantly affects the pile-soil load sharing ratios, non-dimensional vertical stiffness N0/wdEs, and differential settlement for different length-diameter ratios of the pile l/d and pile-soil stiffness ratio k conditions. The differential settlement and pile-soil load sharing ratios are also influenced by the inclined angle of the bedrock for different k and l/d. The developed model helps better understand the PCF characteristics over inclined bedrock under vertical loading.

Application of Hamilton variational principle for vibration of fluid filled structure

  • Khaled Mohamed Khedher;Muzamal Hussain;Rizwan Munir;Saleh Alsulamy;Ayed Eid Alluqmani
    • Advances in nano research
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    • 제15권5호
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    • pp.401-410
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    • 2023
  • Vibration investigation of fluid-filled three layered cylindrical shells is studied here. A cylindrical shell is immersed in a fluid which is a non-viscous one. Shell motion equations are framed first order shell theory due to Love. These equations are partial differential equations which are usually solved by approximate technique. Robust and efficient techniques are favored to get precise results. Employment of the wave propagation approach procedure gives birth to the shell frequency equation. Use of acoustic wave equation is done to incorporate the sound pressure produced in a fluid. Hankel's functions of second kind designate the fluid influence. Mathematically the integral form of the Lagrange energy functional is converted into a set of three partial differential equations. It is also exhibited that the effect of frequencies is investigated by varying the different layers with constituent material. The coupled frequencies changes with these layers according to the material formation of fluid-filled FG-CSs. Throughout the computation, it is observed that the frequency behavior for the boundary conditions follow as; clamped-clamped (C-C), simply supported-simply supported (SS-SS) frequency curves are higher than that of clamped-simply (C-S) curves. Expressions for modal displacement functions, the three unknown functions are supposed in such way that the axial, circumferential and time variables are separated by the product method. Computer software MATLAB codes are used to solve the frequency equation for extracting vibrations of fluid-filled.

2열 불투과성 사각형 잠제를 이용한 단주기파랑 및 고립파의 제어 (Control of Short-period and Solitary Waves Using Two-rowed Impermeable Rectangular Submerged Dike)

  • 이광호;정성호;하선욱;김도삼
    • 한국해안·해양공학회논문집
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    • 제22권4호
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    • pp.203-214
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    • 2010
  • 본 연구에서는 단주기파랑과 고립파를 동시에 저감시키기 위해 Bragg공진현상으로부터 입사파랑에너지를 포획하여 배후로 전달되는 파랑에너지의 저감을 도모할 수 있는 2열 불투과성 사각형 잠제(이하에서는 2열잠제로 칭함)의 파랑제어능을 수치적으로 검토하였다. 단주기파랑에 대해서는 Green공식에 기초한 경계적분방정식법을, 고립파에 대해서는 3차원수치파동수로를 이용하는 3차원혼상류해석법을 각각 적용하였고, 기존의 수치해석결과 및 고립파의 특성과 비교·분석하여 본 수치해석법의 타당성을 검증하였다. 이로부터 단주기파랑의 제어에 있어서 최소반사율을 나타내는 2열잠제의 조건을 검토하였고, 고립파에 대해서는 2열잠제의 천단고, 천단폭, 이격거리 및 입사파고 등을 변화시켜 1열 불투과성 사각형 잠제(이하에서는 1열잠제로 칭함)에 의한 결과와의 대비를 통하여 고립파의 3차원파랑제어특성을 검토하였다. 수치해석결과는 1열잠제보다 단면적이 훨씬 적은(천단고는 동일함) 2열잠제가 단주기파랑 및 고립파를 훨씬 효율적으로 제어하며, 특히 본 연구의 조건하에서 2열잠제의 경우가 1열잠제에 비해 약 58%정도의 부가적인 파고저감효과를 나타내었다.