• 제목/요약/키워드: Parabolic problem

검색결과 129건 처리시간 0.024초

Analytical investigation of bending response of FGM plate using a new quasi 3D shear deformation theory: Effect of the micromechanical models

  • Bouiadjra, Rabbab Bachir;Mahmoudi, Abdelkader;Benyoucef, Samir;Tounsi, Abdelouahed;Bernard, Fabrice
    • Structural Engineering and Mechanics
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    • 제66권3호
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    • pp.317-328
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    • 2018
  • In this paper, a new refined quasi-three-dimensional (3D) shear deformation theory for the bending analysis of functionally graded plate is presented. The number of unknown functions involved in this theory is only four against five or more in the case of the other shear and normal deformation theories. Due to its quasi-3D nature, the stretching effect is taken into account in the formulation of governing equations. In addition, the effect of different micromechanical models on the bending response of these plates is studied. Various micromechanical models are used to evaluate the mechanical characteristics of the FG plates whose properties vary continuously across the thickness according to a simple power law. The present theory accounts for both shear deformation and thickness stretching effects by a parabolic variation of displacements across the thickness, and the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. The problem is solved for a plate simply supported on its edges and the Navier solution is used. The results of the present method are compared with others from the literature where a good agreement has been found. A detailed parametric study is presented to show the effect of different micromechanical models on the flexural response of a simply supported FG plates.

광학 성능 및 제작성 향상을 위한 탐조등 렌즈 연구 (Study of a Searchlight Lens to Improve Optical Performance and Fabricability)

  • 조예지;정미숙
    • 한국광학회지
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    • 제31권2호
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    • pp.81-87
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    • 2020
  • 본 연구에서는 좁은 지향각, 높은 최대 중심광도를 갖는 탐조등 광학계 설계 기술 연구를 진행하였다. 기존 탐조등 광원인 할로겐램프와 제논램프는 진동과 충격에 취약하며, 크기가 크고 무거워 운반에 많은 어려움이 있다. 또한 탐조등 후면부에 위치한 포물경은 제작 시 광원과 조립 오차에 따른 성능 저하와 낮은 광 효율의 단점을 지니고 있다. 이를 해결하기 위해 본 논문에서는 1 kW 할로겐램프를 150 W급 고출력 COB LED로 대체하고 목표 성능을 만족하기 위한 고효율 TIR 렌즈를 설계하였다. 이후 광학계 사출 시 발생하는 표면 오차를 해결하는 방안으로 TIR 렌즈 어레이를 제시하여 제작 신뢰성을 확보하였다. 설계된 광학계를 바탕으로 시제품을 제작한 후 시중 할로겐램프 탐조등과 성능을 비교하여 광학 성능의 우수함을 확인하였다.

Effect of tapered-end shape of FRP sheets on stress concentration in strengthened beams under thermal load

  • El Mahi, Benaoumeur;Kouider Halim, Benrahou;Sofiane, Amziane;Khalil, Belakhdar;Abdelouahed, Tounsi;Adda Bedia, El Abbes
    • Steel and Composite Structures
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    • 제17권5호
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    • pp.601-621
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    • 2014
  • Repairing and strengthening structural members by bonding composite materials have received a considerable attention in recent years. The major problem when using bonded FRP or steel plates to strengthen existing structures is the high interfacial stresses that may be built up near the plate ends which lead to premature failure of the structure. As a result, many researchers have developed several analytical methods to predict the interface performance of bonded repairs under various types of loading. In this paper, a numerical solution using finite - difference method (FDM) is used to calculate the interfacial stress distribution in beams strengthened with FRP plate having a tapered ends under thermal loading. Different thinning profiles are investigated since the later can significantly reduce the stress concentration. In the present theoretical analysis, the adherend shear deformations are taken into account by assuming a parabolic shear stress through the thickness of both beam and bonded plate. The shear correction factor for I-section beams is also included in the solution. Numerical results from the present analysis are presented to demonstrate the advantages of use the tapers in design of strengthened beams.

수중 환경 소음 모델이 적용된 의사 스펙트럼 시간영역 법 합성환경 수중음향채널 모델링 및 시뮬레이션 (The Modeling and Simulation for Pseudospectral Time-Domain Method Synthetic Environment Underwater Acoustics Channel applied to Underwater Environment Noise Model)

  • 김장은;김동길;한동석
    • 한국시뮬레이션학회논문지
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    • 제25권3호
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    • pp.15-28
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    • 2016
  • 수중환경에서 운영되는 무기체계 획득을 위한 설계/개발을 진행하기 위해 수중음향채널 모델링 및 시뮬레이션을 통한 분석은 필수적이다. 일반적으로 수중음향채널 분석을 위해 사용되는 수중음향 전파 수치해석 모델은 음선이론 법, 정규방식 법, 포물선방정식 법, 파수적분 법이 있으나 다중 주파수 분석일 경우 유효성과 신호처리 및 분석에 제한적이다. 본 논문은 단일 및 다중 주파수 분석 및 신호처리 및 분석이 용이한 기존 의사 스펙트럼 시간영역 법 수중음향 수치해석 모델에 수중환경 소음 모델을 적용하여 실제 수중환경과 유사한 합성환경 수중음향채널을 모델링 하였다. 이렇게 구현된 합성환경 수중음향채널 모델의 유효성을 확인하기 위해 단일 주파수 신호 시나리오 4가지 다중 주파수 신호 시나리오 4가지 및 잠수함 기동에 따른 방사소음 분석 시나리오 시뮬레이션을 통해 의사 스펙트럼 시간영역 법 합성환경 수중음향채널 모델 유효성을 확인하였다.

UVA LED를 이용한 근접 노광용 렌즈 설계 기술 연구 (A Study of Lens Design Technique for Proximity Exposure Using a UVA LED)

  • 이정수;조예지;이현화;공미선;강동화;정미숙
    • 한국광학회지
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    • 제30권4호
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    • pp.146-153
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    • 2019
  • 노광기는 회로 패턴을 원하는 위치에 전사시켜주는 장비로 패턴을 광학적 특성의 변형 없이 기재 상에 나타내기 위해서는 노광광학계의 특성이 매우 중요하다. 따라서 미세회로 패턴을 형성하기 위해서는 조사 면적에 작은 발산각으로 입사되어야 한다. 또한, 광원에서 나온 빛이 감광제와 균일하게 반응해야 하기 때문에 높은 광효율과 조도 균일도를 가져야 한다. 본 논문에서는 협각 구현의 문제점을 해결하기 위한 방법으로 반사형 타입인 파라볼라 반사경과 비구면 렌즈 설계를 진행하였고, 배열 후 시뮬레이션 분석 결과 광속 각도, 균일도, 최대조도가 목표 성능을 만족하는 것을 확인하였다.

A computational investigation on flexural response of laminated composite plates using a simple quasi-3D HSDT

  • Draiche, Kada;Selim, Mahmoud M.;Bousahla, Abdelmoumen Anis;Tounsi, Abdelouahed;Bourada, Fouad;Tounsi, Abdeldjebbar;Mahmoud, S.R.
    • Steel and Composite Structures
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    • 제41권5호
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    • pp.697-711
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    • 2021
  • In this work, a simple quasi 3-D parabolic shear deformation theory is developed to examine the bending response of antisymmetric cross-ply laminated composite plates under different types of mechanical loading. The main feature of this theory is that, in addition to including the transverse shear deformation and thickness stretching effects, it has only five-unknown variables in the displacement field modeling like Mindlin's theory (FSDT), yet satisfies the zero shear stress conditions on the top and bottom surfaces of the plate without requiring a shear correction factor. The static version of principle of virtual work was employed to derive the governing equations, while the bending problem for simply supported antisymmetric cross-ply laminated plates was solved by a Navier-type closed-form solution procedure. The adequacy of the proposed model is handled by considering the impact of side-to-thickness ratio on bending response of plate through several illustrative examples. Comparison of the obtained numerical results with the other shear deformation theories leads to the conclusion that the present model is more accurate and efficient in predicting the displacements and stresses of laminated composite plates.

Mechanical behaviour analysis of FGM plates on elastic foundation using a new exponential-trigonometric HSDT

  • Fatima Z. Zaoui;Djamel Ouinas;Abdelouahed Tounsi;Belkacem Achour;Jaime A. Vina Olay;Tayyab A. Butt
    • Steel and Composite Structures
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    • 제47권5호
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    • pp.551-568
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    • 2023
  • In this research, a new two-dimensional (2D) and quasi three-dimensional (quasi-3D) higher order shear deformation theory is devised to address the bending problem of functionally graded plates resting on an elastic foundation. The displacement field of the suggested theories takes into account a parabolic transverse shear deformation shape function and satisfies shear stress free boundary conditions on the plate surfaces. It is expressed as a combination of trigonometric and exponential shear shape functions. The Pasternak mathematical model is considered for the elastic foundation. The material properties vary constantly across the FG plate thickness using different distributions as power-law, exponential and Mori-Tanaka model. By using the virtual works principle and Navier's technique, the governing equations of FG plates exposed to sinusoidal and evenly distributed loads are developed. The effects of material composition, geometrical parameters, stretching effect and foundation parameters on deflection, axial displacements and stresses are discussed in detail in this work. The obtained results are compared with those reported in earlier works to show the precision and simplicity of the current formulations. A very good agreement is found between the predicted results and the available solutions of other higher order theories. Future mechanical analyses of three-dimensionally FG plate structures can use the study's findings as benchmarks.

THREE-SITE PHOTOMETRIC MONITORING OF THE δ SCT-TYPE PULSATING STAR V1162 ORIONIS : PERIOD CHANGE AND ITS IMPLICATIONS FOR PRE-MAIN SEQUENCE EVOLUTION

  • KIM, SEUNG-LEE;CHA, SANG-MOK;LIM, BEOMDU;LEE, JAE WOO;LEE, CHUNG-UK;LEE, YONGSEOK;KIM, DONG-JIN;LEE, DONG-JOO;KOO, JAE-RIM;HONG, KYEONGSOO;RYU, YOON-HYUN;PARK, BYEONG-GON
    • 천문학회지
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    • 제49권5호
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    • pp.199-208
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    • 2016
  • We present photometric results of the δ Sct star V1162 Ori, which is extensively monitored for a total of 49 nights from mid-December 2014 to early-March 2015. The observations are made with three KMTNet (Korea Microlensing Telescope Network) 1.6 m telescopes installed in Chile, South Africa, and Australia. Multiple frequency analysis is applied to the data and resulted in clear detection of seven frequencies without an alias problem: five known frequencies and two new ones with small amplitudes of 1.2-1.7 mmag. The amplitudes of all but one frequency are significantly different from previous results, confirming the existence of long-term amplitude changes. We examine the variations in pulsation timings of V1162 Ori for about 30 years by using the times of maximum light obtained from our data and collected from the literatures. The O − C (Observed minus Calculated) timing diagram shows a combination of a downward parabolic variation with a period decreasing rate of (1/P)dP/dt = −4.22 × 10−6 year−1 and a cyclic change with a period of about 2780 days. The most probable explanation for this cyclic variation is the light-travel-time effect caused by an unknown binary companion, which has a minimum mass of 0.69 M. V1162 Ori is the first δ Sct-type pulsating star of which the observed fast period decrease can be interpreted as an evolutionary effect of a pre-main sequence star, considering its membership of the Orion OB 1c association.

SPH을 활용한 3차원 비선형 파랑모형 개발 (Development of 3-D Nonlinear Wave Driver Using SPH)

  • 조용준;김권수
    • 대한토목학회논문집
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    • 제28권5B호
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    • pp.559-573
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    • 2008
  • Navier-Stokes식, Gaussian 분포형 용출함수를 이용한 내부조파, energy absorbing layer로 삼차원 파랑모형을 새롭게 구성하였다. Navier-Stokes식의 수치적분에는 정교한 수치기법인 SPH(Smoothed Particle Hydrodynamics)가 활용된다. 제안된 파랑모형의 검증은 삼차원 포물형 용기에서의 sloshing현상과 Thacker(1981)의 해석해를 토대로 수행되었다. 초기 수면 형상이 Gaussian hump인 경우와 일방향으로 경사진 경우에 대해 수치모의 하였다. 수치모의 결과 수면이 융기되도록 구속한 외부조건이 해제되면서 시작되는 자유진동의 정성적 거동은 비교적 정확히 모의되었으나 시간이 경과될수록 위상차, 침수선이 퇴각하는 등 초기 수면과는 상당히 다른 결과를 보였다. 최종적인 검증은 쐐기모양 해안에서의 비선형 천수, 굴절거동의 수치모의를 토대로 진행되었다. 수치모의 결과 굴절되는 양이 Hamiltonian ray theory가 제공하는 수치보다 전반적으로 작게 나타났다. 이러한 현상은 이상유체와 선형 이론에 기초한 Hamiltonian ray theory에서 간과된 비선형성, 점성으로 인한 양안과 저면에서의 에너지 감쇄, 쇄파 과정에 유동계에 도입되는 에너지 감쇄, 선행파랑에 의한 down-rush와 조우시 발생하는 도수 등에 기인하는 것으로 판단된다.