• 제목/요약/키워드: Semi-analytic method

검색결과 75건 처리시간 0.025초

Vibration analysis of FG porous rectangular plates reinforced by graphene platelets

  • Zhou, Changlin;Zhang, Zhongxian;Zhang, Ji;Fang, Yuan;Tahouneh, Vahid
    • Steel and Composite Structures
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    • 제34권2호
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    • pp.215-226
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    • 2020
  • The aim of this study is to investigate free vibration of functionally graded porous nanocomposite rectangular plates where the internal pores and graphene platelets (GPLs) are distributed in the matrix either uniformly or non-uniformly according to three different patterns. The elastic properties of the nanocomposite are obtained by employing Halpin-Tsai micromechanics model. The GPL-reinforced plate is modeled using a semi-analytic approach composed of generalized differential quadrature method (GDQM) and series solution adopted to solve the equations of motion. The proposed rectangular plates have two opposite edges simply supported, while all possible combinations of free, simply supported and clamped boundary conditions are applied to the other two edges. The 2-D differential quadrature method as an efficient and accurate numerical tool is used to discretize the governing equations and to implement the boundary conditions. The convergence of the method is demonstrated and to validate the results, comparisons are made between the present results and those reported by well-known references for special cases treated before, have confirmed accuracy and efficiency of the present approach. New results reveal the importance of porosity coefficient, porosity distribution, graphene platelets (GPLs) distribution, geometrical and boundary conditions on vibration behavior of porous nanocomposite plates. It is observed that the maximum vibration frequency obtained in the case of symmetric porosity and GPL distribution, while the minimum vibration frequency is obtained using uniform porosity distribution.

Vibration analysis of sandwich sector plate with porous core and functionally graded wavy carbon nanotube-reinforced layers

  • Feng, Hongwei;Shen, Daoming;Tahouneh, Vahid
    • Steel and Composite Structures
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    • 제37권6호
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    • pp.711-731
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    • 2020
  • This paper deals with free vibration of FG sandwich annular sector plates on Pasternak elastic foundation with different boundary conditions, based on the three-dimensional theory of elasticity. The plates with simply supported radial edges and arbitrary boundary conditions on their circular edges are considered. The influence of carbon nanotubes (CNTs) waviness, aspect ratio, internal pores and graphene platelets (GPLs) on the vibrational behavior of functionally graded nanocomposite sandwich plates is investigated in this research work. The distributions of CNTs are considered functionally graded (FG) or uniform along the thickness of upper and bottom layers of the sandwich sectorial plates and their mechanical properties are estimated by an extended rule of mixture. In this study, the classical theory concerning the mechanical efficiency of a matrix embedding finite length fibers has been modified by introducing the tube-to-tube random contact, which explicitly accounts for the progressive reduction of the tubes' effective aspect ratio as the filler content increases. The core of structure is porous and the internal pores and graphene platelets (GPLs) are distributed in the matrix of core either uniformly or non-uniformly according to three different patterns. The elastic properties of the nanocomposite are obtained by employing Halpin-Tsai micromechanics model. A semi-analytic approach composed of 2D-Generalized Differential Quadrature Method (2D-GDQM) and series solution is adopted to solve the equations of motion. The fast rate of convergence and accuracy of the method are investigated through the different solved examples. Some new results for the natural frequencies of the plate are prepared, which include the effects of elastic coefficients of foundation, boundary conditions, material and geometrical parameters. The new results can be used as benchmark solutions for future researches.

AHP법을 이용한 연안여객선 지간선 체계 구축 권역 및 항로 평가 (Evaluation of Areas and Routes for Construction of a Hub & Spork System for Costal Passenger Ships Using the AHP Method)

  • 장운재
    • 해양환경안전학회지
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    • 제23권1호
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    • pp.33-39
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    • 2017
  • 본 연구에서는 연안여객선의 지간선 체계 구축 사업의 추진을 위한 권역 및 항로를 선정 평가하고자 하였다. 이를 위해 먼저 타 교통수단의 위계형성 구조 및 연안여객선 운영체계의 특성을 분석하여 구축 대상권역 및 대상항로 선정을 위한 평가항목을 추출한다. 두번째는 전문가 설문조사를 통해 구축 대상권역 및 대상항로의 평가항목에 대하여 AHP기법을 이용하여 중요도를 산출한다. 마지막으로 평가항목에 대한 중요도와 대상권역 및 항로를 종합평가하여 최종 후보권역 및 항로를 선정하고자 한다. 그 결과 대상권역은 항로수, 여객수송실적, 차량수송실적, 도서민수 등 4개의 평가항목이 추출되었고, 이들 항목으로 평가한 결과 목포권역이 선정되었다. 또한 도서민, 지자체, 지역적 여건, 여객선 사업자 등 4개의 평가항목으로 평가한 결과 영광권 항로가 선정되었다. 한편 확대시행을 위해서는 터미널 시설확충, 대형 선박의 확보 및 (준)공영제 도입등과 함께 단계적인 추진이 필요하다.

관통보와 평판의 연결 구조물에 대한 진동인텐시티 해석 (Vibration Intensity Analysis of Penetration Beam-plate Coupled Structures)

  • 홍석윤;강연식
    • 한국음향학회지
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    • 제21권1호
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    • pp.73-81
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    • 2002
  • 본 논문에서는 중고주파영역에서의 진동해석기법인 파워흐름해석 법을 보와 평판이 연성된 구조물에 적용하기 위하여 무한보가 무한평판을 수직으로 투과하는 구조물에서의 파워투과반사계수를 파동전달법을 이용하여 구하였다. 이러한 파워투과반사계수를 실제 구조물에 적용하기 위해서는 파워흐름유한요소법으로의 활용이 필요하다. 이를 위해 본 논문에서는 파워투과반사계수를 이용하여 보 평판구조물을 위한 연결요소행렬식을 정립하였으며, 또한 보와 평판요소를 각각 해석할 수 있는 파워흐름유한요소해석 프로그램을 구성하고, 여기에 정립된 보와 평판간의 연결요소 행렬식을 대입하여 보와 평판이 연성된 구조물까지 해석이 가능한 프로그램으로 개발하였다. 이 프로그램을 이용하여 이상화한 선박의 선미부 구조물을 해석한 결과, 선박구조물에서 진동에너지분포를 구할 수 있었고, 진동 인텐시티를 통하여 구조물에서의 파워전달경로를 예측할 수 있었다.

선형행렬부등식 기반의 모델예측 제어기법을 이용한 재형상 제어 (Reconfiguration Control Using LMI-based Constrained MPC)

  • 오현동;민병문;김태훈;탁민제;이장호;김응태
    • 한국항공우주학회지
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    • 제38권1호
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    • pp.35-41
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    • 2010
  • 최근의 항공기 개발에 있어 조종면을 복수 개로 분할하여 제어함으로써 예기치 못한 결함 발생 시 안전성 및 생존성을 향상 시킬 수 있는 재형상 제어에 관한 연구가 중요하게 대두되어 왔다. 본 논문은 조종면 결함 시 발생 가능한 조종면의 포화를 고려한 모델예측 제어기법을 이용한 재형상 제어를 다룬다. 모델예측 제어의 내부 모델로는 트림 조건에서 선형화된 운동방정식을 사용하며 조종면의 포화가 발생할 경우에 선형행렬부등식 기반의 반한정 프로그래밍을 이용한 최적화를 수행하며 그 외의 경우에는 모델예측 제어기법을 풀어서 구한 해석적인 해를 사용하는 제어기 구조를 제안한다. 제안된 알고리즘의 성능을 확인하기 위해 임의의 조종면 결함 상황에 대한 비선형 시뮬레이션을 수행하였다.

축방향 인장력을 받는 더블 앵글 접합부의 단순모형에 관한 연구 (A Study on Simplified Model of Double Angle Connections Subjected to Axial Loads)

  • 홍갑표;양재근;이수권;송병주
    • 한국강구조학회 논문집
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    • 제12권1호통권44호
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    • pp.75-82
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    • 2000
  • 현재 접합부에 대한 연구가 활발하게 이루어지고 있다. 구조물의 설계에서는 접합부를 강접합 또는 핀접합으로 가정하여 설계를 하고 있으나, 실제 접합부의 거동은 완전한 강접합도 핀접합도 아닌 반강접의 특성을 보이고 있다. 본 연구에서는 이러한 반강접의 분야 중 더블앵글에 의한 접합부의 거동을 파악하고자 한다. 중 저층 건물에서 가새의 지지능력을 상실하거나, 갑작스럽게 발생할지 모르는 축방향 인장력에 대한 더블앵글의 거동을 상용유한요소해석 프로그램인 ABAQUS를 이용하여 3D 비선형 해석을 수행하였다. 3D 해석결과를 이용하여 더블앵글 접합부를 단순화한 앵글모델로 유도한 후 앵글의 코너에서의 회전강성을 찾아내어 더블앵글 접합부에 대한 설계 기초자료로 제시하였다.

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초등학교 과학과 지질 단원 교수-학습 활동에서 교사와 학생이 겪는 어려움 (The Analysis of the Teachers' and Students' Views about the Difficulties within Teaching & Learning Activity on Geology Units in Elementary School Science)

  • 위수민;곽정실;조현준;김현정
    • 한국초등과학교육학회지:초등과학교육
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    • 제27권4호
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    • pp.420-436
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    • 2008
  • The purpose of this study was to investigate and analysis the elementary teachers' and students' views about the difficulties in teaching and learning in geology units of elementary school science. For the purpose of this study, semi-structured interviews were conducted individually with seventeen elementary teachers who have serviced more than three years, and with sixteen elementary students located in Cheongju City. The interview questions were developed through Seidman's step to acquire a reliability in the interview data with triangulation, then in-depth interview questions were modified and completed through pre-interview after constructing the trustworthiness of interviewees. In-depth interviews were performed in applying the analytic induction method and the interviews were recorded. From the interviews, we found that elementary teachers' views about the difficulties in teaching geology units; teachers' inner difficulties, the difficulty of lab activities, the problems of rock samples, the problems of curriculum in geology units, the difficulty of the geological feature, the problems of the cramming education, the lack of the opportunity for the speciality, and so on. And the students have the views about the difficulties in learning geology units; the difficulty of the unit contents understanding, the problems of learning by heart, the lack of the interest, the lack of materials, the problems of rock samples, the difficulty of the field learning, and so on. Based on the results, the study suggested that an interesting lab activities should be included in the geology units and taught in the geological field trip to help elementary school students more fully comprehend contents of the geology units.

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Destruction of Giant Molecular Clouds by UV Radiation Feedback from Massive Stars

  • 김정규;김웅태
    • 천문학회보
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    • 제43권1호
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    • pp.43.1-43.1
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    • 2018
  • Star formation in galaxies predominantly takes place in giant molecular clouds (GMCs). While it is widely believed that UV radiation feedback from young massive stars can destroy natal GMCs by exciting HII regions and driving their expansion, our understanding on how this actually occurs remains incomplete. To quantitatively assess the effect of UV radiation feedback on cloud disruption, we conduct a series of theoretical studies on the dynamics of HII regions and its role in controlling the star formation efficiency (SFE) and lifetime of GMCs in a wide range of star-forming environments. We first develop a semi-analytic model for the expansion of spherical dusty HII regions driven by the combination of gas and radiation pressures, finding that GMCs in normal disk galaxies are destroyed by gas-pressure driven expansion with SFE < 10%, while more dense and massive clouds with higher SFE are disrupted primarily by radiation pressure. Next, we turn to radiation hydrodynamic simulations of GMC dispersal to allow for self-consistent star formation as well as inhomogeneous density and velocity structures arising from supersonic turbulence. For this, we develop an efficient parallel algorithm for ray tracing method, which enables us to probe a range of cloud masses and sizes. Our parameter study shows that the net SFE, lifetime (measured in units of free-fall time), and the importance of radiation pressure (relative to photoionization) increase primarily with the initial surface density of the cloud. Unlike in the idealized spherical model, we find that the dominant mass loss mechanism is photoevaporation rather than dynamical ejection and that a significant fraction of radiation escapes through low optical-depth channels. We will discuss the astronomical.

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A Study on Re-entry Predictions of Uncontrolled Space Objects for Space Situational Awareness

  • Choi, Eun-Jung;Cho, Sungki;Lee, Deok-Jin;Kim, Siwoo;Jo, Jung Hyun
    • Journal of Astronomy and Space Sciences
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    • 제34권4호
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    • pp.289-302
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    • 2017
  • The key risk analysis technologies for the re-entry of space objects into Earth's atmosphere are divided into four categories: cataloguing and databases of the re-entry of space objects, lifetime and re-entry trajectory predictions, break-up models after re-entry and multiple debris distribution predictions, and ground impact probability models. In this study, we focused on reentry prediction, including orbital lifetime assessments, for space situational awareness systems. Re-entry predictions are very difficult and are affected by various sources of uncertainty. In particular, during uncontrolled re-entry, large spacecraft may break into several pieces of debris, and the surviving fragments can be a significant hazard for persons and properties on the ground. In recent years, specific methods and procedures have been developed to provide clear information for predicting and analyzing the re-entry of space objects and for ground-risk assessments. Representative tools include object reentry survival analysis tool (ORSAT) and debris assessment software (DAS) developed by National Aeronautics and Space Administration (NASA), spacecraft atmospheric re-entry and aerothermal break-up (SCARAB) and debris risk assessment and mitigation analysis (DRAMA) developed by European Space Agency (ESA), and semi-analytic tool for end of life analysis (STELA) developed by Centre National d'Etudes Spatiales (CNES). In this study, various surveys of existing re-entry space objects are reviewed, and an efficient re-entry prediction technique is suggested based on STELA, the life-cycle analysis tool for satellites, and DRAMA, a re-entry analysis tool. To verify the proposed method, the re-entry of the Tiangong-1 Space Lab, which is expected to re-enter Earth's atmosphere shortly, was simulated. Eventually, these results will provide a basis for space situational awareness risk analyses of the re-entry of space objects.

점성을 고려한 2차원 비선형 자유표면파 문제의 수치해석 (Numeric Analysis of 2-Dimensional Nonlinear Viscous Free-Surface Wave Problems)

  • 김용환
    • 대한조선학회논문집
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    • 제30권2호
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    • pp.98-111
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    • 1993
  • 2차원 비정상 비선형 자유표면파를 해석하고 자유표면파에서의 점성효과를 관찰하였다. 유동장내의 Navier-Stokes 방정식과 연속방정식을 풀기 위해 유한해석법을 적용하였고, 자유표면의 처리를 위해 MAC 기법을 적용하였다. 그리고, 자유표면에서는 표면장력을 고려한 경계조건을 적용하였으며, 층류에 대한 점성효과만을 고려하였다. 계산모델은 천수역에서의 점성영향, 자유표면 근처에서의 보오텍스 쌍(vortex-pair)의 거동 및 전진하는 부유체 앞에서의 자유표면파문제 등이다. 천수역문제에서는 바닥과의 마찰에 기인한 자유표면파의 변화를 고찰하였으며, 특히 고립파에 대한 적용으로서 파고의 감소정도, 수직벽면에서의 파상승(wave run-up) 및 수심의 변화로 인한 유장변화 등을 살펴보았다. 보오텍스 문제에서는 보오텍스의 이동에 따른 자유표면주위의 유동변화를 관찰하였으며, 사각부유체 주위의 유동문제에서는 전진속도의 차이에 따른 자유표면파의 차이 및 물체주위의 유동특성을 관찰하였다.

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