• 제목/요약/키워드: Dynamic boundary condition

검색결과 350건 처리시간 0.026초

Nonlocal strain gradient-based vibration analysis of embedded curved porous piezoelectric nano-beams in thermal environment

  • Ebrahimi, Farzad;Daman, Mohsen;Jafari, Ali
    • Smart Structures and Systems
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    • 제20권6호
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    • pp.709-728
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    • 2017
  • This disquisition proposes a nonlocal strain gradient beam theory for thermo-mechanical dynamic characteristics of embedded smart shear deformable curved piezoelectric nanobeams made of porous electro-elastic functionally graded materials by using an analytical method. Electro-elastic properties of embedded curved porous FG nanobeam are assumed to be temperature-dependent and vary through the thickness direction of beam according to the power-law which is modified to approximate material properties for even distributions of porosities. It is perceived that during manufacturing of functionally graded materials (FGMs) porosities and micro-voids can be occurred inside the material. Since variation of pores along the thickness direction influences the mechanical and physical properties, so in this study thermo-mechanical vibration analysis of curve FG piezoelectric nanobeam by considering the effect of these imperfections is performed. Nonlocal strain gradient elasticity theory is utilized to consider the size effects in which the stress for not only the nonlocal stress field but also the strain gradients stress field. The governing equations and related boundary condition of embedded smart curved porous FG nanobeam subjected to thermal and electric field are derived via the energy method based on Timoshenko beam theory. An analytical Navier solution procedure is utilized to achieve the natural frequencies of porous FG curved piezoelectric nanobeam resting on Winkler and Pasternak foundation. The results for simpler states are confirmed with known data in the literature. The effects of various parameters such as nonlocality parameter, electric voltage, coefficient of porosity, elastic foundation parameters, thermal effect, gradient index, strain gradient, elastic opening angle and slenderness ratio on the natural frequency of embedded curved FG porous piezoelectric nanobeam are successfully discussed. It is concluded that these parameters play important roles on the dynamic behavior of porous FG curved nanobeam. Presented numerical results can serve as benchmarks for future analyses of curve FG nanobeam with porosity phases.

하전 입자의 비구형 응집 성장에 대한 수치적 연구 (Numerical Simulation far the Non-Spherical Aggregation of Charged Particles)

  • 박형호;김상수;장혁상
    • 대한기계학회논문집B
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    • 제26권2호
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    • pp.227-237
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    • 2002
  • A numerical technique for simulating the aggregation of charged particles was presented with a Brownian dynamic simulation in the free molecular regime. The Langevin equation was used for tracking each particle making up an aggregate. A periodic boundary condition was used for calculation of the aggregation process in each cell with 500 primary particles of 16 nm in diameter. We considered the thermal force and the electrostatic force for the calculation of the particle motion. The electrostatic force on a particle in the simulation cell was considered as a sum of electrostatic forces from other particles in the original cell and its replicate cells. We assumed that the electric charges accumulated on an aggregate were located on its center of mass, and aggregates were only charged with pre-charged primary particles. The morphological shape of aggregates was described in terms of the fractal dimension. In the simulation, the fractal dimension for the uncharged aggregate was D$\_$f/ = 1.761. The fractal dimension changed slightly for the various amounts of bipolar charge. However, in case of unipolar charge, the fractal dimension decreased from 1.641 to 1.537 with the increase of the average number of charges on the particles from 0.2 to 0.3 in initial states. In the bipolar charge state, the average sizes of aggregates were larger than that of the uncharged state in the early and middle stages of aggregation process, but were almost the same as the case of the uncharged state in the final stage. On the other hand, in the unipolar charge state, the average size of aggregates and the dispersion of particle volume decreased with the increasing of the charge quantities.

박용엔진 크랭크 핀 베어링의 형상오차가 최소유막두께에 미치는 영향 (Effect of Roundness Error of a Crank Pin Bearing for a Marine Engine on the Minimum Film Thickness)

  • 하양협;신인동;이상민;이승준;이득우
    • Tribology and Lubricants
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    • 제27권5호
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    • pp.256-263
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    • 2011
  • Bearings of marine engines are operated under severe conditions because of dynamic load and low sliding speed. This paper deals with lubrication analysis of a crank pin bearing for a marine diesel engine. Journal center locus and oil film thickness are compared of crank pin bearing. In the past researches, journal bearings have been studied only about the surface of bearing. In addition to this conventional research, this paper analyzes the effect of roundness error of a journal and a bearing on the minimum film thickness. Numerical analysis has been studied by using Reynolds equation and also Half-Sommerfeld condition is applied as boundary condition. Futhermore, this study investigates the effect of roundness error change on the minimum film thickness. The results demonstrate that the bigger amplitude of roundness error yields, the lower minimum oil film thickness is. In comparison to previous research considered a journal and a bearing individually, the results considering a journal and a bearing together show that amplitude of roundness error of journal has very little effect on the minimum oil film thickness.

CONSEQUENCE OF BACKWARD EULER AND CRANK-NICOLSOM TECHNIQUES IN THE FINITE ELEMENT MODEL FOR THE NUMERICAL SOLUTION OF VARIABLY SATURATED FLOW PROBLEMS

  • ISLAM, M.S.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제19권2호
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    • pp.197-215
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    • 2015
  • Modeling water flow in variably saturated, porous media is important in many branches of science and engineering. Highly nonlinear relationships between water content and hydraulic conductivity and soil-water pressure result in very steep wetting fronts causing numerical problems. These include poor efficiency when modeling water infiltration into very dry porous media, and numerical oscillation near a steep wetting front. A one-dimensional finite element formulation is developed for the numerical simulation of variably saturated flow systems. First order backward Euler implicit and second order Crank-Nicolson time discretization schemes are adopted as a solution strategy in this formulation based on Picard and Newton iterative techniques. Five examples are used to investigate the numerical performance of two approaches and the different factors are highlighted that can affect their convergence and efficiency. The first test case deals with sharp moisture front that infiltrates into the soil column. It shows the capability of providing a mass-conservative behavior. Saturated conditions are not developed in the second test case. Involving of dry initial condition and steep wetting front are the main numerical complexity of the third test example. Fourth test case is a rapid infiltration of water from the surface, followed by a period of redistribution of the water due to the dynamic boundary condition. The last one-dimensional test case involves flow into a layered soil with variable initial conditions. The numerical results indicate that the Crank-Nicolson scheme is inefficient compared to fully implicit backward Euler scheme for the layered soil problem but offers same accuracy for the other homogeneous soil cases.

Dynamic-Voltage/Frequency-Scaling 알고리즘에서의 다중 인가 전압 조절 시스템 용 High-speed CMOS Level-Up/Down Shifter (A Novel High-speed CMOS Level-Up/Down Shifter Design for Dynamic-Voltage/Frequency-Scaling Algorithm)

  • 임지훈;하종찬;위재경;문규
    • 대한전자공학회논문지SD
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    • 제43권6호
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    • pp.9-17
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    • 2006
  • SoC(System-On-Chip) 시스템에서 초 저전력 시스템을 구현하기 위한 dynamic voltage and frequency scaling (DVFS)알고리즘에 사용될 시스템 버스의 다중 코어 전압 레벨을 생성해주는 새로운 다계층(multi-level) 코어 전압용 high-speed level up/down Shifter 회로를 제안한다. 이 회로는 내부 회로군과 외부 회로군 사이에서 서로 다른 전압레벨을 조정 접속하는 I/O용 level up/down shifter interface 회로로도 동시에 사용된다. 제안하는 회로는 인터페이스 접속에서 불가피하게 발생하는 속도감쇄와 Duty Ratio 불안정 문제를 최소화하는 장점을 갖고 있다. 본 회로는 500MHz의 입력 주파수에서 $0.6V\sim1.6V$의 다중 코어 전압을 각 IP들에서 사용되는 전압레벨로, 또는 그 반대의 동작으로 서로 Up/Down 하도록 설계하였다 그리고 제안하는 I/O 용 회로의 level up shifter는 500MHz의 입력 주파수에서 내부 코어 용 level up shifter의 출력전압인 1.6V를 I/O 전압인 1.8V, 2.5V, 3.3V로 전압레벨을 상승 하도록 설계하였으며, level down shifter는 반대의 동작으로 1Ghz의 입력 주파수에서 동작하도록 설계하였다. 시뮬레이션 및 결과는 $0.35{\mu}m$ CMOS Process, $0.13{\mu}m$ IBM CMOS Process 와 65nm CMOS model 변수를 이용한 Hspice를 통하여 검증하였다. 또한, 제안하는 회로의 지연시간 및 파워소모 분석과 동작 주파수에 비례한 출력 전압의 Duty ratio 왜곡에 대한 연구도 하였다.

3차원 수치 모델을 이용한 건조사질토 지반-말뚝-구조물 동적 상호작용의 매개변수 연구 (Parametric Study of Dynamic Soil-pile-structure Interaction in Dry Sand by 3D Numerical Model)

  • 권선용;유민택
    • 한국지반공학회논문집
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    • 제32권9호
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    • pp.51-62
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    • 2016
  • 다양한 현장 조건에서 일어날 수 있는 건조토 지반-말뚝-구조물 시스템의 동적거동을 평가하고 고찰하기 위해 3차원 수치 모델을 이용한 매개변수 연구가 수행되었다. 강진 시 지반의 비선형 거동을 적절하게 모사하기 위해 상용 유한 차분 프로그램인 FLAC3D를 통해 시간 영역에서 이루어졌다. 지반 구성 모델은 Mohr-Coulomb 탄소성 모델을 적용하였으며 지반 전단 탄성 계수의 비선형적인 감소를 모사할 수 있는 이력 감쇠 모델을 적용하였다. 진동 시 지반-말뚝 간의 완전 접촉, 미끄러짐, 분리 현상을 모두 모사하는 경계요소 모델을 적용하였으며 경계 조건의 경우, 지반-말뚝 상호작용의 영향을 받는 근역 지반만 메쉬를 생성하고 근역 지반의 경계부에 원역 지반의 가속도-시간 이력을 입력하는 방식인 단순화 연속체 모델링 기법을 적용함으로써 해석 효율을 증가시키고자 하였다. 또한, 적절한 최대지반탄성계수와 항복 깊이의 설정으로 지반의 비선형 거동을 더욱 정확히 모사하고자 하였다. 개발된 수치 모델을 이용하여 상부질량의 크기, 말뚝의 길이, 두부 경계조건, 지반의 상대밀도에 대한 매개변수 연구를 수행함으로써 다양한 현장 조건에 대한 지반-말뚝-구조물 시스템의 동적 거동을 평가하였다. 매개변수 연구 결과, 건조토 지반 조건에서는 상부질량에 의한 관성력이 시스템의 동적 거동에 지배적인 영향을 미침을 확인하였으며 지반에 의한 운동력의 영향은 상대적으로 적다고 평가되었다. 또한 짧은 말뚝과 긴 말뚝의 동적 거동 차이 및 말뚝두부 고정단과 자유단의 거동 차이를 해석적으로 검증하였다.

도시철도 침목플로팅궤도 분기기 망간크로싱의 손상해석 (Damage Analysis of Manganese Crossings for Turnout System of Sleeper Floating Tracks on Urban Transit)

  • 최정열;윤영선;안대희;한재민;정지승
    • 문화기술의 융합
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    • 제8권5호
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    • pp.515-524
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    • 2022
  • 도시철도 침목플로팅궤도(STEDEF)의 분기기는 콘크리트 도상에 매입된 목침목과 침목 하부의 침목방진패드로 구성된 방진궤도로서 침목방진패드의 열화 및 이에 따른 스프링강성의 변화가 침목지지조건의 변화를 초래할 수 있다. 현재 약 21년의 공용기간 동안 발생된 망간크로싱의 손상수량은 전체 부설수량 대비 약 17%로 조사되었으며, 사용 기간 15년 이후(누적통과톤수 약 5.5억톤)부터 손상 물량이 증가하는 것으로 분석되었다. 본 연구에서는 실물 망간크로싱과 차륜의 형상을 모사한 3차원 수치모델을 이용한 매개변수 해석(차륜의 위치, 침목지지조건 및 동적 윤중의 크기)을 수행하여 실제 현장에서 발생된 망간크로싱의 손상유형 및 발생원인을 분석하였다. 연구결과, 노즈부 주변 침목에 뜬침목이 발생된 경우, 설계 궤도충격계수가 적용된 동적윤중 작용 시 노즈부 단면의 발생응력이 항복강도를 초과하였으며, 이는 실제 현장에서 발생된 손상위치와 비교적 잘 일치하는 것으로 분석되었다. 따라서 망간크로싱의 손상을 최소화하기 위해서는 노즈부 주변의 침목지지조건을 일정한 수준으로 유지하고, 손상된 망간크로싱 교체 시에는 침목 하부 경계조건의 균일성 확보를 위해 침목방진패드를 함께 교체하는 것이 바람직할 것으로 분석되었다.

건조 모래지반의 상대밀도에 따른 무리말뚝의 동적거동특성 (Dynamic Behavior Characteristics of Group Piles with Relative Density in Sandy Soil)

  • 김흥태;강홍식;정구식;안광국
    • 한국지반환경공학회 논문집
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    • 제24권9호
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    • pp.33-40
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    • 2023
  • 지진 시 상부구조물을 지지하는 말뚝기초에 가해지는 수평 하중은 상부구조물의 관성력과 지반의 운동력으로 구분된다. 상부구조물의 관성력과 지반의 운동력은 서로 다른 복잡한 메커니즘을 통해 말뚝기초에 피해를 입힐 수 있기 때문에 지반-말뚝-구조물의 상호작용을 적절히 예측하고 평가하는 것이 말뚝기초의 안전한 내진설계를 위해 필요하다. 지반-말뚝-구조물의 상호작용은 구조물의 동적특성, 말뚝의 길이, 두부 경계조건 및 지반의 상대밀도에 영향을 받는다. 지반의 상대밀도가 달라지면 그에 따른 구속압 및 지반 강성이 변화하며 결과적으로 지반반력계수도 각 시스템에 따라 달라지게 된다. 말뚝기초의 수평방향 지지거동 및 극한 지지력은 수평방향 하중조건 및 모래지반의 상대밀도에 따라 다르게 나타난다. 이에 본 연구에서는 건조된 모래지반의 상대밀도가 상부구조물을 지지하는 무리말뚝의 동적거동에 미치는 영향을 확인하기 위해 1g 진동대 모형실험을 수행하였다. 그 결과 상대밀도가 증가함에 따라 상부구조물의 가속도는 증가하고 말뚝캡의 가속도는 감소하는 것으로 확인되었으며, 말뚝의 p-y 곡선의 기울기는 감소하는 것으로 확인되었다.

Using frequency response function and wave propagation for locating damage in plates

  • Quek, Ser-Tong;Tua, Puat-Siong
    • Smart Structures and Systems
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    • 제4권3호
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    • pp.343-365
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    • 2008
  • In this study, the frequency domain method which utilizes the evaluation of changes in the structural mode shape is adopted to identify regions which contain localized damages. Frequency response function (FRF) values corresponding to the modal frequency, analogous to the mode shape coefficients, are used since change in natural frequency of the system is usually insignificant for localized damage. This method requires only few sensors to obtain the dynamic response of the structure at specific locations to determine the FRF via fast-Fourier transform (FFT). Numerical examples of an aluminum plate, which includes damages of varying severity, locations and combinations of multiple locations, are presented to demonstrate the feasibility of the method. An experimental verification of the method is also done using an aluminum plate with two different degrees of damage, namely a half-through notch and a through notch. The inconsistency in attaining the FRF values for practical applications due to varying impact load may be overcome via statistical averaging, although large variations in the loading in terms of the contact duration should still be avoided. Nonetheless, this method needs special attention when the damages induce notable changes in the modal frequency, such as when the damages are of high severity or cover more extensive area or near the boundary where the support condition is modified. This is largely due to the significant decrease in the frequency term compared to the increase in the vibration amplitude. For practical reasons such as the use of limited number of sensors and to facilitate automation, extending the resolution of this method of identification may not be efficient. Hence, methods based on wave propagation can be employed as a complement on the isolated region to provide an accurate localization as well as to trace the geometry of the damage.

도시지역 공중화분 농도와 기상조건과의 관계 (Relationship between Pollen Concentration and Meteorological Condition in an Urban Area)

  • 오인보;김양호;최기룡;이지호
    • 한국대기환경학회지
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    • 제29권6호
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    • pp.780-788
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    • 2013
  • This study attempted to determine important meteorological parameters related to airborne pollen concentrations in urban areas. Hourly pollen measurement data were prepared from a regular sampling with a volumetric Burkard spore trap at a site in the Ulsan city, during the spring season (March~May) of 2011. Results showed that the daily mean and maximum concentrations for total pollen counts during the spring season were statistically significantly correlated with both air temperature and wind speed; daily mean pollen concentration was the most highly related to daily maximum temperature (r=0.567, p<0.001). It was also identified that pollen concentration has a stronger relationship with wind speed at the rural site than at the urban one, which confirms that strong wind conditions over the pollen sources area can be favorable for pollen dispersal, resulting in increases in airborne pollen concentrations downwind. From the results of an oak-pollen episode analysis, it was found that there was a significant relationship between hourly variation of oak pollen concentrations and dynamic meteorological factors, such as wind and mixing height (representing the boundary layer depth); especially, a strong southwestern wind and elevated mixing height was associated with high nocturnal concentrations of oak pollen. This study suggests that temperature, wind, and mixing height can be important considerations in explaining the pollen concentration variations. Additional examination of complex interactions of multiple meteorological parameters affecting pollen behavior should be carried out in order to better understand and predict the temporal and spatial pollen distribution in urban areas.