• Structural Engineering and Mechanics
• /
• 제62권1호
• /
• pp.65-77
• /
• 2017

The free vibration analysis of fluid conveying Timoshenko pipeline with different boundary conditions using Differential Transform Method (DTM) and Adomian Decomposition Method (ADM) has not been investigated by any of the studies in open literature so far. Natural frequencies, modes and critical fluid velocity of the pipelines on different supports are analyzed based on Timoshenko model by using DTM and ADM in this study. At first, the governing differential equations of motion of fluid conveying Timoshenko pipeline in free vibration are derived. Parameter for the nondimensionalized multiplication factor for the fluid velocity is incorporated into the equations of motion in order to investigate its effects on the natural frequencies. For solution, the terms are found directly from the analytical solution of the differential equation that describes the deformations of the cross-section according to Timoshenko beam theory. After the analytical solution, the efficient and easy mathematical techniques called DTM and ADM are used to solve the governing differential equations of the motion, respectively. The calculated natural frequencies of fluid conveying Timoshenko pipelines with various combinations of boundary conditions using DTM and ADM are tabulated in several tables and figures and are compared with the results of Analytical Method (ANM) where a very good agreement is observed. Finally, the critical fluid velocities are calculated for different boundary conditions and the first five mode shapes are presented in graphs.

• 대한의용생체공학회:의공학회지
• /
• 제19권1호
• /
• pp.9-18
• /
• 1998

본 논문은 초음파 의용 영상에서 인체내의 매질의 초음파 속도의 불균일에 의한 focusing의 저하에 대하여 논하였다. simulation환경으로, 인체 내의 매질 중 속도 값이 가장 큰 차이가 나는 지방(fat)을 일정한 두께로 모델링하였다. 그리고 초음파 빔의 굴절에 의한 진행경로의 변화와 속도차이에 따른 시간지연에 의한 해상도 저하를 구하였다. 그리고 이를 보상하는 방법으로, 보상에 계산량이 많이 필요한 굴절을 무시하고, 속도차에 의한 시간지연만 보상하는 방법을 제안하였다. 제안한 방법을 적용할 경우 현재의 실시간 디지털 focusing 시스템에서 쉽게 구현 가능하다.

• 대한기계학회논문집
• /
• 제11권6호
• /
• pp.923-934
• /
• 1987

본 연구에서는 유연한 로봇 조각기를 허브가 있는 첨단질량이 부착된 유연한 외팔보로 모델링하고 Hamilton의 원리에 의하여 유도된 운동방정식을 Galerkin의 모우 드 합 방접을 이용하여 유한차원화하여 상태방정식으로 표시하였다. 계를 제어 모우 드부(controlled mode part)와 잔류 모우드부(residual mode part)로 나누어 제어 모 우드부에 대해 최적제어 이론을 도입하여 귀환계수(feedback ccefficient)를 구하였으 며 측정이 불가능한 상태변수(inaccessible state)를 근사적으로 추정하기 위하여 Lu- enberger 관측기가 사용되었다.2차 성능계수(quadratic performance index)내의 입 력에 대한 가중치의 변화에 따른 제어효과 및 계의 여러 모우드중 중요 모우드만 제어 하는 제어기를 사용함에 따른 Spillover 효과가 계의 제어효과에 미치는 영향을 시뮬 레이션을 통하여 고찰하였으며, 또한 실험을 통하여 이론의 타당성을 검토하였다.

• 한국소음진동공학회논문집
• /
• 제15권1호
• /
• pp.29-38
• /
• 2005

The track pull-in behavior analysis in an optical disk drive (ODD) using plane phase and the evaluations for effecting parameters of it are discussed. Track pull-in, track capture procedure to do track following control, is a key factor to increase data transfer rate. First, the relative velocity between the beam spot of an optical pick-up and the target track of an optical disk is analyzed during the track pull-in procedure. In this process, it is showed that the track error signal has nonlinear characteristics which are depending on the time. Second, Runge-Kutta method to solve the nonlinear equation is applied to find the track pull-in behavior, and some optimal parameters to get stable and fast pull-in condition are obtained. Then, the phase plane analysis for track pull-in procedure is presented. Finally, some comments for the simulated results are discussed briefly.

• 한국재료학회:학술대회논문집
• /
• 한국재료학회 2003년도 추계학술발표강연 및 논문개요집
• /
• pp.75-75
• /
• 2003

본 연구에서는 대기 중 극 미량으로 존재하는 환경 유해 가스 성분을 검출할 수 있는 미세 소자로의 응용을 위해 마이크로 칸티레버를 제작하고 가스 센서로의 활용 가능성을 검토하였다. 마이크로 칸티레버는 크게 구동층 캐패시터로서 대표적인 압전 재료인 Pb(Zr,Ti)O$_3$ (PZT)를 사용하고 SiNx 박막을 지지층으로 하는 형태로 제작되었다. 제작된 마이크로 칸티레버는 치수 및 형상에 따라 17~29 KHz 의 기본 공진 주파수 값을 나타내었다. Electron beam evaporator를 이용한 copper (Cu) 박막의 단계적인 증착을 통해 칸티 레버 표면에 질량을 증가시키고 그에 따른 마이크로 칸티레버의 공진주파수 변화를 관찰한 결과 질량 증가에 대해 34 Hz/ng의 선형적인 주파수 감소를 나타내었으며, 이로부터 694.4 $\textrm{cm}^2$/g 의 gravimetric sensitivity factor를 얼을 수 있었다. 마이크로칸티레버의 가스 감지능력 시험을 위해 가스 흡착층으로 일차 알콜류의 vapor를 흡착 하는 것으로 보고된 poly methyl metacrytate (PMMA)를 마이크로 칸티레버 표면에 코팅하였다. 마이크로칸티 레버의 기본 공진 주파수 및 PMMA 흡착층 형성과 가스의 흡착에 따른 주파수 변화는 마이크로 칸티 레버로부터 의 전기적 신호를 이용하는 복소 임피던스 분석에 의해 측정되었다. PMMA가 코팅된 마이크로 칸티레버는 ethanol 및 methanol vapor 의 농도가 증가함에 따라 선형적인 공진주파수 감소를 나타내었으며, methanol vapor 의 경우 0.06 Hz/ppm 의 가스 검출 감도를 얻을 수 있었다.

• 한국기계가공학회지
• /
• 제10권4호
• /
• pp.64-69
• /
• 2011

Magnesium alloy has been known as lightweight material in automobile and electronic industry with aluminum alloy, titanium alloy and plastic material. Friction welding is useful to join different kinds of metals and nonferrous metals they are difficult to be joined by such as gas welding, resistance welding and electronic beam welding. In this study, friction welding was performed to investigate optimization process of Mg alloy with a 20mm diameter solid bar. For that, the orthogonal array $(L_{9}(3^{4}))$ was used that contained four factors and each factor had three levels. Control factors were heating pressure, heating time, upsetting pressure and upsetting time. Also tensile tests were carried out to measure mechanical properties for welded conditions. The levels of heating pressure and upsetting pressure used were 15, 25, 35MPa, and 30, 50, 70MPa, respectively. In addition those of heating time and upsetting time were 0.5, 1, 1.5 sec and 3, 4, 5 sec., respectively, rotating speed of 2000rpm. From the experimental results, optimization condition was estimated as follows; heating pressure=35MPa, upsetting pressure=70MPa, heating time=1.5sec, upsetting time=3sec.

• Earthquakes and Structures
• /
• 제11권4호
• /
• pp.701-721
• /
• 2016

Base isolation is a well-established passive strategy for seismic response control of buildings. In this paper, an efficient framework is proposed for reliability-based design optimization (RBDO) of isolated buildings subjected to uncertain earthquakes. The framework uses reduced function evaluations method, as an efficient tool for structural reliability analysis, and an efficient optimization algorithm for optimal structural design. The probability of failure is calculated considering excessive base displacement, superstructure inter-storey drifts, member stress ratios and absolute accelerations of floors of the isolated building as failure events. The behavior of rubber bearing isolators is modeled using nonlinear hysteretic model and the variability of future earthquakes is modeled by applying a probabilistic approach. The effects of pulse component of stochastic near-fault ground motions, fixity-factor of semi-rigid beam-to-column connections, values of isolator parameters, earthquake magnitude and epicentral distance on the performance and safety of semi-rigidly connected base-isolated steel framed buildings are studied. Suitable RBDO examples are solved to illustrate the results of investigations.

• Advances in nano research
• /
• 제6권3호
• /
• pp.279-298
• /
• 2018

Present investigation deals with the free vibration characteristics of nanoscale-beams resting on elastic Pasternak's foundation based on nonlocal strain-gradient theory and a higher order hyperbolic beam model which captures shear deformation effect without using any shear correction factor. The nanobeam is lying on two-parameters elastic foundation consist of lower spring layers as well as a shear layer. Nonlocal strain gradient theory takes into account two scale parameters for modeling the small size effects of nanostructures more accurately. Hamilton's principal is utilized to derive the governing equations of embedded strain gradient nanobeam and, after that, analytical solutions are provided for simply supported conditions to solve the governing equations. The obtained results are compared with those predicted by the previous articles available in literature. Finally, the impacts of nonlocal parameter, length scale parameter, slenderness ratio, elastic medium, on vibration frequencies of nanosize beams are all evaluated.

• Advances in materials Research
• /
• 제3권2호
• /
• pp.77-89
• /
• 2014

In the present article, the thermal buckling of zigzag single-walled carbon nanotubes (SWCNTs) is studied using a nonlocal refined shear deformation beam theory and Von-Karman geometric nonlinearity. The model developed simulates both small scale effects and higher-order variation of transverse shear strain through the depth of the nanobeam. Furthermore the present formulation also accommodates stress-free boundary conditions on the top and bottom surfaces of the nanobeam. A shear correction factor, therefore, is not required. The equivalent Young's modulus and shear modulus for zigzag SWCNTs are derived using an energy-equivalent model. The present study illustrates that the thermal buckling properties of SWCNTs are strongly dependent on the scale effect and additionally on the chirality of zigzag carbon nanotube. Some illustrative examples are also presented to verify the present formulation and solutions. Good agreement is observed.

• Computers and Concrete
• /
• 제3권1호
• /
• pp.17-28
• /
• 2006

Replacement of actual stress distribution in a reinforced concrete (RC) flexural member with a simpler geometrical shape, which maintains magnitude and location of the resultant compressive force, is an acceptable conceptual trick. This concept was originally perfected for normal strength concrete. In recent years, high strength concrete (HSC) has been introduced and widely used in modern construction. The stress block parameters require updating to account for special features of HSC in the design of flexural members. In future, more varieties of concrete may be developed and a corresponding design procedure of RC flexural members will be required. The usual practice is to conduct large number of experiments on various sizes of specimen and then evolve an empirical relation. This paper presents a numerical procedure through which the stress block parameters can be numerically derived for a given strain ratio variation. The material model for concrete is presented and computational procedure is described. This procedure is illustrated with several variations of strain ratio. The advantages of numerical procedure are that it costs less and it can be used with new material models for any new variety of concrete.