• Title/Summary/Keyword: Direct Integration Method

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Domains of Attraction of a Forced Beam with Internal Resonance (내부공진을 가진 보의 흡인영역)

  • 이원경;강명란
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.9
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    • pp.1711-1721
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    • 1992
  • A nonlinear dissipative dynamical system can often have multiple attractors. In this case, it is important to study the global behavior of the system by determining the global domain of attraction of each attractor. In this paper we study the global behavior of a forced beam with two mode interaction. The governing equation of motion is reduced to two second-order nonlinear nonautonomous ordinary differential equations. When .omega. /=3.omega.$_{1}$ and .ohm.=.omega $_{1}$, the system can have two asymptotically stable steady-state periodic solutions, where .omega./ sub 1/, .omega.$_{2}$ and .ohm. denote natural frequencies of the first and second modes and the excitation frequency, respectively. Both solutions have the same period as the excitation period. Therefore each of them shows up as a period-1 solution in Poincare map. We show how interpolated mapping method can be used to determine the two four-dimensional domains of attraction of the two solutions in a very effective way. The results are compared with the ones obtained by direct numerical integration.

Postbuckling Analysis of Thin Plates under Impact Loading (충격하중을 받는 박판의 후좌굴 해석)

  • Kim, Hyeong-Yeol;Park, Sun-Kyu
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.6 no.3
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    • pp.139-149
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    • 2002
  • An explicit direct time integration method based solution algorithm is proposed to predict dynamic postbuckling response of thin plates. Based on the von Karman's plate equations and Marquerre's shallow shell theory, a rectangular plate finite element is formulated and utilized in this study. The element formulation takes into account geometrical nonlinearity and initial deflection of plates. The solution algorithm employs the central difference method. Using the computer program developed by the authors, dynamic postbuckling behavior of elastic thin plates under impact loading is investigated by considering the time variation of load and load duration. The efficiency of the proposed solution algorithm is examined through illustrative numerical examples.

A study on the method of measurement of the standing-tree volume -Particularly concerning the method of measurement of the timber volume (입목재적(立木材積) 측정법(測定法)에 관(關)한 연구(硏究) -용재수목(用材樹木)의 재적측정법(材積測定法)을 중심으로)

  • Lee, Kwang Nam
    • Journal of Korean Society of Forest Science
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    • v.3 no.1
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    • pp.28-31
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    • 1963
  • Recognizing shortcomings and unreasonable points of the usual methods of measurement of the standing-tree volume, author contrived measurement formula of standing-tree volume which is based on stem-curve equation, $y^2=2px$, resulted from the analysises and experiments on stem-curve by differentiation & integration. The results of this study are as follows ; (1) The following is the formula. $V=1/2g_{1.2}$(h+1.2) V=volume of tree $g_{1.2}$ = sectional area at breast heigh h = height of tree (2) So plain is the form of this formula that this formula is more convenient than usual formulas in measuring. (3) The percentage error of this formula is negative and it is remarkably superior to usual formulas except Pressler's formula, in other words, the higher the tree that is measured is, the more inaccurate become pressler's formula, and the percentage error of the breast-height form factor method is direct proportion to the grossness of the tree that is measured, but the higher the tree that is measured, the lower become percentage error of this formula in geometrical progression.

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Evaluation of Rectangular Section Flutter Derivatives by CFD (CFD에 의한 사각단면의 플러터계수 산출)

  • Min, Won;Lee, Yong Jae
    • Journal of Korean Society of Steel Construction
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    • v.15 no.6 s.67
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    • pp.693-700
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    • 2003
  • An evaluation method for flutter derivatives is proposed, using indicial functions of structural members produced by Computational Fluid Dynamics (CFD). Flutter derivatives are obtained by Fourier integration of indicial functions. Instead of direct simulation of oscillating objects, only the calculation of time-dependent lift and moment variations of fixed objects with constant attack angle are necessary.The Finite Element Method (FEM) is developed as a tool for the numerical method. For two rectangular sections having different aspect ratios, the numerical analysis and wind tunnel test are carried out to inspect the adequacy of this study. The results proved to be good, and they could be used for a preliminary design.

Production of Transgenic Animals by the Testis-Mediated Gene Transfer II. Production of Transgenic Korean Native Goats (정소실질내 유전자 도입에 의한 형질전환동물의 생산 II. 형질전환 한국재래산양의 생산)

  • 윤창현;장규태;김성현;박미령;주학진;오석두;이병오
    • Korean Journal of Animal Reproduction
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    • v.23 no.1
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    • pp.13-18
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    • 1999
  • The totipotential spermatogonial stem cells of adult testis which give rise to mature sperm cells is well-known to incorporate foreign DNA as well as those of somatic cells. Also, the integration rates of foreign DNA after haploid stages are generally known to decrease and /or is simply bound foreign DNA into the sperm plasma membrane. To overcome these problems, liposome and DNA complexes were used to determine how direct injection of these complexes into testis were integrated into sperm genome and resulted in transgenic offspring. To study this purpose, cation liposome was gently mixed with WAF/hGH DNA (1 : 2) and the complexes were injected into testis. At 10, 20, 40, 60, and 80 days after direct injection into testis, mature sperm cells were recovered by using artificial virgin method from two goats and each semen except a part of semen used for DNA analysis such as PCR or Southern blotting was cryopreserved for the artificial insemination. The results obtained in this study are summarized as follows. 1. By PCR, the presence of exogenous DNA was confirmed up to 80 days after injection with liposome/DNA complexes. The highest integration rates were obtained at day 40 after direct injection. This results suggested that spermatogonial stem cells were integrated exogenous DNA into their genome. 2. Among 23 Korean Native Goats which were artificially inseminated, 4 goats resulted in pregnancy and produced 7 young goats. 3. Two young goats were confirmed as a transgenic by PCR and Southern blot analysis. Therefore, our results suggested that testis-mediated gene transfer can be used as a feasible tools for the production of transgenic livestock.

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Development of Implantable Blood Pressure Sensor Using Quartz Wafer Direct Bonding and Ultrafast Laser Cutting (Quatrz 웨이퍼의 직접접합과 극초단 레이저 가공을 이용한 체내 이식형 혈압센서 개발)

  • Kim, Sung-Il;Kim, Eung-Bo;So, Sang-kyun;Choi, Jiyeon;Joung, Yeun-Ho
    • Journal of Biomedical Engineering Research
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    • v.37 no.5
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    • pp.168-177
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    • 2016
  • In this paper we present an implantable pressure sensor to measure real-time blood pressure by monitoring mechanical movement of artery. Sensor is composed of inductors (L) and capacitors (C) which are formed by microfabrication and direct bonding on two biocompatible substrates (quartz). When electrical potential is applied to the sensor, the inductors and capacitors generates a LC resonance circuit and produce characteristic resonant frequencies. Real-time variation of the resonant frequency is monitored by an external measurement system using inductive coupling. Structural and electrical simulation was performed by Computer Aided Engineering (CAE) programs, ANSYS and HFSS, to optimize geometry of sensor. Ultrafast laser (femto-second) cutting and MEMS process were executed as sensor fabrication methods with consideration of brittleness of the substrate and small radial artery size. After whole fabrication processes, we got sensors of $3mm{\times}15mm{\times}0.5mm$. Resonant frequency of the sensor was around 90 MHz at atmosphere (760 mmHg), and the sensor has good linearity without any hysteresis. Longterm (5 years) stability of the sensor was verified by thermal acceleration testing with Arrhenius model. Moreover, in-vitro cytotoxicity test was done to show biocompatiblity of the sensor and validation of real-time blood pressure measurement was verified with animal test by implant of the sensor. By integration with development of external interrogation system, the proposed sensor system will be a promising method to measure real-time blood pressure.

Static and Dynamic Analysis of Plate Structures using a High Performance Finite Element (고성능 유한요소를 이용한 평판구조물의 정적 및 동적해석)

  • Han In-Seon;Kim Sun-Hoon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.18 no.3
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    • pp.311-320
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    • 2005
  • In this paper an enhanced quadratic finite element for static and dynamic analysis of plate structures is presented. The performance of a proposed plate element is improved by the coupled use of non conforming displacement modes, the selective integration scheme, and the assumed shear strain fields. An efficient direct modification method is also applied to this element to solve the problem such as failure of the patch test due to the adoption of non conforming modes. The proposed quadratic finite element does not show any spurious mechanism and does not produce shear locking phenomena even with distorted meshes. It is shown that the results obtained by this element converged to analytical solutions very rapidly tough numerical tests for standard benchmark problems. It is also noted that this element is applicable to transient dynamic analysis of Mindlin plates.

A Study on CAD/CAE Integration for Design Optimization of Mold Cooling Problem (CAD와 유한요소해석을 연계한 금형 냉각문제의 설계최적화에 대한 연구)

  • 오동길;류동화;최주호;김준범;하덕식
    • Korean Journal of Computational Design and Engineering
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    • v.9 no.2
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    • pp.93-101
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    • 2004
  • In mechanical design, optimization procedures have mostly been implemented solely by CAE codes combined by optimization routine, in which the model is built, analyzed and optimized. In the complex geometries, however, CAD is indispensable tool for the efficient and accurate modeling. This paper presents a method to carry out optimization, in which CAD and CAE are used for modeling and analysis respectively and integrated in an optimization routine. Application Programming Interface (API) function is exploited to automate CAD modeling, which enables direct access to CAD. The advantage of this method is that the user can create very complex object in Parametric and automated way, which is impossible in CAE codes. Unigraphics and ANSYS are adopted as CAD and CAE tools. In ANSYS, automated analysis is done using codes made by a script language, APDL(ANSYS Parametric Design Language). Optimization is conducted by VisualDOC and IDESIGN respectively. As an illustrative example, a mold design problem is studied, which is to minimize temperature deviation over a diagonal line of the surface of the mold in contact with hot glass.

Stochastic dynamic instability response of piezoelectric functionally graded beams supported by elastic foundation

  • Shegokara, Niranjan L.;Lal, Achchhe
    • Advances in aircraft and spacecraft science
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    • v.3 no.4
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    • pp.471-502
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    • 2016
  • This paper presents the dynamic instability analysis of un-damped elastically supported piezoelectric functionally graded (FG) beams subjected to in-plane static and dynamic periodic thermomechanical loadings with uncertain system properties. The elastic foundation model is assumed as one parameter Pasternak foundation with Winkler cubic nonlinearity. The piezoelectric FG beam is subjected to non-uniform temperature distribution with temperature dependent material properties. The Young's modulus and Poison's ratio of ceramic, metal and piezoelectric, density of respective ceramic and metal, volume fraction exponent and foundation parameters are taken as uncertain system properties. The basic nonlinear formulation of the beam is based on higher order shear deformation theory (HSDT) with von-Karman strain kinematics. The governing deterministic static and dynamic random instability equation and regions is solved by Bolotin's approach with Newmark's time integration method combined with first order perturbation technique (FOPT). Typical numerical results in terms of the mean and standard deviation of dynamic instability analysis are presented to examine the effect of slenderness ratios, volume fraction exponents, foundation parameters, amplitude ratios, temperature increments and position of piezoelectric layers by changing the random system properties. The correctness of the present stochastic model is examined by comparing the results with direct Monte Caro simulation (MCS).

Motion Analysis of Two Point Moored Oil Tanker (2점 계류된 선박에 대한 운동 해석)

  • Lee, Ho-Young;Lim, Choon-Gyu
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2003.10a
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    • pp.232-236
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    • 2003
  • The anchor is laid on seabed and the main engine is worked to against incident environmental loads in typoon. As the main engine is broken down in the storm, the anchor chain is cutted and the vessel is drifted. Although a ship is moored by two point mooring lines to keep the her position, a ship is crashed into a rock because of typoon and the accident of oil spilling may be occured. In this paper, we studied the position-keeping of a ship which is analyized based on the slow motion maneuvering equations considering wave, current and wind. The direct integration method is employed to estimate wave loads. The current forces are calculated by using mathematical of MMG. The two point mooring forces are quasisatatically evaluated by using the catenary equation. The coefficeints of wind forces are modeled from Isherwood’s emperical data and the variation of wind speed is estimated by wind spectrum. The nonlinear motions of a two point moored ship are simulated considering wave, current, wind load in time domain.

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