• 제목/요약/키워드: Differential transformation

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Scaling laws for vibration response of anti-symmetrically laminated plates

  • Singhatanadgid, Pairod;Ungbhakorn, Variddhi
    • Structural Engineering and Mechanics
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    • 제14권3호
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    • pp.345-364
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    • 2002
  • The scaling laws for vibration response of anti-symmetrically laminated plates are derived by applying the similitude transformation to the governing differential equations directly. With this approach, a closed-form solution of the governing equations is not required. This is a significant advantage over the method employed by other researchers where similitude transformation is applied to the closed-form solution. The scaling laws are tested by comparing the similitude fundamental frequencies to the theoretical fundamental frequencies determined from the available closed-form solutions. In case of complete similitude, similitude solutions from the scaling laws exactly agree with the theoretical solutions. Sometimes, it may not be feasible to select the model which obeys the similarity requirement completely, therefore partial similitude is theoretically investigated and approximate scaling laws are recommended. The distorted models in stacking sequences and laminated material properties demonstrate reasonable accuracy. On the contrary, a model with distortion in fiber angle is not recommended. The derived scaling laws are very useful to determine the vibration response of complex prototypes by performing the experiment on a model with required similarities.

자성 Co-Ni 계 형상기억합금의 특성 (Characterization of Co-Ni Based Ferromagnetic Shape Memory Alloy)

  • 한지원;박성범
    • 한국안전학회지
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    • 제30권4호
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    • pp.8-13
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    • 2015
  • The magnetic shape memory alloys have recently received a lot of attention due to the considerable progress achieved in understanding the particular importance and the development of the factors. Among these alloys, the ferromagnetic Co-Ni- alloys have been concerned specially because of the thermoelastic character of the fcc (g) - bct (a) martensitic transformation which exhibits under the action of the temperature (shape memory effect), the stress (superelasticity) and the magnetic field (magnetoelasticity). The morphological, the crystallographical, and the thermal characteristics of thermally induced martensite in Co-35.3Ni-11.3Al(wt.%) and Co-28.1Ni-47.4Fe-3.3Ti (wt.%) alloy have been investigated by the scanning electron microscope (SEM), the X-ray Diffraction (XRD), and the differential scanning calorimeter (DSC).

Canonical Transformations for Time-Dependent Harmonic Oscillators

  • Park, Tae-Jun
    • Bulletin of the Korean Chemical Society
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    • 제25권2호
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    • pp.285-288
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    • 2004
  • A canonical transformation changes variables such as coordinates and momenta to new variables preserving either the Poisson bracket or the commutation relations depending on whether the problem is classical or quantal respectively. Classically canonical transformations are well established as a powerful tool for solving differential equations. Quantum canonical transformations have been defined and used relatively recently because of the non-commutativeness of the quantum variables. Three elementary canonical transformations and their composite transformations have quantum implementations. Quantum canonical transformations have been mostly used in time-independent Schrodinger equations and a harmonic oscillator with time-dependent angular frequency is probably the only time-dependent problem solved by these transformations. In this work, we apply quantum canonical transformations to a harmonic oscillator in which both angular frequency and equilibrium position are time-dependent.

Q-35(발오플록사신)의 결정다형 (Polymorphism of Q-35 (Balofloxacin))

  • 손영택;전혜련
    • Journal of Pharmaceutical Investigation
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    • 제31권2호
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    • pp.119-123
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    • 2001
  • Six polymorphic modifications of Balofloxacin (Q-35) were obtained by the recrystallization from different organic solvents and characterized by differential scanning calorimetry (DSC), X-ray powder diffraction (XRPD). The dissolution patterns of these six modifications were also checked in distilled water at $37{\pm}0.5^{\circ}C$, 50 rpm for 60 minutes. The polymorphic modifications showed significant differences in the dissolution rate. The dissolution rate of Mod. 1 was faster than that of other polymorphic modifications. The transformation during storage was also studied.

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이미지 좌표계상의 차선 모델을 이용한 차선 휨 검출 (The Detection of the Lane Curve using the Lane Model on the Image Coordinate Systems)

  • 박종웅;이준웅;장경영;정지화;고광철
    • 한국자동차공학회논문집
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    • 제11권1호
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    • pp.193-200
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    • 2003
  • This paper proposes a novel algorithm to recognize the curve of a structured road. The proposed algorithm uses an LCF (Lane Curve Function) obtained by the transformation of a parabolic function defined on world coordinate into image coordinate. Unlike other existing methods, the algorithm needs no transformation between world coordinate and image coordinate owing to the LCF. In order to search for an LCF describing the lane best, the differential comparison between the slope of an assumed LCF and the phase angle of edge pixels in the LROI (Lane Region Of Interest) constructed by the LCF is implemented. As finding the true LCF, the lane curve is determined. The proposed method is proved to be efficient through various kinds of images, providing the reliable curve direction and the valid curvature compared to the real road.

Camptothecin 유도체의 결정형 (Crystal Form of A Camptothecin Derivative)

  • 손영택;문현영
    • Journal of Pharmaceutical Investigation
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    • 제32권2호
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    • pp.81-85
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    • 2002
  • Three polymorphic modifications of CKD-602, water soluble derivative of camptothecin, were obtained by the recrystallization from different organic solvents and characterized by differential scanning calorimetry (DSC), thermogravimetric analysis (TGA) and X-ray powder diffraction (XRPD). The major endothermic peaks of the DSC curve of Form 1, Form 2 and Form 3 was shown at $268.71^{\circ}C$, $247.83^{\circ}C$, $244.76^{\circ}C$, respectively. Form 2 was elucidated to be an acetic acid solvate and Form 3 was elucidated to be a methanol solvate. The dissolution patterns of these three modifications were also checked in distilled water at $37{\pm}0.5^{\circ}C$, for 30 minutes. The polymorphic modifications showed differences in the dissolution rate. The dissolution rate of Form 1 was faster than that of other polymorphic modifications. When stored at different relative humidity over the period of 3 months, all of the polymorphic modifications did not undergo transformation.

생체주입용 Ni-Ti 합금의 시효특성(I) (Characteristics of Aging of Ni-Ti Alloy Used for Implant Fabrications(I))

  • 조형준;이준희;박기룡
    • 대한의용생체공학회:의공학회지
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    • 제10권3호
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    • pp.261-268
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    • 1989
  • The characteristics of aging of near-equiatomic Ni-Ti alloy has been studied by the three point bend test and the measurement of Differential Scanning Calorimetry(DSC). The DSC is used to measure precise transformation temperatures and the amount of thermal energy required for the corresponding phase transformation. The effort of hardness on aging treatment in saline solution of $37^{\circ}C$ was higher for the annealed than solution treated specimens. As the testing temperature inc- rease from under $M_f$ to above $A_f$ temperature, the elastic stiffness increased. Almost full recovery can be achieved after bending below Belo outer fiber strain. Total bend recovery decreased gradually as aging time and bend angle is increased.

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기계적합금화한 FeAl 나노결정립의 회절특성 (Diffraction Characteristics of Mechanically Alloyed Nanocrystalline FeAl)

  • 최근섭;김도향;홍경태
    • Applied Microscopy
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    • 제27권4호
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    • pp.473-481
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    • 1997
  • Disorder-order transformation of nanocrystalline FeAl have been investigated by a combination of electron and X-ray diffraction analysis including high resolution electron microscopy and differential scanning calorimetry. Fe-50at.%Al powders mechanically alloyed for 90 hours consist of $5\sim10$ nm size grains haying either disordered b.c.c. structure or amorphous structure. X-ray and electron diffraction of mechanically alloyed FeAl powders show that disorder-order transformation occurs at the temperature range of $300^{\circ}C\sim320^{\circ}C$. Such a low-temperature ordering behavior exhibiting an exothermic reaction is attributable to the nm-scale grain structure with a large amount of defects accumulated during mechanical alloying process.

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새로운 BPF 변환식을 이용한 동적 시스템의 대수적 보상기 설계 (Algebraic compensator design for dynamic systems using a novel BPF transformation method)

  • 안비오;김민형;김종부;이재춘;오민환;안두수
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 하계학술대회 논문집 B
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    • pp.595-597
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    • 1998
  • This paper deals with an algebraic compensator design for dynamic systems using a novel BPF transformation method. To obtain an algebraic compensator for the system, block pulse function's differential operation is used. Compare to unalgebraic compensator, proposed algebraic compensator is less sensitive to the measurement noise.

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Crystal Form of Cephradine

  • Sohn, Young-Taek;Park, Sun-Hee
    • Archives of Pharmacal Research
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    • 제29권2호
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    • pp.178-182
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    • 2006
  • Four crystal forms of cephradine were isolated by recrystallization and characterized by powder X-ray diffractometry, differential scanning calorimetry, and thermogravimetric analysis. The dissolution patterns of four crystal forms of cephradine were studied in water at $37{\pm}0.5^{\circ}C$, 90 rpm for 120 min. The amount dissolved at 120 min was highest for Form 1 ($100\%$), followed by Form 3 ($98.9\%$), Form 4 ($77.83\%$), and Form 2 ($75.55\%$). After storage for two months at $0\%$ RH (silica gel, $20^{\circ}C$), $52\%$ RH (saturated solution of $Na_{2}Cr_{2}O_{7}{\cdot}2H_{2}O/20^{\circ}C$), and $95\%$ RH (saturated solution of $Na_{2}HPO_{4}/20^{\circ}C$), none of the crystal forms showed transformation.