• 제목/요약/키워드: derivative-free

검색결과 195건 처리시간 0.023초

Modeling of GN type III with MDD for a thermoelectric solid subjected to a moving heat source

  • Ezzat, Magdy A.
    • Geomechanics and Engineering
    • /
    • 제23권4호
    • /
    • pp.393-403
    • /
    • 2020
  • We design the Green-Naghdi model type III (GN-III) with widespread thermoelasticity for a thermoelectric half space using a memory-dependent derivative rule (MDD). Laplace transformations and state-space techniques are used in order to find the general solution for any set of limit conditions. A basic question of heat shock charging half space and a traction-free surface was added to the formulation in the present situation of a traveling heat source with consistent heating speed and ramp-type heating. The Laplace reverse transformations are numerically recorded. There are called the impacts of several calculations of the figure of the value, heat source spead, MDD parameters, magnetic number and the parameters of the ramping period.

Conformable solution of fractional vibration problem of plate subjected to in-plane loads

  • Fadodun, Odunayo O.;Malomo, Babafemi O.;Layeni, Olawanle P.;Akinola, Adegbola P.
    • Wind and Structures
    • /
    • 제28권6호
    • /
    • pp.347-354
    • /
    • 2019
  • This study provides an approximate analytical solution to the fractional vibration problem of thin plate governing anomalous motion of plate subjected to in-plane loads. The method of variable separable is employed to transform the fractional partial differential equations under consideration into a fractional ordinary differential equation in temporal variable and a bi-harmonic plate equation in spatial variable. The technique of conformable fractional derivative is utilized to solve the resulting fractional differential equation and the approach of finite sine integral transform method is used to solve the accompanying bi-harmonic plate equation. The deflection field which measures the transverse displacement of the plate is expressed in terms of product of Bessel and trigonometric functions via the temporal and spatial variables respectively. The obtained solution reduces to the solution of the free vibration problem of thin plate in literature. This work shows that conformable fractional derivative is an efficient mathematical tool for tracking analytical solution of fractional partial differential equation governing anomalous vibration of thin plates.

Molecular Dynamics Free Energy Simulation Study to Rationalize the Relative Activities of PPAR δ Agonists

  • Lee, Woo-Jin;Park, Hwang-Seo;Lee, Sangyoub
    • Bulletin of the Korean Chemical Society
    • /
    • 제29권2호
    • /
    • pp.363-371
    • /
    • 2008
  • As a computational method for the discovery of the effective agonists for PPARd, we address the usefulness of molecular dynamics free energy (MDFE) simulation with explicit solvent in terms of the accuracy and the computing cost. For this purpose, we establish an efficient computational protocol of thermodynamic integration (TI) that is superior to free energy perturbation (FEP) method in parallel computing environment. Using this protocol, the relative binding affinities of GW501516 and its derivatives for PPARd are calculated. The accuracy of our protocol was evaluated in two steps. First, we devise a thermodynamic cycle to calculate the absolute and relative hydration free energies of test molecules. This allows a self-consistent check for the accuracy of the calculation protocol. Second, the calculated relative binding affinities of the selected ligands are compared with experimental IC50 values. The average deviation of the calculated binding free energies from the experimental results amounts at the most to 1 kcal/mol. The computational efficiency of current protocol is also assessed by comparing its execution times with those of the sequential version of the TI protocol. The results show that the calculation can be accelerated by 4 times when compared to the sequential run. Based on the calculations with the parallel computational protocol, a new potential agonist of GW501516 derivative is proposed.

Synthesis of Novel Kojic Acid Derivative and Its Anti-pigmentation Effect

  • Kim, K. H.;Kim, K. S.;Kim, J. G.;Park, S. H.;E. K. Yang;Park, S. N.
    • 대한화장품학회:학술대회논문집
    • /
    • 대한화장품학회 2003년도 IFSCC Conference Proceeding Book I
    • /
    • pp.719-732
    • /
    • 2003
  • A kojic acid derivative, kojic acid 7-O-$\beta$-D-tetraacetylglucopyranoside(KTG) was synthesized. Regio-and stereo-selective glycosylation at 7-postion in kojic acid with $\beta$-D-pentaacetylglucose was achieved with high yield(80%) by the use of Lewis acid and organic base in nonpolar solvent. KTG was hydrolyzed in methanol by the aid of sodium methoxide to give kojic acid 7-O-$\beta$-D-glucopyranoside(KGP). KGP is freely soluble in water and soluble in methanol and ethanol. Its structure was comfirmed by $^1$H-NMR and $^{13}$ C-NMR. Tyrosinase activity inhibition of KGP was measured with mushroom tyrosinase compared with ascorbic acid, kojic acid and arbutin. KGP showed higher tyrosinase inhibition activity($IC_{50}$/=33.3 $\mu\textrm{g}$/ml) than ascorbic acid(63.2 $\mu\textrm{g}$/ml) and arbutin(91.8 $\mu\textrm{g}$/ml) but lower inhibition activity than kojic acid(8.3 $\mu\textrm{g}$/ml). To test free-radical scavenging activity, we used 1, 1-diphenyl-2-picrylhydrazyl(DPPH) as a free-radical source. Free-radical scavenging activity of KGP was very low($SC_{50}$/>1000 $\mu\textrm{g}$/ml) compared with ascorbic acid($SC_{50}$/=2.68 $\mu\textrm{g}$/ml) and arbutin($SC_{50}$/=180$\mu\textrm{g}$/ml). Melanin formation inhibition of KGP was measured in B16 melanoma, compared with kojic acid, arbutin and Vitamin C. Inhibition activity of KGP for melanin formation was not found within test concentrations.

  • PDF

영지 버섯의 유리 아미노산 및 유도체에 관한 연구 (Free Amino Acids and Their Derivatives of Ganoderma lucidum)

  • 이현아;김병각;현진원
    • 한국환경성돌연변이발암원학회지
    • /
    • 제24권2호
    • /
    • pp.67-72
    • /
    • 2004
  • To find active components in Ganoderma lucidum, their free amino acid and free amino acid derivatives were analyzed. After extracting with hot water, the extracts were filtrated by three steps. So, supernatants below 10,000 dalton were obtained. Filtrates were derivativated with PITC (phenylthiocarbamyl) derivative reagent and PITC amino acid was obtained. Then, they were analyzed by RP-HPLC. 13 amino acids were analyzed in cultured Korean Nok-kak ji (one of Ganoderma lucidum), 15 amino acids in cultured Korean Ganoderma lucidum, 12 amino acids wild Ganoderma lucidum, 16 amino acids in cultured Taiwan Ganoderma lucidum.

  • PDF

기계임피던스 감소기법을 이용한 회전형 전기-유압식 구동기의 모델 없는 토크제어방법 (Model-Free Torque Control of Rotary Electro-Hydraulic Actuator using Mechanical Impedance Reduction)

  • 이웅용;정완균
    • 로봇학회논문지
    • /
    • 제15권1호
    • /
    • pp.77-89
    • /
    • 2020
  • This paper proposes a simple and intuitive model-free torque-tracking control for rotary electro-hydraulic actuators. The undesirable natural-velocity-feedback effect is discussed by introducing mechanical impedance into the electro-hydraulic actuation system. The proposed model-free torque control comprises inner- and outer-loop control to achieve two control objectives. Inner-loop control reduces the mechanical impedance passively and optimally. To improve the tracking accuracy, a certain form of proportional-integral-derivative control is applied to the outer loop. The robustness of the proposed closed-loop system against external disturbances is demonstrated by transforming the two-loop control structure into a disturbance observer form. The proposed method is validated on a single joint electro-hydraulic actuator.

자유곡면의 가감속 제어에 관한 연구 (A Study on the Acceleration and Deceleration Control of Free-Form Surfaces)

  • 백대균;양승한
    • 한국정밀공학회지
    • /
    • 제33권9호
    • /
    • pp.745-751
    • /
    • 2016
  • This paper presents the acceleration and deceleration control of free-form surfaces. A rapid variation of acceleration (or Deceleration) drives the system into a machine shock, resulting in the inaccuracy of the path control of the NURBS curve. The pattern of acceleration control can be established using the curvature of the NURBS curve. The curvature can be easily calculated from the first and second derivative of the NURBS curve used in Taylor's expansion for NURBS interpolation. However, the derivatives are not used in the recursive method for NURBS interpolation. Hence, we attempted the difference-derivatives for calculating the NURBS curvature. Both, Taylor's expansion and the recursive method, are used jointly for controlling the acceleration in the same interpolation algorithm.

Development of Hydrophobically Modified Casein Derivative-Based Delivery System for Docosahexaenoic Acids by an Acid-Induced Gelation

  • Ho-Kyung Ha;Dan-Bi Woo;Mee-Ryung Lee;Won-Jae Lee
    • 한국축산식품학회지
    • /
    • 제43권2호
    • /
    • pp.220-231
    • /
    • 2023
  • Although omega-3 fatty acids including docosahexaenoic acid (DHA) contain various health-promoting effects, their poor aqueous solubility and stability make them difficult to be induced in dairy foods. The aims of this research were to manufacture casein derivative-based delivery system using acid-induced gelation method with glucono-σ-lactone and to investigate the effects of production variables, such as pH and charged amount of linoleic acid, on the physicochemical properties of delivery systems and oxidative stability of DHA during storage in model milk. Covalent modification with linoleic acid resulted in the production of casein derivatives with varying degrees of modification. As pH was reduced from 5.0 to 4.8 and the charged amount of linoleic acid was increased from 0% to 30%, an increase in particle size of casein derivative-based delivery systems was observed. The encapsulation efficiency of DHA was increased with decreased pH and increased charged amount of linoleic acid. The use of delivery system for DHA resulted in a decrease in the development of primary and secondary oxidation products. An increase in the degree of modification of casein derivatives with linoleic acid resulted in a decrease in the formation of primary and secondary oxidation products than of free DHA indicating that delivery systems could enhance the oxidative stability of DHA during storage in model milk. In conclusions, casein derivatives can be an effective delivery system for DHA and charged amount of linoleic acid played a key role determining the physicochemical characteristics of delivery system and oxidative stability of DHA.

이차원 비압축성 유동 계산을 위한 Hermite 겹 3차 유동 함수법 (HERMITE BICUBIC STREAM FUNCTION METHOD FOR INCOMPRESSIBLE FLOW COMPUTATIONS IN TWO DIMENSIONS)

  • 김진환
    • 한국전산유체공학회지
    • /
    • 제13권4호
    • /
    • pp.13-23
    • /
    • 2008
  • This paper is an extension of previous study[1] on a development of a divergence-free element method using a hermite interpolated stream function. Divergence-free velocity bases defined on rectangles derived herein produce pointwise divergence-free flow fields. Hence the explicit imposition of continuity constraint is not necessary and the Galerkin finite element formulation for velocities does not involve the pressure. The divergence-free element of the previous study employed hermite (serendipity) cubic for interpolation of stream function, and it has been noted a possible discontinuity in variables along element interfaces. This deficiency can be removed by use of a hermite bicubic interpolated stream function, which requires four degrees-of-freedom at each element corners. Those degrees-of-freedom are the unknown variable, its x- and y-derivatives and its cross derivative. Detailed derivations are presented for both solenoidal and irrotational basis functions from the hermite bicubic interpolated stream function. Numerical tests are performed on the lid-driven cavity flow, and results are compared with those from hermite serendipity cubics and a stabilized finite element method by Illinca et al[2].

이차원 비압축성 유동 계산을 위한 Hermite 쌍 3차 유동 함수법 (HERMITE BICUBIC STREAM FUNCTION METHOD FOR INCOMPRESSIBLE FLOW COMPUTATIONS IN TWO DIMENSIONS)

  • 김진환
    • 한국전산유체공학회:학술대회논문집
    • /
    • 한국전산유체공학회 2008년도 학술대회
    • /
    • pp.33-41
    • /
    • 2008
  • This paper is an extension of previous study[9] on a development of a divergence-free element method using a hermite interpolated stream function. Divergence-free velocity bases defined on rectangles derived herein produce pointwise divergence-free flow fields. Hence the explicit imposition of continuity constraint is not necessary and the Galerkin finite element formulation for velocities does not involve the pressure. The divergence-free element of the previous study employed hermite serendipity cubic for interpolation of stream function, and it has been noted a possible discontinuity in variables along element interfaces. This deficiency can be removed by use of a hermite bicubic interpolated stream function, which requires at each element corners four degrees-of-freedom such as the unknown variable, its x- and y-derivatives and its cross derivative. Detailed derivations are presented for both solenoidal and irrotational bases from the hermite bicubic interpolated stream function. Numerical tests are performed on the lid-driven cavity flow, and results are compared with those from hermite serendipity cubics and a stabilized finite element method by Illinca et al[7].

  • PDF