• Title/Summary/Keyword: higher order terms

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Hybrid-QUICK Scheme Using Finite-Volume Method

  • Choi, Jung-Eun
    • Journal of Hydrospace Technology
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    • v.2 no.2
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    • pp.57-67
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    • 1996
  • The formulation for hybrid-QUICK scheme of convective transport terms in finite-volume calculation procedure is presented. Source terms are modified to apply the hybrid-QUICK scheme. Test calculations are performed for wall-driven cavity flow at Re=$10_2$, $10_3$, and $10_4$. These include the evaluation of boundary conditions approximated by third-order finite difference scheme. The stable and converged solutions are obtained without unsteady terms in the momentum equations. The results using hybrid-QUICK scheme show no difference with those using hybrid scheme at low Re ($=10_2$) and are better at higher Re ($10_3$, and $10_4$).

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A refined theory with stretching effect for the flexure analysis of laminated composite plates

  • Draiche, Kada;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Geomechanics and Engineering
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    • v.11 no.5
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    • pp.671-690
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    • 2016
  • This work presents a static flexure analysis of laminated composite plates by utilizing a higher order shear deformation theory in which the stretching effect is incorporated. The axial displacement field utilizes sinusoidal function in terms of thickness coordinate to consider the transverse shear deformation influence. The cosine function in thickness coordinate is employed in transverse displacement to introduce the influence of transverse normal strain. The highlight of the present method is that, in addition to incorporating the thickness stretching effect (${\varepsilon}_z{\neq}0$), the displacement field is constructed with only 5 unknowns, as against 6 or more in other higher order shear and normal deformation theory. Governing equations of the present theory are determined by employing the principle of virtual work. The closed-form solutions of simply supported cross-ply and angle-ply laminated composite plates have been obtained using Navier solution. The numerical results of present method are compared with those of the classical plate theory (CPT), first order shear deformation theory (FSDT), higher order shear deformation theory (HSDT) of Reddy, higher order shear and normal deformation theory (HSNDT) and exact three dimensional elasticity theory wherever applicable. The results predicted by present theory are in good agreement with those of higher order shear deformation theory and the elasticity theory. It can be concluded that the proposed method is accurate and simple in solving the static bending response of laminated composite plates.

Convergence Characteristics of the Frequency Response Functions of Non-Linear Systems Expressed in Terms of the Volterra Series (Volterra급수로 나타낸 비선형시스템 주파수응답함수의 수렴특성)

  • ;Tomlinson, G. R.
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.8
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    • pp.1901-1906
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    • 1995
  • The frequency response functions of systems incorporating a non-linear cubic stiffness subject to sinusoidal excitation are derived using the Volterra series and the convergence characteristics investigated. It is shown that the series representation of the frequency response functions converges only when the sinewave input amplitude is within a certain range. Within the range of convergence the frequency response function based on the Volterra series approaches the analytical one as more higher order frequency response function terms are included. Proposed is a criterion for the studies systems to predict approximately the range of sinewave input amplitude for which the series representation of the frequency response functions converges.

An efficient computational method for stress concentration problems

  • Shrestha, Santosh;Ohga, Mitao
    • Structural Engineering and Mechanics
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    • v.22 no.5
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    • pp.613-629
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    • 2006
  • In this paper a recently developed scaled boundary finite element method (SBFEM) is applied to simulate stress concentration for two-dimensional structures. In addition, a simple and independent formulation for evaluating the coefficients, not only of the singular term but also higher order non-singular terms, of the stress fields near crack-tip is presented. The formulation is formed by comparing the displacement along the radial points ahead of the crack-tip with that of standard Williams' eigenfunction solution for the crack-tip. The validity of the formulation is examined by numerical examples with different geometries for a range of crack sizes. The results show good agreement with available solutions in literatures. Based on the results of the study, it is conformed that the proposed numerical method can be applied to simulate stress concentrations in both cracked and uncracked structure components more easily with relatively coarse and simple model than other computational methods.

Dynamic Characteristics of Composite Plates Based On a Higher Order Theory Under Low-Velocity Impact (저속 충격시 고차이론을 이용한 복합 재료 판의 동적 특성)

  • 심동진;김지환
    • Journal of KSNVE
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    • v.8 no.1
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    • pp.132-138
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    • 1998
  • The dynamic response of symmetric cross-ply and angle-ply composite laminated plates under impact loads is investigated using a higher order shear deformation theory. A modified Hertz law is used to predict the impact loads and a four node finite element is used to model the plate. By using a higer order shear deformation theory, the out-of-plane shear stresses, which can be a crucial factor in the failure of composite plates, are determined with significant accuracy. This is accomplished by using a stress recovery technique using the in-plane stresses. The results compared with previous investigations showed good agreement. It can be seen that this method of analyzing impact problems is more efficient than current three dimensional methods in terms of time and expense.

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Nurse Characteristics related to Level of Use of Essential Oriental Nursing Terms in Oriental Medicine Hospitals (한방병원 간호사들의 한방간호 필수용어 활용도와 관련된 특성)

  • Hwang, Jee-In;Kim, Won-Ock;Wang, Myoung-Ja
    • Journal of Korean Academy of Nursing Administration
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    • v.17 no.2
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    • pp.209-215
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    • 2011
  • Purpose: This study was done to examine the level of use of essential oriental nursing terms and related characteristics among nurses in oriental medicine (OM) hospitals. Method: A cross-sectional survey design with convenience sampling was employed. Questionnaires were used to collect data from 315 nurses in seven university-affiliated OM hospitals. The questionnaire included 174 oriental nursing terms about actions, tests, drugs, and theories. Multiple regression analysis was performed to determine factors associated with the level of use. Results: The response rate was 98.1% (n=309). Overall mean score for use of essential oriental nursing terms was 2.7(${\pm}\;0.7$) on a five-point Likert scale. Significant factors associated with the level of use were workplace and knowledge of oriental nursing theory terms. Nurses who worked in nursing care wards and those who had a higher level of knowledge of oriental nursing theories had a higher level of use. Conclusions: These findings indicate that level of use of essential oriental nursing terms were below average. Educational programs to enhance knowledge of oriental nursing theories need to be implemented for nurses in OM hospitals, considering their workplace, in order to facilitate nursing data sharing and communication among healthcare providers.

Electromagnetic scattering characteristics of a hyperbolic reflector antenna accounting for the UTD higher order diffraction (UTD 고차회절을 고려한 쌍곡면 반사판 아테나의 전자파 산란 특성)

  • 최재훈;이병우;이상설
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.33A no.5
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    • pp.85-93
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    • 1996
  • The far-zone scattered field patterns of a hyperbolic reflector antenna are analyzed by using uniform geometrical theory of diffraction(UTD). The main objective of this paper is to obtain the higher order diffraction contributions which provide the continuity over the shadow boundaries of the first order solution. to obtain the scattered magnetic field characteristics, the scattered field components of the secodn-order diffraction, diffraction-reflection, diffraction-reflection-diffraction terms are added to the result of the previous research. The results of the present research are compared to those of the first order solution and the method of moments. One can observe the improvemtn of the current approach over the first order solution. also, the results of the present method agree very well with those of the moment methods especially in the transition regions near the first order diffraction shadow boundaries.

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Irregular frequency effects in the calculations of the drift forces

  • Liu, Yujie;Falzarano, Jeffrey M.
    • Ocean Systems Engineering
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    • v.9 no.1
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    • pp.97-109
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    • 2019
  • Accurate calculation of the mean drift forces and moments is necessary when studying the higher order excitations on the floater in waves. When taking the time average of the second order forces and moments, the second order potential and motion diminish with only the first order terms remained. However, in the results of the first order forces or motions, the irregular frequency effects are often observed in higher frequencies, which will affect the accuracy of the calculation of the second order forces and moments. Therefore, we need to pay close attention to the irregular frequency effects in the mean drift forces. This paper will discuss about the irregular frequency effects in the calculations of the mean drift forces and validate our in-house program MDL Multi DYN using some examples which are known to have irregular frequency effects. Finally, we prove that it is necessary to remove the effects and demonstrate that the effectiveness of the formula and methods adopted in the development of our program.

Measurement of ecological niche of Quercus aliena and Q. serrata under environmental factors treatments and its meaning to ecological distribution

  • Lee, Seung-Hyuk;You, Young-Han
    • Journal of Ecology and Environment
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    • v.35 no.3
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    • pp.227-234
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    • 2012
  • Quercus aliena and Q. serrata are both occur as natural vegetation alongside natural freshwater bodies of the southern Korea Peninsula. Q. serrata dominates over Q. aliena as secondary forest vegetation in the present day. In order to explain these natural distributional traits of the oak species, we conducted some experiments with oak seedlings which treated with major important environmental resources, including light, moisture and nutrients, under controlled conditions. We then measured the ecological niche breadths and overlap from 15 eco-morphological characteristics. The ecological niche breadth of Q. aliena and Q. serrata were higher in terms of the nutrient factor applied, but was lower terms of light. The niche breadth of Q. serrata was wider than that of Q. aliena in light and moisture exposure. On the other hand, the niche breadth of Q. aliena was similar with that of Q. serrata in terms of the nutrient factor applied. These results imply that Q. serrata has a broader ecological distribution in over a wider variety of light and moisture environments than that of Q. alien. Ecological niche overlap between two oak species was the widest in terms of the light treatment factor applied, and narrowest in terms of moisture. This response pattern was also verified by cluster and principle component analysis. These results suggest competitive interactions between Q. serrata and Q. aliena seedlings may be higher for light resources than moisture or nutrient resources, and that Q. serrata is more shade tolerant than Q. aliena.

Flexure of cross-ply laminated plates using equivalent single layer trigonometric shear deformation theory

  • Sayyad, Atteshamuddin S.;Ghugal, Yuwaraj M.
    • Structural Engineering and Mechanics
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    • v.51 no.5
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    • pp.867-891
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    • 2014
  • An equivalent single layer trigonometric shear deformation theory taking into account transverse shear deformation effect as well as transverse normal strain effect is presented for static flexure of cross-ply laminated composite and sandwich plates. The inplane displacement field uses sinusoidal function in terms of thickness coordinate to include the transverse shear deformation effect. The cosine function in thickness coordinate is used in transverse displacement to include the effect of transverse normal strain. The kinematics of the present theory is much richer than those of the other higher order shear deformation theories, because if the trigonometric term (involving thickness coordinate z) is expanded in power series, the kinematics of higher order theories (which are usually obtained by power series in thickness coordinate z) are implicitly taken into account to good deal of extent. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. The closed-form solutions of simply supported cross-ply laminated composite and sandwich plates have been obtained. The results of present theory are compared with those of the classical plate theory (CPT), first order shear deformation theory (FSDT), higher order shear deformation theory (HSDT) of Reddy and exact three dimensional elasticity theory wherever applicable. The results predicted by present theory are in good agreement with those of higher order shear deformation theory and the elasticity theory.