• 제목/요약/키워드: Parabolic type

검색결과 168건 처리시간 0.019초

Investigation on the dynamic response of porous FGM beams resting on variable foundation using a new higher order shear deformation theory

  • Atmane, Redhwane Ait;Mahmoudi, Noureddine;Bennai, Riadh;Atmane, Hassen Ait;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • 제39권1호
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    • pp.95-107
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    • 2021
  • In this work, the dynamic response of functionally graded beams on variable elastic foundations is studied using a novel higher-order shear deformation theory (HSDT). Unlike the conventional HSDT, the present one has a new displacement field which introduces undetermined integral variables. The FG beams were assumed to be supported on Winkler-Pasternak type foundations in which the Winkler modulus is supposed to be variable in the length of the beam. The variable rigidity of the elastic foundation is assumed to be linear, parabolic and sinusoidal along the length of the beam. The material properties of the FG porous beam vary according to a power law distribution in terms of the volume fraction of the constituents. The equations of motion are determined using the virtual working principle. For the analytical solution, Navier method is used to solve the governing equations for simply supported porous FG beams. Numerical results of the present theory for the free vibration of FG beams resting on elastic foundations are presented and compared to existing solutions in the literature. A parametric study will be detailed to investigate the effects of several parameters such as gradient index, thickness ratio, porosity factor and foundation parameters on the frequency response of porous FG beams.

A computational investigation on flexural response of laminated composite plates using a simple quasi-3D HSDT

  • Draiche, Kada;Selim, Mahmoud M.;Bousahla, Abdelmoumen Anis;Tounsi, Abdelouahed;Bourada, Fouad;Tounsi, Abdeldjebbar;Mahmoud, S.R.
    • Steel and Composite Structures
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    • 제41권5호
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    • pp.697-711
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    • 2021
  • In this work, a simple quasi 3-D parabolic shear deformation theory is developed to examine the bending response of antisymmetric cross-ply laminated composite plates under different types of mechanical loading. The main feature of this theory is that, in addition to including the transverse shear deformation and thickness stretching effects, it has only five-unknown variables in the displacement field modeling like Mindlin's theory (FSDT), yet satisfies the zero shear stress conditions on the top and bottom surfaces of the plate without requiring a shear correction factor. The static version of principle of virtual work was employed to derive the governing equations, while the bending problem for simply supported antisymmetric cross-ply laminated plates was solved by a Navier-type closed-form solution procedure. The adequacy of the proposed model is handled by considering the impact of side-to-thickness ratio on bending response of plate through several illustrative examples. Comparison of the obtained numerical results with the other shear deformation theories leads to the conclusion that the present model is more accurate and efficient in predicting the displacements and stresses of laminated composite plates.

Bending of axially functionally graded carbon nanotubes reinforced composite nanobeams

  • Ahmed Drai;Ahmed Amine Daikh;Mohamed Oujedi Belarbi;Mohammed Sid Ahmed Houari;Benoumer Aour;Amin Hamdi;Mohamed A. Eltaher
    • Advances in nano research
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    • 제14권3호
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    • pp.211-224
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    • 2023
  • This work presents a modified analytical model for the bending behavior of axially functionally graded (AFG) carbon nanotubes reinforced composite (CNTRC) nanobeams. New higher order shear deformation beam theory is exploited to satisfy parabolic variation of shear through thickness direction and zero shears at the bottom and top surfaces.A Modified continuum nonlocal strain gradient theoryis employed to include the microstructure and the geometrical nano-size length scales. The extended rule of the mixture and the molecular dynamics simulations are exploited to evaluate the equivalent mechanical properties of FG-CNTRC beams. Carbon nanotubes reinforcements are distributed axially through the beam length direction with a new power graded function with two parameters. The equilibrium equations are derived with associated nonclassical boundary conditions, and Navier's procedure are used to solve the obtained differential equation and get the response of nanobeam under uniform, linear, or sinusoidal mechanical loadings. Numerical results are carried out to investigate the impact of inhomogeneity parameters, geometrical parameters, loadings type, nonlocal and length scale parameters on deflections and stresses of the AFG CNTRC nanobeams. The proposed model can be used in the design and analysis of MEMS and NEMS systems fabricated from carbon nanotubes reinforced composite nanobeam.

Non-Gaussian feature of fluctuating wind pressures on rectangular high-rise buildings with different side ratios

  • Jia-hui Yuan;Shui-fu Chen;Yi Liu
    • Wind and Structures
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    • 제37권3호
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    • pp.211-227
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    • 2023
  • To investigate the non-Gaussian feature of fluctuating wind pressures on rectangular high-rise buildings, wind tunnel tests were conducted on scale models with side ratios ranging from 1/9~9 in an open exposure for various wind directions. The high-order statistical moments, time histories, probability density distributions, and peak factors of pressure fluctuations are analyzed. The mixed normal-Weibull distribution, Gumbel-Weibull distribution, and lognormal-Weibull distribution are adopted to fit the probability density distribution of different non-Gaussian wind pressures. Zones of Gaussian and non-Gaussian are classified for rectangular buildings with various side ratios. The results indicate that on the side wall, the non-Gaussian wind pressures are related to the distance from the leading edge. Apart from the non-Gaussianity in the separated flow regions noted by some literature, wind pressures behind the area where reattachment happens present non-Gaussian nature as well. There is a new probability density distribution type of non-Gaussian wind pressure which has both long positive and negative tail found behind the reattachment regions. The correlation coefficient of wind pressures is proved to reflect the non-Gaussianity and a new method to estimate the mean reattachment length of rectangular high-rise building side wall is proposed by evaluating the correlation coefficient. For rectangular high-rise buildings, the mean reattachment length calculated by the correlation coefficient method along the height changes in a parabolic shape. Distributions of Gaussian and non-Gaussian wind pressures vary with side ratios. It is inappropriate to estimate the extreme loads of wind pressures using a fixed peak factor. The trend of the peak factor with side ratios on different walls is given.

Thermodynamical bending analysis of P-FG sandwich plates resting on nonlinear visco-Pasternak's elastic foundations

  • Abdeldjebbar Tounsi;Adda Hadj Mostefa;Abdelmoumen Anis Bousahla;Abdelouahed Tounsi;Mofareh Hassan Ghazwani;Fouad Bourada;Abdelhakim Bouhadra
    • Steel and Composite Structures
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    • 제49권3호
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    • pp.307-323
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    • 2023
  • In this research, the study of the thermoelastic flexural analysis of silicon carbide/Aluminum graded (FG) sandwich 2D uniform structure (plate) under harmonic sinusoidal temperature load over time is presented. The plate is modeled using a simple two dimensional integral shear deformation plate theory. The current formulation contains an integral terms whose aim is to reduce a number of variables compared to others similar solutions and therefore minimize the computation time. The transverse shear stresses vary according to parabolic distribution and vanish at the free surfaces of the structure without any use of correction factors. The external load is applied on the upper face and varying in the thickness of the plates. The structure is supposed to be composed of "three layers" and resting on nonlinear visco-Pasternak's-foundations. The governing equations of the system are deduced and solved via Hamilton's principle and general solution. The computed results are compared with those existing in the literature to validate the current formulation. The impacts of the parameters (material index, temperature exponent, geometry ratio, time, top/bottom temperature ratio, elastic foundation type, and damping coefficient) on the dynamic flexural response are studied.

Free vibration characteristics of three-phases functionally graded sandwich plates using novel nth-order shear deformation theory

  • Pham Van Vinh;Le Quang Huy;Abdelouahed Tounsi
    • Computers and Concrete
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    • 제33권1호
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    • pp.27-39
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    • 2024
  • In this study, the authors investigate the free vibration behavior of three-phases functionally graded sandwich plates using a novel nth-order shear deformation theory. These plates are composed of a homogeneous core and two face-sheet layers made of different functionally graded materials. This is the novel type of the sandwich structures that can be applied in many fields of mechanical engineering and industrial. The proposed theory only requires four unknown displacement functions, and the transverse displacement does not need to be separated into bending and shear parts, simplifying the theory. One noteworthy feature of the proposed theory is its ability to capture the parabolic distribution of transverse shear strains and stresses throughout the plate's thickness while ensuring zero values on the two free surfaces. By eliminating the need for shear correction factors, the theory further enhances computational efficiency. Equations of motion are established using Hamilton's principle and solved via Navier's solution. The accuracy and efficiency of the proposed theory are verified by comparing results with available solutions. The authors then use the proposed theory to investigate the free vibration characteristics of three-phases functionally graded sandwich plates, considering the effects of parameters such as aspect ratio, side-to-thickness ratio, skin-core-skin thicknesses, and power-law indexes. Through careful analysis of the free vibration behavior of three-phases functionally graded sandwich plates, the work highlighted the significant roles played by individual material ingredients in influencing their frequencies.

면역황금 표식법을 이용한 요꼬가와흡충의 조직내 항원성 부위에 관한 연구 (Antigenic localities in the tissued of Metagonimus yokogawai observed by immunogoldlabeling method)

  • 안혁;임한종;김수진
    • Parasites, Hosts and Diseases
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    • 제29권3호
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    • pp.245-258
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    • 1991
  • 요꼬가와흠흡에 감염된 숙주에서 항체생성을 유도하는 물질의 충체 래에 분포하고 있는 부위를 확인하기 위하여 대조군의 실험동물 IgG와 요꼬가와흡충에 감염된 실험고양이의 특이항체 IgG를 요꼬가와흡충 성충조직에 반응시키고 면역황금표식법을 이용하여 전자현미경으로 관찰하여 다음과 같은 결과를 얻었다. 대조군의 IgG를 반응시킨 조직항원에는 환금입자의 표지가 관찰되지 않았으나 표피층은 표피세포들의 원형질돌기들이 표피합포체를 구성하고 있었으며 기저층은 분명하게 구별되고 경육층도 잘 발달되어 있었다. 난황세포는 크기가 다양한 분필과립들을 포함하고 있었으며 조면소포체가 특히 발달되어 있었다. 맹관의 막구조물은 잘 발달되었으며 장상피 합포체도 잘 발달되어 있었다. 저정낭에는 정자가 전자밀도가 릎은 두부와 미세소관이 잘 발달한 미부로 구성되어 있었으며, 배설낭은 배설낭 상피에 막구조물이 관찰되었고 충란은 전자밀도가 높은 난각이 관찰되었다. 요꼬가와흡충에 감염된 실험동물의 IgG를 반응시킨 조직항원의 표피충에는 표피합포체와 표피세포의 세포질에 황금입자가 높은 밀도로 표지되어 강한 항원성을 나타내었다. 그리고 난황세포의 분필과립과 맹관 막구조물과 맹관 내강에도 환금입자가 높은 밀도로 관찰되어 항원성이 강한 것으로 생각되었다. 저정낭의 정자와 배설낭의 막구조물에는 적은 수의 황금입자가 표지되어 항원성이 미약한 것으로 생각되었으나, 자궁의 충란 난각에는 황금입자가 다소 표지되어 항원성물질이 존재하는 것으로 생각되었다. 이상의 결과로 요꼬가와홉충에 감염된 실험 고양이는 요꼬가와흡충의 표피합포체와 표피세포에서 생성된 물질과 난황세포에서 생성된 물질에 의하여 면역항체가 형성되며 일부는 맹관 내용물에 의하여 면역항체가 유도되는 것으로 생각되었다.는 69.7%의 같은 비율로 높았다. 이상으로 요충 감염은 아직까지 높은 상태임을 알았고 예방을 위한 집단 구충에는 전 집단에 대한 3회 이상의 반복구충이 효과적이었다. gas layers is also made. Low resolution spectral intensities at the boundary are obtained for uniform, parabolic and boundary layer type temeprature profiles using the obtained for uniform, parabolic and boundary layer type temperature profiles using the obtained WSGGM's with 9 gray gases. The results are compared with the narrow band spectral intensities as obtained by a narrow band model-based code with the Curtis-Godson approximation. Good agreement is found between them. Local heat source strength and total wall heat flux are also compared for the cases of Kim et al, which again gives promising agreement.면적 306~453$\textrm{cm}^2$, 유색계의 경우 수당면적 340~453$\textrm{cm}^2$ 일 때 경제능력을 제대로 발휘할 수 있고 경제성이 있는 것으로 나타났다. 첨가구가 높은 경향이 있었다8.4%. 79.7% 그리고

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On the Period Change of the Contact Binary GW Cephei

  • Kim, Chun-Hwey;Song, Mi-Hwa;Yoon, Joh-Na;Jeong, Jang-Hae;Jeoung, Taek-Soo;Kim, Young-Jae;Kim, Jung-Yeb
    • Journal of Astronomy and Space Sciences
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    • 제27권2호
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    • pp.89-96
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    • 2010
  • BVR CCD observations of GW Cep were made on 15 nights in November through December 2008 with a 1-m reflector at the Jincheon station of the Chungbuk National University Observatory. Nineteen new times of minimum lights for GW Cep were determined and added to a collection of all other times of minima available to us. These data were then intensively analyzed, by reference to an O-C diagram, to deduce the general form of period variation for GW Cep. It was found that the O-C diagram could be interpreted as presenting two different forms of period change: an exclusively quasi-sinusoidal change with a period of 32.6 years and an eccentricity of 0.10; and a quasi-sinusoidal change with a period of 46.2 years and an eccentricity of 0.36 superposed on an upward parabola. Although a final conclusion is somewhat premature at present, the latter seems more plausible because late-type contact binaries allow an inter-exchange of both energy and mass between the component stars. The quasi-sinusoidal characteristics were interpreted in terms of a light-time effect due to an unseen tertiary component. The minimum masses of the tertiary component for both cases were calculated to be nearly the same as the $0.23-0.26M\;{\odot}$-ranges which is hardly detectable in a light curve synthesis. The upward parabolic O-C diagram corresponding to a secular period increase of about $4.12{\times}10^{-8}\;d/yr$ was interpreted as mass being transferred from the lesser to more massive component. The transfer rate for a conservative case was calculated to be about $2.66\;{\times}\;10^{-8}\;M_{\odot}/yr$ which is compatible with other W UMa-type contact binaries.

대형 뉴매틱케이슨의 주면마찰력 산정 (Evaluation of Skin Friction to Large Size Pneumatic Caissons)

  • 홍원표;여규권;김태형
    • 한국지반공학회논문집
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    • 제20권4호
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    • pp.15-27
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    • 2004
  • 본 연구에서는 현재까지 연구된 깊은 기초의 주면마찰력 산정법에 의해 제안된 방법들을 검토하여 대형기초인 케이슨(우물통)기초에 대하여 주면마찰력을 적절히 산정할 수 있는 산정법을 제시하였다. 특히 홍원표(1987)가 제안안 주면마찰력 산정법을 기본 토대로 하여 새로운 주면마찰력 산정방법(Kn계수법)을 제시하였다. 그리고 깊은기초인 말뚝의 주면마찰력을 합리적으로 산정할 수 있다고 알려진 $\lambda$법을 이용한 케이슨의 주면마찰력 산정에 대해서도 검토하였다. 이를 위해 영종대교 주탑하부구조인 뉴매틱케이슨 기초의 시공시 계측된 주면마찰력 데이터를 이용하였다. 주면마찰력은 침설속도에 비례하며 주면마찰력의 분포양상은 직선분포보다 포물선분포에 가깝다. 저부가 확대되는 대규모 케이슨기초 침설시 발생하는 주면마찰력 산정결과 일반적인 말뚝기초의 주면마찰력과는 상이하다. 제안된 Kn계수법과 $\lambda$법을 각각 사용하여 산정한 케이슨의 주면마찰력을 실제 케이슨의 계측값으로부터 산정한 주면마찰력과 비교한 결과, Kn계수법를 이용하여 산정한 케이슨의 주면마찰력은 $\lambda$법에 의해 산정된 주면마찰력보다 실측값에 훨씬 근접하다. 즉, 저부가 확대된 형상의 대형의 케이슨기초의 주면마찰력을 산정하기에는 홍원표가 제안한 식을 이용한 Kn계수법이 $\lambda$법보다 더 적절한 방법임을 알 수 있다.

W UMa형 접촉쌍성 AB And의 주기변화 (PERIOD CHANGE OF W UMa TYPE CONTACT BINARY AB And)

  • 진호;한원용;김천휘;이재우;이우백
    • Journal of Astronomy and Space Sciences
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    • 제14권2호
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    • pp.242-250
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    • 1997
  • W UMa형 접촉쌍성 AB And의 BVR CCD 측광 관측을 1994년 9월부터 1996년 10까지 4일간 수행하여 4개의 새로운 극심 시간을 결정하였다. 이 극심 시각과 이제까지 발표된 모든 극심 시각을 분석하여 AB And의 주기변화의 양상을 연구하였다. AB And의 주기변화를 sine 함수와 같이 규칙적으로 변한다고 가정하여, 관측된 극심 시간을 가장 잘 맞추는 광도 요소를 구하였다. 이 광도요소의 sine 항으로부터 계산된 AB And의 공전주기 변화는 약 0.059일의 진폭으로 약 92년 주기로 규칙적으로 변화하고 있다. 그러나 가장 최근에 관측된 이 연구의 극심 시각들은 이 광도요소에서 예측한 극심 시각들보다 다소 크게 나타나고 있다. 따라서, 우리는 AB An의 공전주기가 sine 함수 외에도 포물선 형태로 변한다고 가정하고 관측된 극심 시각을 가장 잘 맞추는 광도요소를 구하였다. 이 광도요소의 이차항으로 계산된 AB And의 공전주기는 100년에 약 0.73초만큼 영 년 증가하는 동시에, sine 항으로부터 약 62.9년 주기와 0.024일의 진폭으로 규칙적으로 변화한다는 것을 알 수 있었다. 따라서 향후 10년 이내에는 AB And의 공전주기는 sine 항만을 고려하면 주기 감소를 해야하고, 이차항까지 고려하면, 주기 증가가 예측되므로, AB And의 주기변화에 대한 명확한 해답을 위해서 지속적인 관측이 요구된다.

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