• Steel and Composite Structures
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• 제19권2호
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• pp.369-384
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• 2015

This work presents a free vibration analysis of functionally graded metal-ceramic (FG) beams with considering porosities that may possibly occur inside the functionally graded materials (FGMs) during their fabrication. For this purpose, a simple displacement field based on higher order shear deformation theory is implemented. The proposed theory is based on the assumption that the transverse displacements consist of bending and shear components in which the bending components do not contribute toward shear forces and, likewise, the shear components do not contribute toward bending moments. The most interesting feature of this theory is that it accounts for a quadratic variation of the transverse shear strains across the thickness, and satisfies the zero traction boundary conditions on the top and bottom surfaces of the beam without using shear correction factors. In addition, it has strong similarities with Euler-Bernoulli beam theory in some aspects such as equations of motion, boundary conditions, and stress resultant expressions. The rule of mixture is modified to describe and approximate material properties of the FG beams with porosity phases. By employing the Hamilton's principle, governing equations of motion for coupled axial-shear-flexural response are determined. The validity of the present theory is investigated by comparing some of the present results with those of the first-order and the other higher-order theories reported in the literature. Illustrative examples are given also to show the effects of varying gradients, porosity volume fraction, aspect ratios, and thickness to length ratios on the free vibration of the FG beams.

• Steel and Composite Structures
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• 제43권1호
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• pp.79-90
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• 2022

In this study, the dynamic behavior of functionally graded layered deep beams with viscoelastic core is investigated including the porosity effect. The material properties of functionally graded layers are assumed to vary continuously through thickness direction according to the power-law function. To investigate porosity effect in functionally graded layers, three different distribution models are considered. The viscoelastically cored deep beam is exposed to harmonic sinusoidal load. The composite beam is modeled based on plane stress assumption. The dynamic equations of motion of the composite beam are derived based on the Hamilton principle. Within the framework of the finite element method (FEM), 2D twelve -node plane element is exploited to discretize the space domain. The discretized finite element model is solved using the Newmark average acceleration technique. The validity of the developed procedure is demonstrated by comparing the obtained results and good agreement is detected. Parametric studies are conducted to demonstrate the applicability of the developed methodology to study and analyze the dynamic response of viscoelastically cored porous functionally graded deep beams. Effects of viscoelastic parameter, porosity parameter, graduation index on the dynamic behavior of porous functionally graded deep beams with viscoelastic core are investigated and discussed. Material damping and porosity have a significant effect on the forced vibration response under harmonic excitation force. Increasing the material viscosity parameters results in decreasing the vibrational amplitudes and increasing the vibration time period due to increasing damping effect. Obtained results are supportive for the design and manufacturing of such type of composite beam structures.

• Earthquakes and Structures
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• 제22권1호
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• pp.1-13
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• 2022

When a building suffers damages under moderate to severe loading condition, its physical properties such as damping and stiffness parameters will change. There are different practical methods besides various numerical procedures that have successfully detected a range of these changes. Almost all the previous proposed methods used to work with translational components of mode shapes, probably because extracting these components is more common in vibrational tests. This study set out to investigate the influence of using both rotational and translational components of mode shapes, in detecting damages in 3-D steel structures elements. Three different sets of measured components of mode shapes are examined: translational, rotational, and also rotational/translational components in all joints. In order to validate our assumptions two different steel frames with three damage scenarios are considered. An iterative model updating program is developed in the MATLAB software that uses the OpenSees as its finite element analysis engine. Extensive analysis shows that employing rotational components results in more precise prediction of damage location and its intensity. Since measuring rotational components of mode shapes still is not very convenient, modal dynamic expansion technique is applied to generate rotational components from measured translational ones. The findings indicated that the developed model updating program is really efficient in damage detection even with generated data and considering noise effects. Moreover, methods which use rotational components of mode shapes can predict damage's location and its intensity more precisely than the ones which only work with translational data.

• Advances in concrete construction
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• 제14권3호
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• pp.169-183
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• 2022

In this article, vibrational behavior and wave propagation characteristics in (FG) functionally graded plates resting on Kerr foundation with three parameters is studied using a 2D dimensional (HSDT) higher shear deformation theory. The new 2D higher shear deformation theory has only four variables in field's displacement, which means has few numbers of unknowns compared with others theories. The shape function used in this theory satisfies the nullity conditions of the shear stresses on the two surfaces of the FG plate without using shear correction factors. The FG plates are considered to rest on the Kerr layer, which is interconnected with a Pasternak-Kerr shear layer. The FG plate is materially inhomogeneous. The material properties are supposed to vary smoothly according to the thickness of the plate by a Voigt's power mixing law of the volume fraction. The equations of motion due to the dynamics of the plate resting on a three-parameter foundation are derived using the principle of minimization of energies; which are then solved analytically by the Navier technique to find the vibratory characteristics of a simply supported plate, and the wave propagation results are derived by using the dispersion relations. Perceivable numerical results are fulfilled to evaluate the vibratory and the wave propagation characteristics in functionally graded plates and some parameters such wave number, thickness ratio, power index and foundation parameters are discussed in detail.

• Computers and Concrete
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• 제32권1호
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• pp.75-85
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• 2023

This work utilizes simplified higher-order shear deformation beam theory (HSDBT) to investigate the vibration response for functionally graded carbon nanotube-reinforced composite (CNTRC) beam. Novel to this work, single-walled carbon nanotubes (SWCNTs) are distributed and aligned in a matrix of polymer throughout the beam, resting on a viscoelastic foundation. Four un-similar patterns of reinforcement distribution functions are investigated for the CNTRC beam. Porosity is another consideration taken into account due to its significant effect on functionally graded materials (FGMs) properties. Three types of uneven porosity distributions are studied in this study. The damping coefficient and Winkler's and Pasternak's parameters are considered in investigating the viscosity effect on the foundation. Moreover, the impact of different parameters on the vibration of the CNTRC beam supported by a viscoelastic foundation is discussed. A comparison to other works is made to validate numerical results in addition to analytical discussions. The findings indicate that incorporating a damping coefficient can improve the vibration performance, especially when the spring constant factors are raised. Additionally, it has been noted that the fundamental frequency of a beam increases as the porosity coefficient increases, indicating that porosity may have a significant impact on the vibrational characteristics of beams.

• 한국음향학회지
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• 제25권4호
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• pp.164-171
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• 2006

임의의 등방성재료에 대한 종파, 횡파 및 누설표면파의 음속을 알면 해석적으로 그 재료의 탄성정수와 밀도를 산출할 수 있다. 종래, 그 음속들은 각각 다른 진동모드를 갖는 세 개의 초음파 트랜스듀서에 의해 측정되어져 왔다. 본 연구에서는 하나의 트랜스듀서에 의해 그 세 가지 파의 개략적인 음속을 동시에 측정하기위한 전극분할형 PVDF 직선집속 초음파 트랜스듀서를 새로이 제안하고, 설계, 제작하였다. 그리고 그것에 의한 각 파의 음속측정 방법을 확립한 후, 용융석영 등 몇몇 등방성재료에 적용하였다. 또한, 측정된 각 파의 음속을 이용하여 탄성 강성정수 및 밀도를 산출하고, 각 값들의 오차를 검토하였는데, 얻어진 값들은 문헌치와 비교적 잘 일치함을 알 수 있었다.

• 광물과 암석
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• 제36권4호
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• pp.355-363
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• 2023

지구물질에 존재하는 안정 동위원소의 평형상태에서의 분화(equilibrium isotope fractionation of stable isotope)는 물질의 진동 특성(vibrational properties)에 기인하며, 지구물질이 지구시스템 내에서 겪는 다양한 지질학적 과정들을 정량적으로 이해하는 데 도움을 준다. 본 연구에서는 H₂O 분자의 clumped 동위원소의 특성을 양자화학계산을 이용하여 규명하였다. 특히, 산소 동위원소(¹⁶O, ¹⁷O, ¹⁸O)와 수소 동위원소(수소, 중수소, 삼중수소)의 조합으로 구성된 H₂O 분자에 대한 산소와 수소 동위원소간의 clumping 세기를 정량적으로 계산하고, 온도 변화에 따른 clumping 세기 변화 패턴을 분석하였다. 최적화된 분자구조의 평형 결합길이(bond length)와 결합각(bond angle)은 분자의 질량수와 무관하며, 각각 0.9631-0.9633 Å과 104.59-104.62°로 일정하였다. H₂O 분자의 3개의 진동 모드의 진동수는 동위원소 질량수가 증가함에 따라 감소하였으며, 산소보다 수소 동위원소의 변화에 더 큰 영향을 받는다. 진동수를 바탕으로 계산된 동위원소 치환반응의 평형상수 또한 수소 동위원소 질량수에 따라 더 큰 변화 양상을 보인다. 무거운 동위원소 조합의 clumping 반응의 평형상수는 로그값에서 강한 선형 상관관계를 지시한다. 세 동위원소 조합의 상대적인 clumping 강도는 HD¹⁸O에 대하여 각각 1.86배(HT¹⁸O), 1.16배(HT¹⁷O), 0.703배(HD¹⁷O)로 나타났다. Clumping의 세기인 Δ₂₁ 값은 온도의 증가에 따라 감소하며 이차 상관관계를 보인다. 이는 Δ₂₁이 온도 환경 지시자로서 이용될 가능성이 있음을 지시한다. 본 계산 결과는 ¹⁷O와 삼중수소를 포함한 clumped 동위원소 분배의 경향을 최초로 정립한 연구이다. 향후, 자연계에서 산소-수소 동위원소 조성의 기원을 보다 정량적으로 이해하기 위하여 비조화적(anharmonicity) 진동이 고려된 동위원소 분배계수의 계산 또한 필요하다. 상기한 연구 결과는 H₂O 분자의 다양한 지표환경에서의 clumped 동위원소의 측정과 이를 기반으로 한 지질환경 변화 기작을 설명하는 데 사용될 것으로 기대한다.

• 한국진공학회:학술대회논문집
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• 한국진공학회 2015년도 제49회 하계 정기학술대회 초록집
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• pp.64-64
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• 2015

Control of plasma processing methodologies can only occur by obtaining a thorough understanding of the physical and chemical properties of plasmas. However, all plasma processes are currently used in the industry with an incomplete understanding of the coupled chemical and physical properties of the plasma involved. Thus, they are often 'non-predictive' and hence it is not possible to alter the manufacturing process without the risk of considerable product loss. Only a more comprehensive understanding of such processes will allow models of such plasmas to be constructed that in turn can be used to design the next generation of plasma reactors. Developing such models and gaining a detailed understanding of the physical and chemical mechanisms within plasma systems is intricately linked to our knowledge of the key interactions within the plasma and thus the status of the database for characterizing electron, ion and photon interactions with those atomic and molecular species within the plasma and knowledge of both the cross-sections and reaction rates for such collisions, both in the gaseous phase and on the surfaces of the plasma reactor. The compilation of databases required for understanding most plasmas remains inadequate. The spectroscopic database required for monitoring both technological and fusion plasmas and thence deriving fundamental quantities such as chemical composition, neutral, electron and ion temperatures is incomplete with several gaps in our knowledge of many molecular spectra, particularly for radicals and excited (vibrational and electronic) species. However, the compilation of fundamental atomic and molecular data required for such plasma databases is rarely a coherent, planned research program, instead it is a parasitic process. The plasma community is a rapacious user of atomic and molecular data but is increasingly faced with a deficit of data necessary to both interpret observations and build models that can be used to develop the next-generation plasma tools that will continue the scientific and technological progress of the late 20th and early 21st century. It is therefore necessary to both compile and curate the A&M data we do have and thence identify missing data needed by the plasma community (and other user communities). Such data may then be acquired using a mixture of benchmarking experiments and theoretical formalisms. However, equally important is the need for the scientific/technological community to recognize the need to support the value of such databases and the underlying fundamental A&M that populates them. This must be conveyed to funders who are currently attracted to more apparent high-profile projects.

• 한국결정성장학회지
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• 제9권5호
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• pp.447-453
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• 1999

Czochralski법으로 congruent한 조성(48.6 mol% $LiNbO_2$)과 $LiNbO_3$: Mg(4.5, 6.0, 10.0, 20.0mol%), $LiNbO_3$ : Mn(0.1 mol%), $LiNbO_3$: Fe(0.05 mol%), $LiNbO_3$ : (Mg(4.5)+Mn(0.1), Fe(0.05 mol%)), LiNbO3 : (Mg(20.0)+Mn(0.1), Fe(0.05 mol%))인 융액으로부터 결정을 c-축 방향으로 성장시켰다. 이 결정들은 상온에서의 XRD pattern과 상온~$1230^{\circ}C$의 온도영역과 100Hz~10MHz의 주파수영역에서의 유전상수, 상온에서의 UV_VIS, IR 스펙트럼, 결정내의 Mn2+, Fe3+ 이온에 대한 ESR 스펙트럼 등을 측정하였는데 XRD pattern과 상전이 온도, UV 흡수단, OH- 이온에 의한 스펙트럼, ESR 스펙트럼 등의 Mg첨가량 의존성으로부터 Mg가 첨가된 $LiNbO_3$ 결정의 결함구조에 대해서 논의하였다. congruent한 $LiNbO_3$결정과 Mg를 첨가한 $LiNbO_3$ 결정에서의 Mn2+ 이온은 Mg의 첨가량에 관계없이 Li+을 치환한다. 그러나 congruent한 $LiNbO_3$ 결정과 Mg를 첨가한 $LiNbO_3$ 결정에서의 Fe3+ 이온은 Mg가 4.5 mol% 첨가된 결정에서는 Li+ 자리를 Mg가 6.0 mol% 이상 첨가된 결정에서는 {{{{ { Nb}`_{Li } ^{5+ } }}}} 자리를 치환한다.

• 한국근적외분광분석학회:학술대회논문집
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• 한국근적외분광분석학회 2001년도 NIR-2001
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• pp.1281-1281
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• 2001

Near-infrared (NIR) spectra have bean measured for high-density (HDPE), linear low-density (LLDPE), and low-density (LDPE) polyethylene in pellet or thin films. The obtained spectra have been analyzed by conventional spectroscopic analysis methods and chemometrics. By using the second derivative, principal component analysis (PCA), and two-dimensional (2D) correlation analysis, we could separate many overlapped bands in the NIR. It was found that the intensities of some bands are sensitive to density and crystallinity of PE. This may be the first time that such bands in the NIR region have ever been discussed. Correlations of such marker bands among the NIR spectra have also been investigated. This sort of investigation is very important not only for further understanding of vibration spectra of various of PE but also for quality control of PE by vibrational spectroscopy. Figure 1 (a) and (b) shows a NIR reflectance spectrum of one of the LLDPE samples and that of PE, respectively. Figure 2 shows a PC weight loadings plot of factor 1 for a score plot of PCA for the 16 kinds of LLDPE and PE based upon their 51 NIR spectra in the 1100-1900 nm region. The PC loadings plot separates the bands due to the $CH_3$ groups and those arising form the $CH_2$ groups, allowing one to make band assignments. The 2D correlation analysis is also powerful in band enhancement, and the band assignments based upon PCA are in good agreement with those by the 2D correlation analysis.(Figure omitted). We have made a calibration model, which predicts the density of LLDPE by use of partial least square (PLS) regression. From the loadings plot of regression coefficients for the model , we suggest that the band at 1542, 1728, and 1764 nm very sensitive to the changes in density and crystalinity.