• Title/Summary/Keyword: Stretching vibration

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Improved HSDT accounting for effect of thickness stretching in advanced composite plates

  • Bouhadra, Abdelhakim;Tounsi, Abdelouahed;Bousahla, Abdelmoumen Anis;Benyoucef, Samir;Mahmoud, S.R.
    • Structural Engineering and Mechanics
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    • v.66 no.1
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    • pp.61-73
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    • 2018
  • In this article, a higher shear deformation theory (HSDT) is improved to consider the influence of thickness stretching in functionally graded (FG) plates. The proposed HSDT has fewer numbers of variables and equations of motion than the first-order shear deformation theory (FSDT), but considers the transverse shear deformation influences without requiring shear correction coefficients. The kinematic of the present improved HSDT is modified by considering undetermined integral terms in in-plane displacements and a parabolic distribution of the vertical displacement within the thickness, and consequently, the thickness stretching influence is taken into account. Analytical solutions of simply supported FG plates are found, and the computed results are compared with 3D solutions and those generated by other HSDTs. Verification examples demonstrate that the developed theory is not only more accurate than the refined plate theory, but also comparable with the HSDTs which use more number of variables.

Composition Classification of Korea Ancient Glasses by Using Raman Spectroscopy (라만분광분석법을 이용한 한국 고대 유리의 조성 분류)

  • Sim, Woo Seok;Kim, Eun A;Lim, Soo Yeong;Kim, Hyung Min;Kim, Gyu Ho
    • Journal of Conservation Science
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    • v.38 no.2
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    • pp.117-123
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    • 2022
  • In this study, investigated the possibility of quantitatively and qualitatively analyzing Korean ancient glasses via Raman Spectroscopy. We subjected four categories of Korean traditional glasses, namely, lead-BaO, lead, potash, and soda glasses (3, 3, 10, and 10 pieces, respectively), to this analytical technique. The results showed significant differences between the stretching and bending Raman vibration regions corresponding to these different Korean ancient glass types. Specifically, the stretching vibration regions corresponding to lead-BaO and lead glasses showed peaks at 1040 and 1000 cm-1, respectively; the stretching vibration region of normal glass appears at 1100 cm-1. The bending vibration regions corresponding to potash and soda glass showed Raman peaks at 490 and 560 cm-1, respectively. Furthermore, the Raman spectra of the lead and lead-BaO glasses showed red shifts, which depended on the amount of PbO present. Thus, our findings highlighted the possibility of quantitatively determining the amount of PbO, a major component of lead glasses, via Raman Spectroscopy.

Density Functional Theory for Calculating the OH Stretching Frequency of Water Molecules

  • Jeon, Kiyoung;Yang, Mino
    • Journal of the Korean Chemical Society
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    • v.60 no.6
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    • pp.410-414
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    • 2016
  • The anharmonic frequency of a local OH stretching mode of a water monomer and dimer was calculated using various levels of density functional theory. The quantum chemical potential energy curves as a function of the OH bond distance were calculated, and they were fitted with the Morse potential function to analytically obtain the fundamental transition frequency. By comparing those values with the frequencies similarly calculated using an ab initio quantum chemical method, the coupled cluster theory including both single and double excitations with the perturbative inclusion of triple excitation in the complete basis limit, the accuracy of various density functional methods in the calculation of anharmonic vibration frequency of water molecules was assessed. For a water monomer, X3LYP and B3LYP methods give the best accuracy, whereas for a water dimer, B972, LCBLYP, ${\omega}B97X$, ${\omega}B97$ methods show the best performance.

High Pressure Effect of Vibration in a Hydrogen Bonding Crystal :$NH_4I$ (수소결합을 가진 결정내의 진동의 고압효과 : $NH_4I$)

  • Jeon Seung-Joon
    • Journal of the Korean Chemical Society
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    • v.36 no.5
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    • pp.627-631
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    • 1992
  • A simple one dimensional model was proposed to describe a hydrogen bonding in crystals, which was based on the Lippincott's empirical potential. The model was used to calculate internal stretching vibrational frequencies of $NH_4I$ crystal at high pressures. The calculated results were in agreement with Raman experimental results qualitatively. At relatively lower high pressures, as pressure increases internal stretching vibrational frequencies shift lower due to increase of the hydrogen bonding effect. At higher pressures, the frequencies shift higher due to the repulsive contribution of interatomic potential induced by the reduction of interatomic distance as pressure increases.

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Simultaneous Observation of Fe-F and F-Fe-F Stretching Vibrations of Fluoride Anion Ligated Tetraphenylporphyrin Iron(Ⅲ) by Resonance Raman Spectroscopy

  • 이인숙;신지영;남학현;김도균;팽기정
    • Bulletin of the Korean Chemical Society
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    • v.18 no.7
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    • pp.730-733
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    • 1997
  • Monofluoroiron(Ⅲ) tetraphenylporphyrin, Fe(TPP)F, and difluoroiron(Ⅲ) tetraphenylporphyrin, [Fe(TPP)F2]- were generated in a various non-aqueous solvents by the reaction between Fe(TPP)Cl and tetrabutylammonium fluoride TBAF 3H2O. Formation of the these complexes was detected by the appearance of the ν(F-Fe) (ν, stretching vibration) at 506 cm-1 for Fe(TPP)F and the ν(F-Fe-F) at 448 cm-1 for [Fe(TPP)F2]-, simultaneously, with 441.6 nm excitation by Resonance Raman (RR) spectroscopy. These assignments were confirmed by observed frequency shifts due to 56Fe/54Fe and TPP/TPP-d8/TPP-N15 isotopic substitutions. Difluoroiron complex is an iron(Ⅲ) high-spin complex with the oxidation sensitive band at 1347 cm-1 for ν4 and core size/spin state sensitive band at 1541 cm-1 for ν2.

Fermi Resonance and Solvent Dependence of the νC=O Frequency shifts of Raman Spectra: Cyclohecanone and 2-Cyclohexen-1-one

  • Nam, Sang Il;Min, Eun Seon;Jeong, Yeong Mi;Lee, Mu Sang
    • Bulletin of the Korean Chemical Society
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    • v.22 no.9
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    • pp.989-993
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    • 2001
  • The carbonyl stretching vibration, νC=O of 2-cyclohexene-1-one, is in Fermi resonance with a combination tone. The amount of Fermi resonance interaction between these two modes is dependent upon the amount of solute/solvent interaction due to hyd rogen bonding between the carbonyl oxygen and the solvent proton. The corrected νC=O frequency of 2-cyclohexene-1-one occurs at a lower frequency than the observed νC=O mode of cyclohexanone, possibly caused by expanded conjugation effects. The carbonyl stretching modes of cyclic ketones were also affected by interaction with the ROH/CCl4 mixed solvent system.

Novel quasi-3D and 2D shear deformation theories for bending and free vibration analysis of FGM plates

  • Younsi, Abderahman;Tounsi, Abdelouahed;Zaoui, Fatima Zohra;Bousahla, Abdelmoumen Anis;Mahmoud, S.R.
    • Geomechanics and Engineering
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    • v.14 no.6
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    • pp.519-532
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    • 2018
  • In this work, two dimensional (2D) and quasi three-dimensional (quasi-3D) HSDTs are proposed for bending and free vibration investigation of functionally graded (FG) plates using hyperbolic shape function. Unlike the existing HSDT, the proposed theories have a novel displacement field which include undetermined integral terms and contains fewer unknowns. The material properties of the plate is inhomogeneous and are considered to vary continuously in the thickness direction by three different distributions; power-law, exponential and Mori-Tanaka model, in terms of the volume fractions of the constituents. The governing equations which consider the effects of both transverse shear and thickness stretching are determined through the Hamilton's principle. The closed form solutions are deduced by employing Navier method and then fundamental frequencies are obtained by solving the results of eigenvalue problems. In-plane stress components have been determined by the constitutive equations of composite plates. The transverse stress components have been determined by integrating the 3D stress equilibrium equations in the thickness direction of the FG plate. The accuracy of the present formulation is demonstrated by comparisons with the different 2D, 3D and quasi-3D solutions available in the literature.

The Effects of Combined Exercise Program to Intra-City Bus Driver With Chronic Neck Pain : Case Report (만성 경부통을 가진 시내버스 운전기사에게 복합 운동프로그램의 효과 : 사례연구)

  • Ahn, Seung-won;Jung, Young-june
    • The Journal of Korean Academy of Orthopedic Manual Physical Therapy
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    • v.21 no.1
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    • pp.49-56
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    • 2015
  • Background: Although many of those who drive for a living are exposed to repetitive and awkward posture and whole body vibration which cause them cumulative trauma disorder, therapeutic studies related to the problems from the transport unit are still somewhat inadequate. The purpose of this case report is to identify the effect of combined exercise program on patients suffering chronic neck pain caused by long hour of intra-city bus driving. Method: A total of 4 subjects are selected as patients, all of whom have more than 10 years of experience in intra-city bus transportation services. These people have suffered from neck pain for years. We ran the combined exercise program 3 times a week for 4 weeks and respectively evaluated the results after the 2nd and 4th week. We implemented conventional physiotherapy for 40 minutes, another 40 minutes of combined exercise program, and then educated the patients to enable themselves to do active stretching program as a home program. The combined exercise program contained 3 different stages. 1st stage: active stretching program, 2nd stage combined stabilization exercise and strengthening exercise, 3rd stage: proprioceptive exercise Result: After 4 weeks of intervention, there was enhance in the range of motion. $12^{\circ}$ increase in flexion, $10^{\circ}$ in extension, $6^{\circ}$ in lateral flexion respectively, and $10^{\circ}$ in rotation on average. VAS(visual analgue scale) decreased by 33% on average, NDI(neck diability index) by 28% and fatigability by 23%. Conclusion: There were improved results in the range of motion, NDI, VAS, and in fatigability after applying combined exercise program to intra-city bus drivers exposed to whole body vibration and cumulative trauma disorder.

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Physical insight into Timoshenko beam theory and its modification with extension

  • Senjanovic, Ivo;Vladimir, Nikola
    • Structural Engineering and Mechanics
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    • v.48 no.4
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    • pp.519-545
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    • 2013
  • An outline of the Timoshenko beam theory is presented. Two differential equations of motion in terms of deflection and rotation are comprised into single equation with deflection and analytical solutions of natural vibrations for different boundary conditions are given. Double frequency phenomenon for simply supported beam is investigated. The Timoshenko beam theory is modified by decomposition of total deflection into pure bending deflection and shear deflection, and total rotation into bending rotation and axial shear angle. The governing equations are condensed into two independent equations of motion, one for flexural and another for axial shear vibrations. Flexural vibrations of a simply supported, clamped and free beam are analysed by both theories and the same natural frequencies are obtained. That fact is proved in an analytical way. Axial shear vibrations are analogous to stretching vibrations on an axial elastic support, resulting in an additional response spectrum, as a novelty. Relationship between parameters in beam response functions of all type of vibrations is analysed.

Flapwise Bending Vibration of Rotating Cantilever Beams (회전 외팔보의 면외방향 굽힘진동 해석)

  • 유홍희
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.2
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    • pp.348-353
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    • 1995
  • When cantilever beams rotate, their bending stiffnesses change due to the stretching caused by centrifugal inertia forces. Such phenomena result in variations of natural frequencies and mode shapes associated with constant speed rotational motions of the beams. These variations are important in many practical applications such as helicopter blades, turbomachines, and space structures. This paper presents the formulation of a set of linear equations governing the flapwise bending vibration of rotating cantilever beams. These equations can be used to provide accurate predictions of the variations of natural frequencies and mode shapes due to rotation.