• Title/Summary/Keyword: combination resonance

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Stability of Nonlinear Oscillations of a Thin Cantilever Beam Under Parametric Excitation (매개 가진되는 얇은 외팔보의 비선형 진동 안정성)

  • Bang, Dong-Jun;Lee, Gye-Dong;Jo, Han-Dong;Jeong, Tae-Gun
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.18 no.2
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    • pp.160-168
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    • 2008
  • This paper presents the study on the stability of nonlinear oscillations of a thin cantilever beam subject to harmonic base excitation in vertical direction. Two partial differential governing equations under combined parametric and external excitations were derived and converted into two-degree-of-freedom ordinary differential Mathieu equations by using the Galerkin method. We used the method of multiple scales in order to analyze one-to-one combination resonance. From these, we could obtain the eigenvalue problem and analyze the stability of the system. From the thin cantilever experiment using foamax, we could observe the nonlinear modes of bending, twisting, sway, and snap-through buckling. In addition to qualitative information, the experiment using aluminum gave also the quantitative information for the stability of combination resonance of a thin cantilever beam under parametric excitation.

Parametric and Combination Resonances of at Straight Pipe with Pulsatile Flow (조화유동을 갖는 직선 파이프의 매개변수공진 해석)

  • Hong, Sung-Chul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.12 s.255
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    • pp.1588-1595
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    • 2006
  • The stabilities of a pinned-pinned straight pipe conveying fluid are investigated by complexification-averaging method. The flow is assumed to vary harmonically about a constant mean velocity. Instability conditions of a governing equation are analytically obtained about parametric primary, secondary and combination resonances. The resulted stability conditions show that instabilities exist when the frequency of flow fluctuation is close to one and two times the natural frequency or to the sum of any two natural frequencies. In case that the fluctuated flow frequency is close to the difference of two natural frequencies, instabilities does not exist.

Solid State Dynamic Nuclear Polarization of 1H Nuclear Spins at 0.3 T and 4.2 K

  • Shim, Jeong Hyun
    • Journal of the Korean Magnetic Resonance Society
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    • v.21 no.4
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    • pp.114-118
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    • 2017
  • Here, I report solid state Dynamic Nuclear Polarization (DNP) of $^1H$ nuclear spins at 0.3 T and 4.2 K. The DNP polarizer was developed based on a commercial X-band Electron Spin Resonance (ESR) modified for DNP, in combination with a NMR console and a liquid-Helium cryostat. By detuning magnetic field, DNP spectrum was measured to find the optimal condition. At +3 mT detuned from on-resonance field, $^1H$ NMR signal of 60:40 glycerol/water frozen solution doped with 20 mM perdeuterated-Tempone was amplified 43 times. The $^1H$ spin polarization obtained at 4.2 K is over 3100 times higher than that at 300 K. The width of the DNP spectrum, which is five times broader than ESR spectrum, is inconsistent with solid effect or thermal mixing, and presumably suggests a different DNP mechanism.

Non-Planar Non-Linear Vibration Phenomenon on the One to One Resonance of the Circular Cantilever Beam (원형 외팔보의 일대일 공진에서의 비평면 비선형 진동현상)

  • Park Chul-Hui;Cho Chongdu;Kim Myoung-Gu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.30 no.2 s.245
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    • pp.171-178
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    • 2006
  • Experimental and theoretical study of the non-planar response motions of a circular cantilever beam subject to base harmonic excitation has been presented in this paper work. Theoretical research is conducted using two non-linear coupled integral-differential equations of motion. These equations contain cubic linearities due do curvature term and inertial term. A combination of the Galerkin procedure and the method of multiple scales are used to construct a first-order uniform expansion for the case of one-to-one resonance. The results show that the non-linear geometric terms are very important for the low-frequency modes of the first and second mode. The non-linear inertia terms are also important for the high-frequency modes. We present the quantitative and qualitative results for non-planar motions of the dynamic behavior.

A New Method for Antimicrobial Susceptibility Testing of Vitro-cultured Bacteria by Means of Resonance Light Scattering Technique

  • Shi, Yu-Jun;Chen, Jun;Xu, Ming
    • Journal of Microbiology and Biotechnology
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    • v.18 no.1
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    • pp.118-123
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    • 2008
  • A new method for antimicrobial susceptibility testing of vitro-cultured bacteria on an ordinary fluorescence spectrometer was developed. The viable bacteria reduced 3-(4,5 dimethylthiazol-2-yl)-2,5-diphenyl tetrazolium bromide (MTT) to produce insoluble particles that displayed intense resonance scattering light. The assay showed a linear relationship between the number of viable bacteria and the intensity of resonance scattering light. Dead bacteria were unable to reduce MTT. Methicillin-resistant Staphylococcus aureus exposed to flavonoids from Marchantia convoluta showed a flavonoids concentration-dependent inhibition of the ability to reduce MTT. In the assay, less than 12 h was required to attain susceptibility results and fewer bacteria were utilized than in traditional methods. The RLS technique could, in combination with the MTT assay, be a rapid and sensitive measuring method to determine the in vitro activity of new antimicrobials.

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.

Four sesquiterpenes isolated from a Marine Sponge Topsentia species

  • Rho, Jung-Rae
    • Journal of the Korean Magnetic Resonance Society
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    • v.18 no.2
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    • pp.82-88
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    • 2014
  • Three bicyclic and one monocyclic sesquiterpenoids were isolated from the marine sponge Topsentia species. Their planar structures were completely determined from a combination of extensive 1D and 2D NMR experiments, and also the relative stereochemistry on the chiral centers were established by the ROESY experiment. Compound 1 was determined as a new stereoisomer. Furthermore, the NMR spectral data for compounds 2 and 4, of which have not been reported, were listed. Four compounds did not show any cytotoxicity, instead compound 4 exhibited moderate antifungal activity against Candida albicans.

MULTIPLE PERIODIC SOLUTIONS OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS ACROSS RESONANCE

  • Cai, Hua;Chang, Xiaojun;Zhao, Xin
    • Bulletin of the Korean Mathematical Society
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    • v.51 no.5
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    • pp.1433-1451
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    • 2014
  • In this paper we study the existence of multiple periodic solutions of second-order ordinary differential equations. New results of multiplicity of periodic solutions are obtained when the nonlinearity may cross multiple consecutive eigenvalues. The arguments are proceeded by a combination of variational and degree theoretic methods.

Electron Paramagnetic Resonance Study of Bis(N-methyl-2-amino-1-cyclopentenedithiocarboxylato)Copper (II)

  • Woo-Seong Kim;Young-Inn Kim;Sung-Nak Choi
    • Bulletin of the Korean Chemical Society
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    • v.11 no.2
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    • pp.85-88
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    • 1990
  • The electron paramagnetic resonance (EPR) spectrum of the copper (II) complex with the 2-methylamino-1-cyclo-pentene-1-dithiocarboxylate (acdc) anion, $Cu(N-CH_3acdc)_2$ has been studied in the diamagnetic host lattices afforded by the corresponding divalent nickel, zinc, cadmium and mercury complexes. EPR parameters of the complex support the exclusive use of sulfur atoms by the ligand in metal binding. A combination of host lattice structure and covalency effects can be account for the observed spin-Hamiltonian parameters.

Heteronuclear NMR studies on 44 kDa dimer, syndesmos

  • Kim, Heeyoun;Lee, Inhwan;Han, Jeongmin;Cheong, Hae-kap;Kim, Eunhee;Lee, Weontae
    • Journal of the Korean Magnetic Resonance Society
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    • v.19 no.2
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    • pp.83-87
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    • 2015
  • Syndesmos, which is co-localized with syndecan-4 cytoplasmic domain ($Syn4^{cyto}$) in focal contacts, interacts with various cell adhesion adaptor proteins including $Syn4^{cyto}$ to control cell signaling. Syndesmos consists of 211 amino acids and it exists as a dimer (44kDa) in solution. Recently, we have determined the structure of syndesmos by x-ray crystallography, however, dynamics related to syndecan binding still remain elusive. In this report, we performed NMR experiments to acquire biochemical and structural information of syndesmos. Based on a series of three-dimensional triple resonance experiments on a $^{13}C/^{15}N/^2H$ labeled protein, NMR spectra were obtained with well dispersed and homogeneous NMR data. We present the sequence specific backbone assignment of syndesmos and assigned NMR data with combination structural information can be directly used for the studies on interaction with $Syn4^{cyto}$ and other binding molecules.