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정전기력 가진에 의한 외팔보형 탄소나노튜브 공진기의 비선형 동적 응답
김일광(Kim, Il-Kwang),이수일(Lee, Soo-Il) 한국소음진동공학회 2011 한국소음진동공학회 논문집 Vol.21 No.9
This paper predicted nonlinear dynamic responses of a cantilevered carbon nanotube(CNT) resonator incorporating the electrostatic forces and van der Waals interactions between the CNT cantilever and ground plane. The structural model of CNT includes geometric and inertial nonlinearities to investigate various phenomena of nonlinear responses of the CNT due to the electrostatic excitation. In order to solve this problem, we used Galerkin's approximation and the numerical integration techniques. As a result, the CNT nano-resonator shows the softening effect through saddle-node bifurcation near primary resonance frequency with increasing the applied AC and DC voltages. Also we can predict nonlinear secondary resonances such as superharmonic and subharmonic resonances. The superharmonic resonance of the nano-resonator is influenced by applied AC voltage. The period-doubling bifurcation leads to the subharmonic resonance which occurs when the nano-resonator is actuated by electrostatic forces as parametric excitation.
정전기력 가진에 의한 외팔보형 탄소나노튜브 공진기의 비선형 동적 응답
김일광(Il Kwang Kim),이수일(Soo Il Lee) 한국소음진동공학회 2011 한국소음진동공학회 학술대회논문집 Vol.2011 No.4
This paper predicted the dynamic behaviors of a cantilevered carbon nanotube(CNT) incorporating the electrostatic force, van der Waals interactions between the CNT and ground plane. The structural model of the CNT includes geometric and inertial nonlinearities for predicting various phenomena of nonlinear responses of the CNT due to the electrostatic force. In order to solve the problem, we used Galerkin’s approximation and the numerical integration techniques and as a result, we predicted characteristics of nonlinear response of nano resonator. The cantilevered CNT shows complex dynamic responses and instabilities due to the applied dc and ac voltages, and driving frequencies. The results investigated in this paper are helpful to the modeling of nanotube based electromechanical devices such as nano-resonators and nano-sensors.
Co(Ⅱ)$(dimethyl bipyridine)_3(ClO_4)_2$의 전기화학적 성질과 산소환원에 대한 전극 촉매 효과
김일광,박종술,한완수,김윤근,전일철,Kim, Il Kwang,Park, Chong Sool,Han, Wan Soo,Kim, Youn Keun,Jeon, Il Cheol 대한화학회 1997 대한화학회지 Vol.41 No.8
Co$(dimethyl bipyridine)_3(ClO_4)_2$의 확산계수$(D_0)$와 전극반응속도상수$(K_0)$를 순환전압전류법과 대시간전류법으로 구하였다. 확산계수에 대한 용매, 농도, 주사속도 등의 영향과 반응속도상수에 대한 온도변화의 영향을 조사하였다. 25$^{\circ}C$에서 확산계수는 $5.54{\times}10^{-6 }cm^2/sec$이었고, 반응속도상수는 $2.39{\times}10^{-3 }/s$ 이었으며, 용매의 점도가 커질수록 봉우리전류값과 확산계수는 감소하였다. 반응속도상수에 대한 온도의 영향으로부터, ${\Delta}G^{\neq},\;{\Delta}H^{\neq},\;{\Delta}S$ 등의 열역학적 파라미터를 구하였다. 이 화합물은 $O_2$분자의 환원에서 봉우리전류를 크게 증가시키고, 환원전위를 양(+)전위방향으로 이동시키는 열역학적 전극촉매현상을 보였다. Diffusion Coefficient$(D_0)$ and electrode reaction rate Constant$(K_0)$ of Co$(dimethyl bipyridine)_3(ClO_4)_2$ were determined by cyclic voltammetry and chronoamperometry. It was also investigated that the effects of solvent, concentration, and scan rate, etc. on the diffusion coefficient and the temperature effect on the rate constant. The peak currents and diffusion coefficients were dcreased as increasing the viscosity of solvent. Diffusion coefficient was $5.54{\times}10^{-6 }cm^2/sec$ and the reaction rate constant was $2.39{\times}10^{-3 }/s$ at 25$^{\circ}C$. The thermodynamic parameters such as ${\Delta}G^{\neq},\;{\Delta}H^{\neq},\;and\;{\Delta}S$ were calculated from plotting the reaction rate constants versus the solution temperatures. This compound was shown the catalytic effect on the oxygen reduction that the reduction peak current of oxygen was greatly enhanced and the peak potential was shifted to +0.2 volt.