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In this study, longitudinal dynamic derivatives of an airfoil of the type NACA 6-series, oscillating in pitching and plunging motions were calculated using variation of pitching moment coefficients with angle of attack in various conditions, based on wind tunnel data. Various parameters of the tests were mean angle of attack, reduced frequency and amplitude of oscillation. To calculate the longitudinal dynamic derivatives in harmonic oscillations, the Taylor's series and integral of Fourier were used. Both the methods had the same results and could be extended to each flight vehicles. The effect of parameters on variation of longitudinal oscillatory derivatives was investigated, in three different regions of oscillation: before, over and post stall conditions. The results showed that variation of the longitudinal oscillatory coefficients with angle of attack is different in the pre-stall and over stall conditions with respect to post-stall region. The effect of reduced frequency on stability of the motion is different for two types of oscillations. Increasing the reduced frequency resulted in reducing the stability of plunging motion, but has a little effect on the stability of pitching motion.

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The purpose of this paper is to deal with fracture behavior of carbon nanotubes with presenting a revised structural molecular mechanics model in the finite element method. Structural molecular mechanics modified model, uses a three-dimensional beam element with general section to make nanotube structural model in which bending stiffness and inversion are defined independently. In analysis which are done, a bridged carbon nanotube with constant strain rate is examined under tensile stress until the failure of nanotube. Carbon-carbon bonds behavior has been assumed nonlinearly and will be ruptured when the strain reaches 19%. It is predicted that fracture behavior in carbon nanotubes depends on the environment temperature due to mechanical behavior of carbon nanotube's bonds. Based on the present research, we found that by increasing the temperature, Poisson's ratio increases and Young's modulus decreases. Further, it can be said while the temperature increases, both the fracture ultimate strain and stress decrease. Finally, a nonlinear relationship is presented in which the constants depend on chirality of the carbon nanotubes.