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        Multi-objective optimization of hygro-thermally curvature-stable antisymmetric laminates with extension-twist coupling

        Jin Li,Dao-Kui Li 대한기계학회 2014 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.28 No.4

        This paper investigates hygro-thermally curvature-stable (HTCS) antisymmetric laminates with extension-twist coupling. Stacking sequencesare designed to obtain optimal extension-twist coupling and buckling strength. A new objective function that maximizes bothextension-twist coupling and buckling strength is established by using the weighted sum method. Multi-objective optimization of HTCSantisymmetric laminates is performed for T300/976 graphite/epoxy laminates. Results are presented for the laminates that consist of 6-14even plies. The effects of the weighting coefficients on the extension-twist coupling and buckling load are analyzed. The robustness ofthe optimization method is verified by using Monte Carlo simulation for laminates with fiber orientation that slightly deviates from thetheoretically designed direction.

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        Frequency shift of a nanomechanical sensor carrying a nanoparticle using nonlocal Timoshenko beam theory

        Zhi-Bin Shen,Dao-Kui Li,Dong Li 대한기계학회 2012 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.26 No.5

        "The frequency shift of a nanomechanical sensor carrying a nanoparticle is studied. A bridged single-walled carbon nanotube (SWCNT)carrying a nanoparticle is modeled as a clamped micro-beam with a concentrated micro-mass at any position. Based on the nonlocal Timoshenko theory of beams, which incorporates size effects into the classical theory, the natural frequencies of the nanomechanical sensor are derived using the transfer function method. The effects of the mass and position of the nanoparticle on the frequency shift are discussed. In the absence of the nonlocal effect, the frequencies are reduced to the results of the classical model, in agreement with those using the finite element method. The obtained results show that when the mass of the attached nanoparticle increases or its location is close to the beam center, the natural frequency decreases, but the shift in frequency increases. The effect of the nonlocal parameter on the frequency shift is significant. Decreasing the length-to-diameter ratio also increases the frequency shift. The natural frequencies and shifts are strongly affected by rotary inertia, and the nonlocal Timoshenko beam model is more adequate than the nonlocal Euler-Bernoulli beam model for short nanomechanical sensors. The obtained results are helpful in the design of SWCNT-based resonator as nanomechanical mass sensor."

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        Vibration of nonuniform carbon nanotube with attached mass via nonlocal Timoshenko beam theory

        Hai-Li Tang,Zhi-Bin Shen,Dao-Kui Li 대한기계학회 2014 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.28 No.9

        This paper studies the vibrational behavior of nonuniform single-walled carbon nanotube (SWCNT) carrying a nanoparticle. A nonuniformcantilever beam with a concentrated mass at the free end is analyzed according to the nonlocal Timoshenko beam theory. Agoverning equation of a nonuniform SWCNT with attached mass is established. The transfer function method incorporating with theperturbation method is utilized to obtain the resonant frequencies of a vibrating nonlocal cantilever-mass system. The effects of thenonlocal parameter, taper ratio and attached mass on the natural frequencies and frequency shifts are discussed. Obtained results indicatethat the sensitivity of the frequency shifts on the attached mass increases when the length-to-diameter ratio decreases. Tapered SWCNTpossesses higher fundamental frequencies if the taper ratio becomes larger.

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