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Free-piston engines are investigated by a number of research groups worldwide, with potential advantages of high-efficiency and low-emissions. Hydraulic free-piston diesel engine, which combines a two-stroke diesel engine and a hydraulic pump, could be an alternative to conventional technology in applications. It can fulfill the power requirements of vehicle under optimum operation conditions, only...
In this paper, the bending and stretching elastic potential energies are considered in calculating Hamilton actuating quantity. In the meantime, the mass density of the filament and the friction force are also considered. The normal mode analysis yields eigenfunctions and eigenvalues. In the dynamical equation of polymer chains without a Brownian force, two cases of ζ 2 -4ρξ n >0...
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