转动薄壁圆柱壳行波振动响应分析

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Response to travelling wave vibration of thin rotating cylindrical shells with various boundary conditions is investiga- ted. Based on Sanders＇ shell theory, the differential equations of vibration of the thin rotating cylindrical shells taken into ac- count the effects of centrifugal and Coriolis forces as well as the initial hoop tension due to rotating are established using Hamil- toffs principle. Beam modal function satisfying the required end-conditions at both ends has been used to express the axial mo- dal function of the thin cylindrical shell with similar boundary conditions approximately. Then, through the process of formula derivation, the general solution of the displacement response which is caused by travelling wave vibration is derived. Finally, the general solution obtained is applied to investigate the vibration characteristics of a damped--clamped thin rotating cylindri- cal shell subjected to a harmonic point load and a constant one in the transverse direction, and the results are discussed.考虑由转动引起的科氏力、离心惯性力及环向初应力影响，利用Hamilton原理，建立了基于Sanders壳体理论的转动薄壁圆柱壳振动微分方程。选取满足相应边界条件的轴向梁函数近似地表达各类边界条件下圆柱壳的轴向振型分布。在此基础上，提出了一种适用于求解各种边界约束的转动薄壁圆柱壳行波振动响应的方法。基于此方法，分别针对静坐标系下横向简谐力和恒力作用下的两端固支转动薄壁圆柱壳的行波振动响应进行了求解，并对结果进行了相应分析。