Study on Vibration Characteristics of Elliptical Cylindrical Shells with Large Ellipticity Based on Transfer Matrix Method
Based on the theory of Coriolis shell,the vibration equations of elliptic cylindrical shell in vacuum were established by using the transfer matrix method.The non-homogeneous partial differen-tial equations were transformed into homogeneous differential equations by volume expansion integral method to solve them.Compared with the simulation results,the accuracy of the method was veri-fied,and the effects of ellipticity,wall thickness and length on the vibration of elliptical cylindrical shells with large ellipticity were explored.The results show that for forced vibration,with the in-crease of ellipticity,the peak value of response moves to the low frequency and increases.If the ellip-ticity is too large,the local stiffness increases and the peak value decreases.With the increase of wall thickness,the response peak shifts to high frequency,and the peak value decreases obviously.With the increase of length,the response peak shifts to low frequency and the peak increases.
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