Free Vibration of Axially Moving Equilateral Regular Triangle Mindlin Plate
Based on Mindlin plate theory and finite element method,the free vibration of axially moving equilateral triangle plates is studied.The principle of virtual work is used to derive the finite element equation of transverse free vibration of an equilateral triangle plate moving axially and study the free vibration characteristics of the system under the condition of three-sided simply-supported boundary.In the calculation part,aiming at two common layout forms,the first four order natural frequencies of the non-axial velocity of the plate are solved,and the results are compared with the calculation results of ANSYS software to verify the accuracy of the proposed method.Then the effects of velocity and layout forms on the real and imaginary parts of the first four natural frequencies are discussed.The results show that the velocity is closely related to the centrifugal force and Coriolis force on the plate.Under the combined action of these two forces,the higher the velocity,the lower the natural frequency.The second order vibration corresponds to different modes,with the same frequency at low speed and divergent frequency at high speed.The layout form has certain influence on vibration.
Axially MovingRegular Triangular PlateMindlin Plate TheoryFree VibrationFinite Element Method
万方数据
维普
