Free Vibration on Regular Hexagonal Thin Plates in Axial Motion
The transverse free vibration of a regular hexagonal thin plate under axial motion excitation was studied.In or-der to account for the effect of transverse shear deformation,Reddy's third-order shear deformation plate theory was ap-plied,and 6-node triangular elements were used to discretize the domain.The dynamic finite element equation of the sys-tem was established by virtual work principle.In the numerical example,two typical layout forms were selected,and two boundary conditions of fixed support and simple support were considered.The first four order natural frequencies were ob-tained by solving the system equation numerically.The accuracy of the proposed method was verified by comparing with ANSYS results.It was found that the velocity affects the natural vibration of the system through centrifugal force and Corio-lis force,and the velocity is inversely correlated with each order frequency.In addition,it was found that the second and third order frequencies of the regular hexagonal plate have two modes respectively.When the speed is zero,the natural fre-quencies are the same,but with the increase of the speed,the corresponding frequencies of the two modes gradually sepa-rate.Some dynamic phenomena revealed can provide reference for the design and optimization of axially moving regular hexagonal thin plates.
axial motionregular hexagonal thin plateReddy plate theoryfree vibrationfinite element method
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