In the past,the study of the dynamics of moving two-dimensional structures was limited to rectangular plates,and the motion effect was only concerned only on a single direction.In this paper,the motion effect of natural vibration of trapezoidal plate is studied,and the influence of velocity in two directions on natural vibration is investigated.Based on the theory of Minldin plate,the governing equation of bidirectional moving trapezoid plate is established by applying the principle of virtual work.The motion effect is Coriolis force term and centrifugal force term.In order to deal with the challenge of solving the governing equations with trapezoidal boundary,the 8-node isorametric coordinate transformation technology is used to transform the solution domain into a rectangle,and then the governing equations are discretized into algebraic equations by differential quadrature method.The numerical results are compared with the ANSNYS results to verify the accuracy of the proposed method in the boundary of four edges fixed.It is found that the motion effect weakens the vibration of trapezoidal plate,and it is closely related to the velocity direction.Pre-stress is positively correlated with vibration frequency and mode.
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