Based on vibration theory, a new solution method for natural frequency of free vibration of Levy-plate with uni-directionally varying thickness was established by substituting an unknown function into the four-order partial differential equation of vibration with variable coefficients, and then the second Volterra integral equation was solved with quadratic spline function. The results show that the new method has the lowest natural frequency of three Levy-plates with different boundary conditions, verifying that this new solution method is reliable and simple with sufficient accuracy and can ...
