Abstract: Structural dynamic analysis is important for structural design.A simple and accurate method can ensure structural design to be accomplished efficiently.The convolution-type weighted residual method is a new method,which is applied to dynamic problems.In this paper Gurtin variational principles are derived by convolution-type WRM.And the convolution-type weighted residual method is applied to dynamic problems of thin plates with different boundary condition and load.Numerical examples show that convolution-type WRM is very simple,highly accurate and effective.