The invention provides a
frequency dispersion curve calculation method based on a decoupling type Legendre-Gauss-Labatto
spectral element method, and belongs to the technical field of discrete solution of
guided wave propagation in a thin plate, and the method comprises the following steps: S1, constructing a
wave equation which comprises a Cartesian space coordinate
system based on an orthotropic plate, and combining a
constitutive equation, a geometrical relationship under the coordinate
system and guided wave displacement to obtain a wave
dispersion curve; substituting into a
control equation when the volume force is zero to obtain an improved three-dimensional elastic
wave equation; s2, a differential matrix is constructed, wherein
discretization and decoupling are carried out on a
wave equation on the basis of a Lagrange interpolation
basis function of a Legendre-Gauss-Labatto node; s3, explicitly embedding the
stress free boundary condition into the solving process through matrix line transformation, and solving to obtain a
frequency dispersion curve, the derivation process is simplified, the boundary and the interior of the material are decoupled, and the physical significance is clearer. And meanwhile, the high-precision
advantage of the spectrum method is maintained, and the calculation rate is remarkably improved.