Identification of partial differential equations in structural mechanics theory through k-space analysis and design

This paper presents a method to identify wave equations’ parameters using dispersion characteristics (k-space) on two-dimensional domains. The proposed approach uses the minimization of difference an analytic formulation relation wavenumbers calculated from solution fields. implementation partial differential equations (PDE) resolution finite element software is explained and tested with solutions in order generate test fields for identification process. coefficient generated by solver some 2nd- 4th-order equations. In particular cases are at different frequencies deflection isotropic orthotropic membrane, flexion plate original model equivalent bi-directional ribbed plate. limits spatial sampling rate domain size, process allows accurate retrieval equation parameters.