Anisotropic materials find widespread applications across various engineering domains.The investigation on vibrational properties of anisotropic materials holds significance for structural vibration mitigation and safety design.This paper introduces a novel approach,the peridynamic operator method(PDOM),to construct a non-local anisotropic model and applies it to the analysis of free vibrations in ani-sotropic plates.The model incorporates the unique feature of PDOM,which transforms local differentials and their products into non-local integrals,thereby reformulating the strain energy density from its local form to a non-local form within classical anisotropic theory.Additionally,the paper employs a variational principle and introduces the free vibration equation to develop a PDOM solution for anisotropic free vibra-tion problems.Three numerical examples are provided,including the free vibrations of a thin anisotropic rectangular plate,an anisotropic rectangular plate with cracks,and an anisotropic rectangular plate with holes.The results are compared with finite element results,showcasing the model's convergence,stabili-ty,and high computational accuracy in dealing with free vibrations of anisotropic plates with defects and discontinuities.
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