Vibration analysis of piezoelectric Kirchhoff–Love shells based on Catmull–Clark subdivision surfaces

An isogeometric Galerkin approach for analysing the free vibrations of piezoelectric shells is presented. The shell kinematics specialized to infinitesimal deformations and follow Kirchhoff–Love hypothesis. Both geometry physical fields are discretized using Catmull–Clark subdivision bases. This provides required C 1 $$ {C}^1 -continuous discretization theory. crystalline structure materials described an anisotropic constitutive relation. Hamilton's variational principle applied dynamic analysis derive weak form governing equations. coupled eigenvalue problem formulated by considering harmonic vibration in absence external load. formulation purely elastic case verified a spherical thin benchmark. Thereafter, one dimensional beam. effect modes transverse isotropic curved plate analyzed evaluated Scordelis–Lo roof problem. Finally, CAD model speaker showcases ability proposed method handle complex geometries.