Abstract:

Piezoelectric quasicrystals (PQCs), characterized by unique phonon-phason coupling and piezoelectric effects, exhibit significant potential for use in next-generation smart structural devices. However, their complex electrothermomechanical buckling behavior remains a challenging analytical problem. This paper presents a symplectic electrothermomechanical buckling model for two-dimensional (2D) decagonal PQC cylindrical shells. By using the symplectic mathematics and Donnell’s thin shell theory, the governing buckling equations for axially compressed PQC cylindrical shells are reformulated into a Hamiltonian system. Consequently, the original buckling problem is transformed into a symplectic eigenproblem that can be solved directly, obviating the necessity of trial functions. By use of the symplectic eigenfunction expansion, analytical symplectic buckling equations are obtained, allowing the critical buckling loads and buckling mode shapes to be solved simultaneously. The results indicate that, in addition to the geometry, voltage, and temperature, the phonon-phason-electric coupling inherent in PQC materials significantly influences the critical buckling loads. These analytical results provide a reliable reference for validating other computational approaches.

Key words: piezoelectric quasicrystal (PQC) cylindrical shell, buckling, symplectic method, analytical solution