Dynamic buckling of active sandwich panels

In this work, a laminated sandwich plate model with external piezoelectric layers is extended for buckling and dynamic stability analysis. In-plane harmonic uniformly distributed loads are considered in the dynamic stability problem, and the Mathieu-type equilibrium equations are solved using Bolotin's method to obtain the regions of dynamic instability. The model is validated to begin with, using available results in the literature for static and dynamic buckling of laminated soft core sandwich panels. Ultimately, the model is used to simulate the behaviour of laminated composite and sandwich plates with piezoelectric patches, controlled using a closed loop law with proportional and derivative gains, for buckling and dynamic stability analysis. This control system is used to postpone buckling, increase fundamental frequencies and reshape the regions of dynamic instability.

Automated summary

In this work, a laminated sandwich plate model with external piezoelectric layers is extended for buckling and dynamic stability analysis. The model considers in-plane harmonic uniformly distributed loads and solves the Mathieu-type equilibrium equations using Bolotin's method to obtain the regions of dynamic instability. The validated model is then used to simulate the behavior of laminated composite and sandwich plates with piezoelectric patches, controlled using a closed loop law with proportional and derivative gains, for buckling and dynamic stability analysis. This control system can postpone buckling, increase fundamental frequencies, and reshape the regions of dynamic instability.