Mathematical modeling and numerical seismic study of smart concrete beams

Abstract

The seismic response of the smart layer is studied in this article based on mathematical modeling and numerical solution. The structure is modeled by sinusoidal shear deformation (SSDT) and the motion equations are derived by energy method and virtual work. The concrete beam is covered by a piezoelectric layer for smart control of the structure. The differential quadrature (DQ) and Newark methods are applied for numerical solution and dynamic response of the smart concrete beam under the earthquake load. The influences of boundary conditions; external voltage, and geometrical parameters of the beam are studied on the seismic response of the smart concrete beam. The results indicate that by applying an external negative voltage, the dynamic deflection of the smart concrete beam is reduced, which is important for smart control of the system while this phenomenon is converse for positive external voltage.

Keywords

• mathematical modelling
• numerical solution
• seismic response
• smart concrete beam
• dq-newmark methods
• external voltage
• sinusoidal theory