Piezomagnetic-induced dynamic effects in functionally graded annular building plates for landscape structures

This study explores the effects of piezomagnetics on the dynamic behaviour and stability of functionally graded annular building plates for advanced civil and landscape engineering structures. This research is based on an eccentric rotating annular building plate that has a surface-bonded piezoelectric layer, which will provide more flexibility and control of vibrations and smart sensing capabilities in modern architectural and landscape uses. The annular building plate is also considered to be a functionally graded composite with continuous variation of material properties throughout the thickness of the plate, which enhances the distribution of stiffness, durability, and resistance to environmental loads that outdoor infrastructure systems encounter. Therefore, to accurately predict the results of the study, we will use a refined shear deformation theory (RSDT) as the basis for calculating transverse shear effects and do not need the need for a shear correction factor. The formulation of the nonlinear governing equations is obtained using the von Kármán strain-displacement relationship while including coupled magnetic/electric interactions, rotational inertia, and piezomagnetic effects in the equations. Hamilton's principle will be used to formulate a complete nonlinear dynamic formulation that incorporates both magnetic fields and electric fields. The equations resulting from this analysis have been solved via the transform differential quadrature method (TDQM), together with Newton's iterative scheme. Various parameter analyses indicate that material gradation and the influence of many nonlocal, strain-gradient, angular velocity, eccentricity, and multi-physics coupling parameters have a substantial impact on the dynamic stability behaviour of an annular building plate. The results obtained may also provide useful information in designing and optimizing a multitude of intelligent landscape structures, adaptive roof systems, and/or smart prefabricated construction components.