School of Civil Engineering;
Guangzhou University;
Guangzhou 510006;
China;
Mechanical Rotating Equipment Department;
Niroo Research Institute(NRI);
Tehran 14665-517;
Iran;
Department of Mechanical Engineering;
Eastern Mediterranean University;
Famagusta 99628;
North Cyprus via Mersin 10;
Turkey;
truncated conical shell; size dependency; functionally graded composite; nonlinear resonance; piezo-magnetic material;