Steady-State Nonlinear Forced Vibrational Response of Laminated Sectorial Plates

Annular sectorial plates are versatile mechanical parts that are employed in many different sectors, including aerospace, maritime, and biomedical. During operation, they are exposed to high-amplitude dynamic loads and vibrations. As a linear strain–displacement relation underestimates the vibrational response, accurate design must take geometric nonlinearity into consideration. The time-domain solution of the equations of motion is attained using the modified shooting method and the arc-length/pseudo-arc-length continuation approach in this study to investigate the steady-state nonlinear/linear forced vibrational characteristics of laminated sectorial plates. The nonlinear dynamic behavior of these plates is investigated using frequency response and cyclic stress curves and phase plane plots. Findings reveal that the peak amplitude in the nonlinear analysis is substantially less than in linear analysis, suggesting that the nonlinearity in the plates is becoming harder. The stable and unstable areas of the frequency response curve are also identified by the study.