Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load

For the first time, structural dynamics and vibrational stability of a viscoelastic axially functionally graded (AFG) beam with both spinning axial motions subjected to an load are analyzed, aim enhance performance bi-gyroscopic systems. A detailed parametric study is also performed emphasize influence various key factors such as material distribution type, viscosity coefficient, coupled rotation translation on dynamical characteristics system. The properties system assumed vary linearly or exponentially in longitudinal direction effects. Adopting Laplace transform Galerkin discretization scheme, critical spin velocities obtained. An analytical approach applied identify instability thresholds. Stability maps examined, for time this paper, it demonstrated that evolution can be altered by fine-tuning grading material. variation density elastic modulus gradient parameters found have opposite effects divergence flutter boundaries Furthermore, results indicate destabilizing effect compressive significantly alleviated simultaneous determination gradation