Vibrations and energy distribution in inhomogeneous rods with elastic and viscous boundary conditions.

ABSTRACT: Functionally graded materials have broad engineering applications including mechanical engineering, electronics, chemistry, and biomedical engineering. One notable advantage of such materials is that their stiffness distribution can be optimized to avoid stress concentration. A novel approach for solving the equations describing the longitudinal vibration of functionally graded rods with viscous and elastic boundary conditions is proposed. The characteristic equation of the system is derived for the solution of the undamped case for the constant stiffness rod. Then, a homotopy method is applied to compute the eigenvalues and mode shapes of graded rods for viscoelastic boundary conditions. The changes of the eigenvalues and mode shapes as function of the damping parameters are investigated.

SUBMITTER: Lelkes J 

PROVIDER: S-EPMC10838305 | biostudies-literature | 2024 Feb

REPOSITORIES: biostudies-literature