Analytical polynomial solutions for vibrating axially graded beams

作者:Elishakoff I*; Guede Z
来源:Mechanics of Advanced Materials and Structures, 2004, 11(6): 517-533.
DOI:10.1080/15376490490453669

摘要

Vibration and buckling of simply supported axially graded beams, that is, those with inertial coefficient and stiffness, which vary with axial position are discussed. New closed-form solutions are derived for the natural frequency of the beam. The semi-inverse problem of finding the distributions of the stiffness and the inertial term so that the preselected polynomial functions serve as an exact mode shape of the inhomogeneous beam is solved.

  • 出版日期2004-12