Transient Response of Functionally Graded Beams Under Arbitrary Dynamic Loading

Abstract eng:
In this contribution, functionally graded beams (FGBs) with an arbitrary gradation of the material properties along the beam thickness are considered. Such FGBs are of special interest in civil and mechanical engineering to improve both the thermal and the mechanical behaviours of the beams. In order to simplify the coupled governing differential equations for the longitudinal and transversal vibration of FGBs based on the Euler-Bernoulli beam theory, the gradation of the material properties is described by means of simple functions. The free vibration solution (mode shapes and eigenfrequencies) has been derived analytically and can be applied to all boundary conditions of beams. In this study, vibrations of FGBs due to periodic and non-periodic dynamic loadings are investigated. The dynamic response solution of the beams is derived analytically or numerically by means of the modal analysis with the eigenfrequencies from the free vibration analysis. Comparison is also made with the numerical results obtained by the Finite Element Method. The obtained solutions and their applications will be also discussed.

• Export as: BibTeX | MARC | MARCXML | DC | EndNote | NLM | RefWorks
• Add to your basket