Mechanical Properties Analysis of Bilayer Euler-Bernoulli Beams Based on Elasticity Theory

Abstract

This paper analyzes the effects of structures and loads on the static bending and free vibration problems of bilayer beams. Based on static mechanical equilibrium and energy equilibrium, the static and dynamic governing equations of bilayer beam are established. It is found that the value of the thickness ratio has a significant effect on the static and dynamic responses of the beam, and the structure factors have their own critical value. When the value of the relative thickness is lower than its critical value or the length thickness ratio is greater than its critical value, the static and dynamic responses of the beam increase obviously. The results reveal that a critical value exists in bilayer beam, the value has noticeable influence on the mechanical properties of bilayer beams. Therefore, investigators should predict the critical structures accurately, when they design the bilayer beam.

Computational Study of Excitation Controlling Parameters Effect on Uniform Beam Deformation under Vibration

“…According to theoretical calculation, the natural frequency of the uniform beam with both ends fixed can be calculated via the following expression [25,28] 4. The validation was performed on the mode frequency of the longitudinal bending shape under the transverse vibration.…”

Non-linear forced vibration analysis of piezoelectric functionally graded beams in thermal environment.

“…This hypothesis is generally considered in the literature and mentioned in literature [27]. Therefore, the kinetic energy e T of the piezoelectric FGM beam is equal to [28]:…”