Vibration Analysis of Piezoelectric Cantilever Beams with Bimodular Functionally-Graded Properties

Nonlinear Vibration Analysis of Piezoelectric Functionally Graded Porous Timoshenko Beams

In this paper, nonlinear vibration analysis of functionally graded piezoelectric (FGP) beam with porosities material is investigated based on the Timoshenko beam theory. Material properties of FG porous beam are described according to the rule of mixture which modified to approximate material properties with porosity phases. The Ritz method is used to obtain the governing equation which is then...

Free Vibration Analysis of Functionally Graded Beams with Cracks

This study introduces the free vibration analysis of multilayered symmetric sandwich Timoshenko beams, made of functionally graded materials with two edge cracked, using the finite element method and linear elastic fracture mechanic theory. The FG beam consists of 50 layers, located symmetrically to the neutral plane, whose material properties distribution change along the beam thickness, accor...

Free Vibration of Functionally Graded Beams with Piezoelectric Layers Subjected to Axial Load

This paper studies free vibration of simply supported functionally graded beams with piezoelectric layers subjected to axial compressive loads. The Young's modulus of beam is assumed to be graded continuously across the beam thickness. Applying the Hamilton’s principle, the governing equation is established. Resulting equation is solved using the Euler’s Equation. The effects of the constituent...

Free Vibration Analysis of Functionally Graded Materials Non-uniform Beams

In this article, nonuniformity effects on free vibration analysis of functionally graded beams is discussed. variation in material properties is modeled after Powerlaw and exponential models and the non-uniformity is assumed to be exponentially varying in the width along the beams with constant thickness. Analytical solution is achieved for free vibration with simply supported conditions. It is...

Piezoelectric Actuators for Functionally Graded Plates- Nonlinear Vibration Analysis