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Finite element modelling and static shape control of a functionally graded piezoelectric beam

100%

Eshraghi I.

2023

tom Vol. 75, nr 4

469--492

A finite element model is developed for discretization and analysis of the functionally graded piezoelectric material (FGPM) beam based on the Timoshenko beam theory and assuming linear constitutive relation for the corresponding piezoelectric material behavior. Results obtained using the developed finite element code are compared with the available experimental and numerical results for smart structures with and without graded properties. Static shape control of the beam is conducted using the Buildup Voltage Distribution (BVD) algorithm by implementing this method in the finite element routine. Numerical simulations have been performed to study the performance of the shape control algorithm by optimizing the distribution of the applied voltages. Furthermore, the effect of the number of iterations on the result accuracy as well as the variation of the control voltage distribution with the number of discretized regions and the volume fractions of the constituent material is studied. A fast numerical convergence with good accuracy is observed for the shape control of FGPM beams using the developed method. The proposed technique is a good candidate for the modeling, analysis, and control of smart structures with graded properties.

Shape control of the column with imperfections of loading heads by means of the stiffening rod

75%

Sokół K.

tom Vol. 9, nr 1

195-202

This paper concerns an influence of the imprecise manufacturing or improper assembling processes of supporting and loading heads on transversal displacements, bending moments and axial force distribution of a column consisted of two rods, where one of rods is a stiffening element. The problem has been formulated by means of the principle of stationary total potential energy, the von Karman theory and linear constitutive equations for column material. The results of numerical calculation have shown how important it is to provide the axial load of the beams and columns.