Nonlocal refined higher isogeometric analysis for vibration characteristics of porous metal foam magneto-electro-elastic curved nanobeam with elastic boundary conditions

Abstract

In this work, free vibration and transient response of porous metal foam magneto-electro-elastic (PMF-MEE) curved nanobeam with elastic boundary conditions (BCs) using an isogeometric analysis (IGA) based on nonlocal elastic and refined higher-order shear beam theories (HSDT) are investigated. The variation of electric and magnetic potentials through the thickness direction of the curved nanobeam is determined by the Maxwell equation and the magneto-electric boundary condition. The new point of this paper is that it does not use traditional boundary conditions, but instead, the first and last positions of the curved nanobeam are linked by an elastic system consisting of transrational springs and rotational springs with stiffness controlled to give arbitrary boundary conditions. Besides, the nonlocal coefficients vary with thickness like other material properties. Hamilton’s principle is applied to establish the governing equations of motion. The Newmark direct integration method is applied to derive the dynamic responses including deflection and phase trajectory. A comprehensive parametric study is carried out to evaluate the influence of input factors on the natural and forced oscillation capabilities of PMF-MEE curved nanobeams. The findings may benefit for the analysis and design of intelligent structures made of magneto-electro-elastic materials.

Keywords

• Porous metal foam
• Magneto-electro-elastic
• Elastic boundary condition
• Isogeometric analysis
• Nonlocal theory
• Curved nanobeam