On the dynamics of nano-frames

Size-dependent dynamic responses of small-size frames are modelled by stress-driven nonlocal elasticity and assessed a consistent finite-element methodology. Starting from uncoupled axial bending differential equations, the exact stiffness matrix two-node beam element is evaluated in closed form. The relevant global an arbitrarily-shaped frame, where every member made single element, built standard assembly procedure. Wittrick–Williams algorithm applied to calculate natural frequencies modes. developed methodology, exploiting one conceived for straight beams [International Journal Engineering Science 115, 14–27 (2017)], suitable investigating free vibrations systems current applicative interest Nano-Engineering, such as carbon nanotube networks polymer-metal micro-trusses.