This paper intends to promote the application of modern analytical approaches to the
governing equation of transversely vibrating quintic nonlinear beams. Four new studied …

This article intends to achieve a new formulation of beam vibration with quintic nonlinearity,
including exact expressions for the beam curvature. To attain a proper design of the beam …

The nonlinear dynamic response of cantilever beams under transverse harmonic excitation
is investigated experimentally and numerically. The experimental set up, finite element …

Beam elements have played a very important role in modeling mechanical engineering
structures. Curved beams are known to be more efficient in transfer of loads than straight …

A theory for incompressible rubber-like straight rods undergoing finite strains and finite
rotations is presented. Strains are expanded asymptotically for transverse coordinate of …

Numerical solutions for the response of a geometrically nonlinear beam are investigated
within the context of a new data-driven reduced order modeling (ROM) framework called …

The control of nonlinear dynamical systems, which can exhibit periodic, aperiodic and even
chaotic oscillations, represents a great research challenge due to the theoretical …