A complete investigation on the free vibration and stability analysis of beams made of functionally graded materials (FGMs) containing open edge cracks utilizing four beam theories, Euler-Bernoulli, Rayleigh, shear and Timoshenko, is performed in this research. It is assumed that the material properties vary along the beam thickness exponentially and the cracked beam is modeled as two segments ...

We study the implicit time discretization of Timoshenko prestressed beams. This model features two types of waves: flexural and shear waves, that propagate with very different velocities. We present a novel implicit time discretization adapted to the physical phenomena occuring at the continuous level. After analyzing the continuous system and the two branches of eigenfrequencies associated wit...

The paper considers verification of calculation split I-beams with two symmetry axes on the general Eulerian stability at transverse bending in plane maximum stiffness software package (PC) LIRA-SAD. Calculations for various loads are given. Numerical results PC LIRA-SAP compared by analytical formulas S.P. Timoshenko and V.Z. Vlasov. Conclusions about accuracy LIRA-SAD comparison analysis made.

Physics with neutrino beams has played a crucial role in establishing the standard model and its structure, specifically in leading to the discovery of weak neutral currents and of their properties. Currently, while the physics of neutrinos gives us the first evidence of physics beyond the standard model, the use of neutrinos as probes appears to be the only way of accessing subtle details of t...