The present study aims to provide some new information for the design of micro systems. It deals with free vibrations of Bernoulli–Euler micro beams with nonrigid supports. The study is based on the formulation of the modified couple stress theory. This theory is a nonclassical continuum theory that allows one to capture the small-scale size effects in the vibrational behavior of micro structures. More realistic boundary conditions are represented with elastic edge conditions. The effect of Poisson’s ratio on the micro beam characteristics is also analyzed. The present results revealed that the characterization of real boundary conditions is much more important for micro beams than for macro beams, and this is an assessment that cannot be ignored.

Improving efficiency and productivity of industrial manufacturing activities is crucial in today’s global economy and the advanced engineering methods they have proven to be an effective solution to better understand the operation of the processes. The technological problem in wiredrawing is conditioned by multiple factors such as drawing die geometry, tribological system, process speed and the state of the metal to be drawn, among others. A wire rod of CuZn37 alloy brass with Ø8 mm is obtained by continuous casting process from electrolytic materials. The structural state of the initial wire rod and the draft sequence conditions the deformations and residual stresses accumulated in its cross section, affecting the sequential process and final quality. The present work proposes a complete analytical-numerical study aided to the better understanding of the problem for the design of a process proposal for an adequate continuous wiredrawing sequence for the production of Ø2 mm brass wire. An industrial sequence without intermediate annealing was evaluated by the analytical-numerical procedure allowing to better understand the technological problems involved. This methodology has allowed to check that it is not possible to achieve such a high degree of reduction ratio above of r=0.70÷0.75, without applying intermediate annealing heat treatment.