General Technical Conditions Research Articles

Criterions for detecting the existence of the exponential dichotomies in the asymptotic behavior of the solutions of variational equations

We prove that the admissibility of any pair of vector-valued Schäffer function spaces (satisfying a very general technical condition) implies the existence of a “no past” exponential dichotomy for an exponentially bounded, strongly continuous cocycle (over a semiflow). Roughly speaking the class of Schäffer function spaces consists in all function spaces which are invariant under the right-shift and therefore our approach addresses most of the possible pairs of admissible spaces. Complete characterizations for the exponential dichotomy of cocycles are also obtained. Moreover, we involve a concept of a “no past” exponential dichotomy for cocycles weaker than the classical concept defined by Sacker and Sell (1994) in [23]. Our definition of exponential dichotomy follows partially the definition given by Chow and Leiva (1996) in [4] in the sense that we allow the unstable subspace to have infinite dimension. The main difference is that we do not assume a priori that the cocycle is invertible on the unstable space (actually we do not even assume that the unstable space is invariant under the cocycle). Thus we generalize some known results due to O. Perron (1930) [14], J. Daleckij and M. Krein (1974) [7], J.L. Massera and J.J. Schäffer (1966) [11], N. van Minh, F. Räbiger and R. Schnaubelt (1998) [26].

Condition monitoring of operational overhead line towers using strain gauges

Metallic structures of towers from overhead lines undergo static and dynamic mechanical stresses during operation. Knowing their real values using strain gauges helps condition monitoring of construction members in the power field that make the infrastructure of the electric network, enabling a fast intervention in case critical values are exceeded in order to maintain the operational safety of installations. The paper describes the general and specific technical conditions needed to determine the residual strains in metallic materials of a tower, a structure made of rolled steel items shaped as welded and mechanically joined profiles embedded at the base of the reinforced concrete foundation.

Automated determination of microbial peroxidase activity in fermentation samples using hydrogen peroxide as the substrate and 2,2'-azino-bis(3-ethylbenzothiazoline-6-sulfonate) as the electron donor in a flow injection system.

An automated flow injection method has been developed for the determination of microbial peroxidase activity. The substrate used was hydrogen peroxide and 2,2'-azino-bis(3-ethylbenzothiazoline-6-sulfonate (ABTS) was used as the electron donor. In the presence of hydrogen peroxide, peroxidase catalyses the dehydrogenation of ABTS, resulting in the formation of a resonance-stabilized radical cation of ABTS. The green-blue colour formed, recorded at 418 nm, is taken as a measure of the peroxidase activity. The general technical conditions and the general enzymic kinetics have been optimized. Conditions for activation and stabilization of the enzyme were found, e.g., ammonium sulfate acts as a peroxidase activator. The resulting method has a good precision, sensitivity and speed.