this paper presents a solution of non-linear viscoelastic bar systems transversal vibrations
problems in presence of biological factor. Governing differential equations were built, then
analytical expressions of the solution of this equations were found, which describe
transversal vibrations of a thin finite length bar
In this research, we reviewed how to get the relationship of the neutrino oscillation
probability in the two flavor approximation, and tested the theoretical model of the
oscillation solution. We show that the oscillation probability of neutrino re
lates with
neutrino energy, length of the baseline (the distance between the source and the detector),
mixing angle , and square mass difference
2
2
2
1
2
12 m m m . This research shows that in
order to occur the oscillation of neutrino, it must be at least one of the mass states different
of zero. This means that the relationship 0 2
12 m must be verify. In other words neutrino
must have non zero mass. This result holds a huge physical importance. The first regards
the Standard Model of elementary particles, which considered neutrino massless. The
second regards the OPERA experiment, where neutrino have non zero mass, and cannot
spreading fast equal to the speed of light and so this does not agree with the experience of
OPERA, which found that the neutrino spreading faster than the speed of light in a
vacuum.
The goal of the presented research in this paper is finding a unified way to solve cross vibration problems in nonlinear elastic fields with a biological factor. We obtained the equations of cross vibration for elastic systems by using known mathemat
ical models, and then we solved the nonlinear cross harmonic vibration problem for a finite length of effective bar.
The main goal of the presented research in this paper is to find a unified way to solve longitudinal vibration problems in nonlinear viscoelastic media with a biological factor and solve the problem in a bar of finite length.
The main goal of the presented research in this paper is to find a general way to solve longitudinal vibration problems. This way must solve these problems in nonlinear elastic bar systems with a biological factor.
We applied longitudinal vibration
equations in a nonlinear elastic bar with biological factor, the bar material was taken non-linear. and solve the problem in a bar of finite length.
