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.
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 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.
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
