Mathematical model of oscillation of a workplace of a vehicle operator

Abstract

When operating most vehicles and energy vehicles, there is a risk of harmful effects of vibrational vibrations on the operator of the vehicle. Suspension and other elastic elements such as springs, various dampers, etc. are intended to reduce this harmful effect. One way to reduce the adverse effects of oscillations is to ensure their acceptable parameters by selecting elastically-bonded bonds between the oscillating masses depending on the surface and propulsion parameters, the speed of motion, the oscillating masses and the bonding parameters between them.

In the study of the amplitude-frequency characteristics of the oscillations of the workplace of the operator, some assumptions and simplifications were introduced, such as that the disturbing action from the support surface is harmonious in nature; the mechanical parameters of the propulsion can be represented as a completely rigid body or a deformed body with available elastic-binding properties; the amplitude-frequency perturbations from the propulsion can be transmitted up to the working month through elastic-couplings, characterized by a linear coupling of the elastic forces with displacements and a linear coupling of the viscous forces with the speeds of displacement; all fluctuations are considered as one-dimensional displacements.

To compile the equation of motion of the elements of the system, a classical approach was used using the second-order Lagrange equation. A system of equations was obtained which relates the parameters of the system "support surface - elastic elements - workplace". It is not possible to obtain an analytical solution of an equation system, so it can only be solved numerically.

Numerical solution of the obtained equation at different geometrical parameters of the support surface and wheel, and at different values of the mechanical properties of the support surface, the modulus of elasticity and viscosity, as well as the known values of the reduced and determined connected masses, allows to determine the rational values of the elastic and viscous elements that will provide acceptable amplitude-frequency characteristics of oscillations of the workplace of the operator.