Аналітичне дослідження удосконаленої математичної моделі гідроприводів навісного підмітального обладнання сміттєвоза з урахуванням зносу циліндричної щітки

Abstract

As a result of the analysis of the performed numerical studies of the improved nonlinear mathematical model of a group hydraulic drive with a serial connection of hydraulic motors that drive the mounted sweeping equipment of a garbage truck, taking into account the wear of the cylindrical brush, a linearized version of this model was developed in the form of a system of ordinary linear differential equations of the fourth order. Comparison of the results obtained using the nonlinear and linearized improved mathematical model of a group hydraulic drive with a serial connection of hydraulic motors of the mounted sweeping equipment of a garbage truck, taking into account the wear of the cylindrical brush, showed a relative error within the limits of 5.4...10.9 %, which is acceptable for performing preliminary engineering calculations of the main parameters of hydraulic drives. During the analytical study of the linearized improved mathematical model of a group hydraulic drive with a serial connection of hydraulic motors of the mounted sweeping equipment of a garbage truck, taking into account the wear of the cylindrical brush, the following methods were applied: operator calculus using the Laplace transform to solve a system of ordinary linear differential equations, linearization of nonlinear dependencies, decomposition of complex expressions into simpler fractions, and also methods of computer modeling. The analytical study of the linearized improved mathematical model of a group hydraulic drive with a serial connection of hydraulic motors of the mounted sweeping equipment of a garbage truck, taking into account the wear of the cylindrical brush, made it possible to obtain analytical expressions for determining the main power and kinematic characteristics of hydraulic drives in steady-state operation mode. The obtained dependencies can be used when performing design calculations for new garbage truck designs with extended functionality and taking into account the impact of cylindrical brush wear.