# Modelling of the Inertial Torque Transformer With Methods of Interval Analysis

Modern technical devices used in the production of vehicles have a complex structure, which creates difficulties for their mathematical modeling. The main problem is the fact that approximate methods of such calculating contain a computational error. In designing such devices the value of computational error modeling can greatly influence the determination of their parameters. It may lead to the deterioration of reliability and durability of these devices. The inertial torque transformer (ITT) can be taken as an example of such a device. ITT is an infinitely variable mechanical transmission which has the ability of automatically changing the gear ratio, depending on the angular velocity of the output shaft and the magnitude of the external load resistance. The advantages of this device are high coefficient of efficiency, compact construction, and opportunity to work on the mode of direct transmission. The disadvantage is the fragility of the ITT free-wheel mechanism due to its constant work with high frequency and load. Certain methods for selecting optimal parameters of the device should be developed in order to improve the durability of the ITT. The mathematical model of the ITT is a set of composite systems of nonlinear differential equations. The exact analytical solution of these systems cannot be obtained. But usually Runge Kutta methods are used in order to solve these equations. These methods are approximate. The improvement of the accuracy of these methods is achieved by reducing the step. It may lead to an increase in the computational error. As a result, the solution is not accurate. But it also possible to estimate the exact solution, indicating the lower and the upper limit values which guarantee the assessment solution. The paper contains an interval problem of modeling the workflow of the ITT, the modification of interval Runge Kutta method and the interpretation of the obtained solution.

• English

## Media Info

• Media Type: Digital/other
• Features: Figures; References; Tables;
• Pagination: pp 150-156
• Monograph Title: Proceedings of Second International Conference on Traffic and Transport Engineering (ICTTE)

## Filing Info

• Accession Number: 01600708
• Record Type: Publication
• ISBN: 9788691615321
• Files: TRIS
• Created Date: May 21 2016 2:33AM