Numerical simulation of elastoplastic contact of heavy-loaded spiroid gears

D. Karaivanov,Alexander Sannikov

doi:10.1051/matecconf/201928702005

Abstract

The paper presents the analysis of heavy-loaded low-speed multi-pair spiroid gears under the effect of elastic contact, bending and shearing, and elastoplastic contact interaction of spiroid gearwheel teeth and spiroid worm threads. The main stages of the developed algorithm for analysis of load distribution and plastic strain of flanks with account of elastic and elastoplastic contact conditions, multi-pair contact and macro-roughnesses on flanks are described in short. At elastoplastic contact the zones of plastic contact on flanks of spiroid gearwheel teeth are determined and the value of plastic strain is analyzed. The flanks of the spiroid gearwheel teeth and worm threads are represented in the algorithm as the set of segments (cells) with coordinates of centers determined with account of the analyzed factors that influence the load distribution in spiroid gearing. These factors are the errors of manufacturing and (or) assembly, micro-roughnesses, and deformations of spiroid gear supports. The paper gives the numerical results of research of the real spiroid gears of gearboxes for pipeline valves (PV) at elastic and elastoplastic contact represented as summary tables and diagrams of contact stress distribution along contact areas and of plastic strain, that show the workability of the algorithm. The presented numerical results of the algorithm functioning are well agreed with the experience of operation of spiroid gears and can be applied for analysis of load-carrying capacity of spiroid gears.

Highlights

IntroductionCells with the zero force are excluded from the contact area with the consequent correction of the forces remaining to provide the equilibrium condition (the last equation in the system (1)); 7) analysis (correction) of plastic strain wp in cells where the contact stress σH exceeded the allowable one [σH] [21], in this case, forces at these cells are corrected (decreased), that is, calculated according to [σH] and the area of the cell; 8) approximation of the final number of strain areas that appeared on tooth flanks; 9) checking the condition of finalizing the algorithm according to the chosen criterion of calculation accuracy and the completed task of stressstrain state (SSS) analysis
Spiroid gears are well-proven in heavy-loaded low-speed operation of pipeline valve drives under the action of short-term increased loads and practically instant peak overloads which has been multiply confirmed by research and operation experience of gearboxes designed at the scientific school headed by Prof
This paper considers the results of assessing the stressstrain state (SSS) of a number of real spiroid gears of pipeline valve gearboxes by means of this algorithm

Summary

Introduction

Cells with the zero force are excluded from the contact area with the consequent correction of the forces remaining to provide the equilibrium condition (the last equation in the system (1)); 7) analysis (correction) of plastic strain wp in cells where the contact stress σH exceeded the allowable one [σH] [21], in this case, forces at these cells are corrected (decreased), that is, calculated according to [σH] and the area of the cell; 8) approximation of the final number of strain areas that appeared on tooth flanks; 9) checking the condition of finalizing the algorithm according to the chosen criterion of calculation accuracy and the completed task of SSS analysis As it can be observed, during the algorithm running one can successively specify the components of displacement of cells under load – the elastic component (step 3) and the plastic one (step 7)

Results of numerical simulation

Analysis of results

Conclusion