Elastic Damping Mechanism Optimization by Indefinite Lagrange Multipliers

Abstract

The current paper has presented the study on theoretical dependences of the optimization parameter (the degree of transmission transparency) on the design factors of elastic-damping mechanism (EDM) in the transmission for tractors of small traction class (14 kN). The purpose of the study was to obtain a unified functional relationship that integrates early study results. The determination of a unified function was based on reaching a compromise by the method of indefinite Lagrange multipliers. With the help of the function, there have been obtained the dependences of the effect of EDM design factors on transmission processes when performing the main agricultural operations. Using a method based on finding a compromise solution (method of indefinite Lagrange multipliers), there have been substantiated design parameters of the elastic-damping mechanism in the tractor transmission and there has been identified an optimization parameter of the Lagrange function. For a better understanding of the obtained dependence, there has been carried out a three-dimensional visual analysis. Each factor used in the Lagrange function was a physical parameter of an elastic-damping mechanism. The resulting equation has given an opportunity to control mechanism parameters in natural operating conditions. The obtained Lagrange value has demonstrated that the mechanism absorbs 32% of fluctuations in the external traction load of a tractor, when working with the main agricultural tools.

In the transmission of the 1.4 drawbar category mobile power vehicle on the performance indicators of machine and tractor units

“…2222440, 2299135, 2398147, 2739100, etc.). His operation is described in detail in the literature [2,3,9,10,11].…”

“…The data of the conducted operational tests, which were carried out on plowing, continuous cultivation and sowing, showed that the studied EDM with optimal parameters [9][10][11], located in the power transmission of the 1.4 drawbar category MPT at the sufficiently high level provides protection for all components links of the MTU from fluctuations of external and internal links, which has a positive effect on the dynamic processes that occur in all elements of the MTU [2-8]. So, for example, as a result of testing an plowing MTU in the field, it was found that the application of EDM into the power transmission of the 1.4 drawbar category mobile power tool helps to reduce the amplitude of the hook force fluctuations compared to the serial version to 15 ... 20%.…”

“…In the process of comparative tests, serial and experimental machine-tractor units were aggregated by the same MTZ-80 tractor, which has in its power transmission proposed elastic-damping mechanism with optimal parameters for each technological operation [9,10,11] (with tests of the serial version of the EDM was blocked).…”

Environmental Impact Assessment of Using Decision Making trial and Evaluation Laboratory (DEMATEL) Method

“…For this, the existing mechanisms need to be considered. Also, it need to be investigated whether subsystems aside from the ones in sensitivity index Consider what is included should take Next the dimensions, specificity and significance of the sub-ecosystems to Explore the marine environment want It is E. G. should be considered be given to Species richness and specialty are endangered Look after the creatures Overall, motivation-effect Relationships are absolutely subtle mission [11]. Environmental Impact Assessment in Colombia these are the guidelines earlier in the article, Columbia Importance of reading we discussed about hints when it comes to their cutting-edge boundaries for treating and handling uncertainty.…”

Determination of the significance of quality criteria and functional limitations affecting the effectiveness of robotization of mobile energy means in crop production

“…Often these quality criteria are contradictory. After all, the main problem in solving the multicriterial problem of evaluating the effectiveness of the RMES is that many quality criteria cannot be formalized, i.e., it is not always possible to establish the mathematical dependencies of these quality criteria on the varied parameters [8]. In this regard, it is proposed to solve this problem, including using the known expert methods of assessing the weight of each quality criterion and functional limitations [9].…”