Диференційні рівняння руху комбінованого МТА

Ярошенко, П. М.; Ярошенко, П. Н.; Yaroshenko, P.

Диференційні рівняння руху комбінованого МТА

Ярошенко, П. М.; Ярошенко, П. Н.; Yaroshenko, P.

URI: http://repo.sau.sumy.ua/handle/123456789/4385

Дата: 2015

Короткий опис(реферат):

У статті розглянуто питання математичного моделювання руху комбінованого машинно-тракторного агрегату (МТА) в результаті якого було отримано вісім диференційних рівнянь, що дадуть можливість оцінити параметри руху агрегату. В статье рассмотрен вопрос математического моделирования движения комбинированного машинно-тракторного агрегата (МТА) в результате которого было получено восемь дифференциальных уравнений, которые дадут возможность оценить параметры движения агрегата.

Суть розробки, основні результати:

The difficult mechanical systems to that belongs МТА are the resilient systems with the endless number of degrees of liberty. The study of motion of such resilient semilongwalls is related to large difficulties. Technical practice produced many different receptions constructions of the simplified charts, that is used for an analysis. One of such receptions, especially widely used in an engineer, replacement of the real difficult system the equivalent brought system over is with the eventual number of degrees of liberty. This reception it is expedient to use and in this case. Analysing the publications of the last years drawn conclusion that researchers for description of motion of difficult aggregates were use equalizations of Lagrange the second family. However researchers used the front hand up system of tractor in the aggregates. The aim of this article is a design of motion of the combined aggregate with the use of front hand up by means of the system of differential equalizations. In the complement of МТА enter the energysaturated tractor as KТP-121, front and back hanging agricultural machines. Will examine motion of МТА in two measuring, considering that vertical forces and moving do not render large influence on motion on the whole. Position of tractor is fully determined by the coordinates of centre-of-mass (in two measuring) and corner of turn of longitudinal axis of tractor in relation to the axis х. Except it, direction of motion determines the corner of turn of the guided wheels. For the design of sharp increase of casual resistances by the hanging machines of aggregate, it is necessary also to assume the angular and transversal moving of hanging machines. The longitudinal moving of hanging machines in relation to a tractor are considered very small. Chart of motion of МТА, at the account of the above enumerated factors, presented. Deformations of elements that bind a tractor to the hanging machines, for evidentness not indicated. The got system of differential equalizations is nonlinear, as all her equalizations are nonlinear after an exception three. To calculate the value of functions (dependences of the generalized coordinates on time), id est integrate the system of differential equalizations, analytically is not possible. Improbable will be and the use functions Ljapunоvа for the estimation of firmness motion not executing integration the system of differential equalizations of motion. Thus, the most corresponding approach in the decision of the put task will be the use numeral methods.

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