Surashov Nurgali Tolymbekovich, Academician of NANS of Republic Kazakhstan, Doctor of technical sciences, Professor;

Ahmetova Sholpan Dauletovna, Candidate of technical sciences, Associate Professor

Kazakh National Technical University after K.I.Satpaev (KazNTU)

Republic Kazakhstan

 

Determination of optimal parameters formulated by dump of bulldozer taking into account the prism of drawing

          Special place at improvement of technology and mechanization of construction production is occupied earthmoving machines for interlaminar development of soil. In spite of the fast growth of new methods of development of soil, a mechanical way of digging and moving by working body (WB) of landslip type remains the most effective method of carrying out of earthwork in the near future.

          The branch of digging equipment in the countries of CIS is developed in Russia and Ukraine, and Kazakhstan is the consumer of these cars. There are Kentau Excavator plant, Pavlodarsky Tractor plant, Kalkamansky plant of working organs and some other repair plants in the Republic of Kazakhstan which produce repair equipment for building and road cars.

          That is why at the initial phase  of innovational and industrial politics of the country should be directed to produce the whole army of working multipurpose equipment which you can buy at leading firms because at present there is no any opportunity to produce them in Kazakhstan. Existing repair plants of the former «Sredmash» can produce repair equipment cars.

           One of the important site of earthmoving machines  are working bodies which have great technical opportunities,   which gives you to use energetic, labor and  material recourses.

          The general requirement to dumps of earthmoving machines is providing the set productivity at physical and mechanical properties of moved soil from which depend the form and dump parameters.

The main parameters (picture 1) are: B and Í – respectively are width and height of a dump, m;  Hk  – height of a peak, m; R – radius of curvature of a dump, m; l – length of an arch of a dump, m; φ – the central corner of a dump’s curvature, grade, â'   distance from the dump bottom p to a contact point on height with soil, m; P – perimeter of  interaction contour of  moved soil with a dump, m; C  height of a prism part of the drawing, towering over a peak, m; a'   width of the side roller ,m.

 

 

Picture 1 – The scheme of dump interaction with soil at the maximum prism of drawing

a - the scheme of front surface interaction of a dump with a drawing prism;

á- longitudinal section of a dump and a drawing prism

        The main operational parameters are: V gr – speed of moving with soil of  bulldozer’s dump, km/h; p – a corner of an internal friction of soil in rest, grade;  ε angle of the dump’s blade, grade; P – operational performance of the bulldozer, m3/h.

        To increase the efficiency of bulldozer dumps use and also its  technical and operational productivity, reduction of metal consumption and bulldozer’s power consumption at the beginning it is necessary to review various constructive forms accounting of a drawing prism set  and then to determine their optimum design data on the basis of a dump’s rational form.

         It is known that the bulldozers dumps which are now in exploitation in its constructive form don't answer to modern requirements from the point of view of efficiency of their use on the interaction area with moved soil that, in turn, conducts to a metal consumption increase and of course bulldozers power consumption.

          The analysis of interaction process of the bulldozer working body with various category of soil allowed to develop essentially new designs of dumps with top side bevel and knifes expanders that, caused preservation of the maximum prism of drawing at its transportation (picture 2).

 

Picture 2 –- Rational form of bulldozers dumps

 

           Constructive key parameters of new designs of dumps should be determine with account of a corner of a natural slope p and perimeter P on which moved soil concerns with a dump.

The area of transverse section of soil cooperating with a dump (see ðicture 1) determined from the sum

                                      (1)

 

where  – the area of a rectangle of abcd;  – the trapeze area (àâæå);  – the trapeze area (àáæñ);  – the segment area (êëì);  – the area of triangles (side rollers): (adí) and (âñç).

It is possible to determine the area of a rectangle abcd by the following formula

                                                              (2)

It is necessary to determine the trapeze area (àâæå) by the following expression

                         (3)

 

The area of a trapeze it is defined from the following expression

 

                (4)

 

The segment area (êëì) is equal

 

                                                                                                 (5)

The area of triangles (àdí) and (âñç) is possible to determine by the following dependence

                                                   ()

                                                     (6)

 

         Summarizing all areas, formulas (2)... (6), we will define the area of frontal section of moved soil cooperating with a dump.

                                                                    (7)

         This expression represents function of the area of frontal section of the moved soil cooperating with a surface of a dump, depending on design data of a bulldozer’s dump (B,H, Hê, â', a').

          Consider in each case constant height of a dump and a corner of a natural slope, we will find optimum values of constructive parameters: distances from the ground dump to a contact point on height with soil, â'.

          For this purpose we’ll differentiate the right part of expression (7) on â'

                                         (8)

 

           Equating a derivative to zero and having made the appropriate conversion, we will receive the following equation

                                                      (9)

which expresses optimum values â'  for concrete values  B,H and Hk and  solving it relatively  â'   we will receive

                                 (10)

       Constructive optimal parameters of new constructive dumps determined by research of the areas of transverse section of the soil interacting with working bodies  it is possible to present as follows:

1.                 Height of a dump, H

                                                                     (11)

2.                 Height of a peak, Hk

 

                                                                (12)

3.                 Width of a dump, B

                                     (13)

4.                 Distance from the dump basis to a contact point on height with soil, â'

                                                        (14)

5.                 Width of a peak of a dump, Bk

                                                  (15)

6.                 Perimeter of a dump, Ð

 

                                                                                                           (16)

 7.       Additional width of a knife expander, a

                                             (17)

 

where  a' = â' · tgp –  width of the side  roller of soil, m; káâ – ratio of width of a knife expander; we accept structurally: káâ = 0,4 – for cohesive soils; káâ = 0,6 – for disconnected soil.

         Then the height of an additional knife expander is equal:

                                                                             (18)

where   ratio of height of a knife expander (we accept structurally);

= 1,2 – for cohesive soil;  = 1,3 –  for disconnected soil.