Study on the Plowing Capacity of the 4 Wheel Tractor (III)

On the Running Distance by the Reversible Plow

Abstract

The utilization of the reversible plow will be increased in furture. The reversible plows can be divided into the following types.
1. Moldboard plow.
(1) Bilateral symmetry reversible type.
(2) Bilateral symmetry roll-over type.
(3) Up-down symmetry roll-over type.
(4) Up-down symmetry turn-over type.
(5) Front-rear symmetry reversible type.
2. Disk plow.
(6) Up-down symmetry roll-over type.
(7) Disk supporting axis roll-over type.
Using these plows, the types of turning and the distance of futile run are as follows.
(1) Octopus type ΣS_o″=(3-7/3)πrB/b
(2) Balloon type. ΣS_b″=(7/3-1)πrB/b
(3) Poppet type. ΣS_p″=(πr+2r+b)B/b
(4) Medusa type. ΣS_m″=(πr+2r-b)B/b
(5) Cycloid type. ΣS_c″={π(2r+b/2)+b}B/2b
B; the short side of field.
r; the minimum turning radius.
b; plowing width.
m; the number of dividing field (on short side)
Therefore, the distance of futile run is in the order as,
ΣS_c″<ΣS_m″<ΣS_p″<Σ<ΣS_b″<ΣS_o″
Next, the method and the distance that we treat the head-land are divided into two ways by the attachment which we use.
Using S-turn.
(1) Over-line turning method. ΣH_o″=ΣS″
(2) Additional plowing method. (A)
ΣH_a″=ΣS″+2l⋅B/b
(3) Additional plowing method. (B)
ΣH_b″=(S″+2l)⋅2l/b
(4) Combinative plowing method. ΣH_c″=B⋅2l/b
l; width of head-land.
L; length of tractor body.
Not using S-turn.
(1) Over-line turning method. ΣH_o″=L⋅B/b
(2) Additional plowing method. (A)ΣH_a″=2l⋅B/b
At last, on the case of using reversible plow, the all distance of futile run is shown into the following formulas by combining the aforesaid turning method with the distance of futile run between treating head-land.
Using S-turn.
(1) Utilization of over-line turning method.ΣS″
(2) Utilization of additional plowing method. (A)
ΣS″+2l⋅B/b
(3) Utilization of addtional plowing method. (B)
ΣS″+(S″+2l)⋅2l/b+A
(4) Utilization of combinative plowimg method.
ΣS″+B⋅2l/b+A
When S-turn is not used, the formulas are equal to the case of treating head-land. Therefore, when we use front-rear symmetry reversible type, the distance of futile run is minimum but we need the large field to use this type. Using the general S-turn, its order is as follows.
ΣH₀″<ΣH_a″<ΣS″+ΣH_c″<ΣS″+ΣH_b″