Symbol

Description

Values

a

Height of the tree above the mast

1 m

k

Mast height

2.44 m

b

Horizontal distance between machine and tree

1.48 m

L

Distance from the welded bracket on boom segment 1 to the mast fulcrum

0.59 m

h

Distance from the welded bracket of the top mast to the mast fulcrum

0.315 m

W_B1

Weight of boom segment 1

24N

W_C1

Weight of hydraulic cylinder 1

42.94N

W_B2

Weight of boom segment 2

15.9N

W_B3

Weight of boom segment 3

76N

W_EM

Weight of electric motorised cutter

35.28N

W_CA

Weight of hydraulic cylinder 2 mount

17.48N

W_M1

Weight of top segment of the mast

37N

W_C2

Weight of hydraulic cylinder 2

29.82N

D_p

Diameter of piston

0.063 m

L_S1

Stroke length of hydraulic cylinder 1

0.62 m

L_S2

Stroke length of hydraulic cylinder 2

0.14 m

L_S3

Stroke length of hydraulic cylinder 3

0.75 m

L_T

Oil tank length

0.15 m

W_T

Oil tank width

0.10 m

W_P

Weight of hydraulic pump

24.1N

W_O

Weight of oil filled tank

60.86N

L_B

Length of the base

1.17 m

W_M2

Weigth of lower segment of the mast

53N

y

Distance between the wheel support 2(S2) to the

right side end of the base frame

0.03 m

X_a

Distance between the wheel support 1 (S2) to the

left side of th mast

0.325 m

K_a

Distance between the wheel support 1 (S2) to the

left end of the base frame.

0.08 m

L₁, L₃, L₄,

Incline lenghts of W_B1,W_C1,W_B2,W_B3,W_EM,W_CA,W_C2

0.44, 0.87, 1.04,1.46,

L₅, L₆, L₇, L₈

successively from the mast fulcrum

1.755, 0.17,0.50 m

W_C3

Weight of hydraulic cylinder 3

43.94N

M

Distance of W_RPO from the mast

0.02 m

W₁, W₂, W₃

External width of boom segment 1,2,3 successively

0.05, 0.04, 0.03 m

H₁, H₂, H₃

External height of boom segment 1,2,3 successively

0.05, 0.04, 0.03 m

w₁, w₂, w₃

Internal width of boom segment 1,2,3 successively

0.044, 0.034, 0.024 m

h₁, h₂, h₃

Internal height of boom segment 1,2,3 successively

0.044, 0.034, 0.024 m

L_B

Base frame length

1.17 m

E

Young modulus of the steel material

210 × 10⁹ N/m

M_a

Mass of cutting blade

0.496 kg

R

Radius of the cutting blade

0.09 m

N

Rotational speed

3000 rev/min.

n

Factor of safety

3

g

Acceleration due to gravity

9.81 m/s²