Table 3 Explanation of symbols in Fig. 2.

From: Dynamical Behavior of Coal Shearer Traction-swing Coupling under Corrected Loads

Symbol

Explanation

m1, m11

The masses of the front and rear drums

m2, m10

The masses of the front and rear ranging arms

m3, m7

The masses of the front and rear haulage unit

m4, m9

The masses of the front and rear walking units

m5, m8

The masses of the front and rear supporting units

m6

The mass of the shearer body

x3, x7

The vibration displacements of the front and rear haulage unit in the traction direction

x4, x9

The vibration displacements of the front and rear walking units in the traction direction

x5, x8

The vibration displacements of the front and rear supporting units in the traction direction

x6

The vibration displacement of the shearer body in the traction direction

λ

The pitch angle of the shearer

ηz3, ηz7

The vibration swings of the front and rear haulage unit in plane xoz

β1, β11

The vibration swings of the front and rear drums in plane xoy

γ2, γ10

The vibration swings of the front and rear ranging arms in plane xoy

α1, α11

the lift angles of the front and rear ranging arms for performing lifting operations

Rx1, Ry1, Rx11, Ry11

the cutting loads on the front and rear drums in the horizontal and vertical directions

kx2, kx10

the rigidities of the front and rear arms in plane xoy

kqtx, cqtx, khtx, chtx

the equivalent rigidities and dampers of the front and rear lift cylinders

kzx4, czx4, kzx9, czx9

the equivalent rigidities and resistances of the coupling between the front/rear walking unit and front/rear haulage unit in the traction direction

kqdx, cqdx, khdx, chdx

the rigidities and resistances of the contact between the front/rear driving wheel and front/rear pin rail in the traction direction

kzx5, czx5, kzx8, czx8

the equivalent rigidities and resistances of the coupling between the rear/front supporting unit and rear/front haulage unit in the traction direction

kqpx, cqpx, khpx, chpx

the rigidities and resistances of the contact between the front/rear sliding shoes and the middle trough in the traction direction

kcms, ccms, kcmx, ccmx

the equivalent rigidities and resistances of the upper and lower hydraulic rods on the coalface side

kcks, ccks, kckx, cckx

the equivalent rigidities and resistances of the upper and lower hydraulic rods on the goaf side

e

the radius of gyration of the gravity center of the ranging arm

p

the distance between the gravity centers of the drum and ranging arm

j

the width of the traction unit

b

the distance between the hinging point of the lift cylinder and ranging arm and the ranging arm rotary pin