Table 1 Dynamic model parameter table.

From: Analysis of drilling vibration characteristics of anchoring system in coal mine

Code

Name

Code

Name

m1

Support platform quality

m21~24

Quality of front and rear support columns

m3

Quality of top anchor beam

m4

Mass of anchor cable crossbeam

m5

Quality of top anchor drilling rig frame

m6

Quality of support plate for top anchor drilling rig

m7

Quality of power head of top anchor drilling rig

m8

Quality of top anchor drill pipe

m9

Quality of anchor cable drilling rig frame

m10

Quality of anchor cable support plate

m11

Quality of power head of anchor drilling rig

m12

Quality of anchor cable drilling rig drill pipe

k11~14 (c11~14)

Stiffness and damping between the front and rear support columns and the support platform

k21~24 (c21~24)

Stiffness and damping between front and rear support columns, top anchors, and anchor cable transverse beams

k3(c3)

Stiffness and damping between the top anchor crossbeam and the four top anchor frame

k4(c4)

Stiffness and damping between anchor cable crossbeam and anchor cable frame

k51(c51)

Stiffness and damping between the top anchor frame and the top anchor support plate

k52(c52)

Stiffness and damping between the top anchor frame and the top anchor power head

k6(c6)

Stiffness and damping between top anchor support plate and roadway roof

k7 (c7)

Stiffness and damping between the top anchor power head and the top anchor drill pipe

k8 (c8)

Stiffness and damping between top anchor drill pipe and roadway roof

k91 (c91)

Stiffness and damping between anchor cable frame and anchor cable support plate

k92 (c92)

Stiffness and damping between anchor cable frame and anchor cable power head

k10(c10)

Stiffness and damping between anchor cable support plate and roadway roof

k11(c11)

Stiffness and damping between anchor cable power head and anchor cable drill pipe

k12(c12)

Stiffness and damping between anchor rope drill pipe and tunnel roof

kt1~ t4 (ct1~ t4)

the equivalent stiffness and equivalent damping between legs 1–4 and the ground respectively

a

the distance between the center of gravity of the support platform and the leg

b

half the thickness of the support platform

d

half the width of the support platform

J1

the rotational inertia of the excavation direction of the support platform

\(\rho\)

the pitching vibration angle of the excavation direction of the support platform

J2

the rotational inertia of the horizontal direction of the support platform

\(\varpi\)

the left and right vibration angle of the horizontal direction of the support platform

Fdc1

the reaction force of the four anchor support plate

Fdz1

the reaction force of the four anchor drilling

Fsc1

the reaction force of the two anchor cable support plate

Fsz1

the drilling reaction force of the two anchor cables respectively

x1 ~ x12

the longitudinal x displacement of each mass block of the anchorage system in turn

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