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Table 1 Parameters of a vehicle

From: Study of the Judder Characteristics of Friction Material for an Automobile Clutch and Test Verification

Variable

Implication

Value

\({J}_{1}(\mathrm{kg}\cdot {\mathrm{m}}^{2})\)

Equivalent moment of inertia of the crank connecting rod group of the first cylinder of the engine

0.0182

\({J}_{2}(\mathrm{kg}\cdot {\mathrm{m}}^{2})\)

Equivalent moment of inertia of the crank connecting rod group of the second cylinder of the engine

0.0182

\({J}_{3}(\mathrm{kg}\cdot {\mathrm{m}}^{2})\)

Equivalent moment of inertia of the crank connecting rod group of the third cylinder of the engine

0.0182

\({J}_{4}(\mathrm{kg}\cdot {\mathrm{m}}^{2})\)

Equivalent moment of inertia of the crank connecting rod group of the fourth cylinder of the engine

0.0182

\({J}_{5}(\mathrm{kg}\cdot {\mathrm{m}}^{2})\)

Inertia of flywheel and driving part of clutch

0.5

\({J}_{6}(\mathrm{kg}\cdot {\mathrm{m}}^{2})\)

Equivalent moment of inertia of friction lining and wave plate

0.015

\({J}_{7}(\mathrm{kg}\cdot {\mathrm{m}}^{2})\)

Equivalent rotational inertia of clutch driven disc hub

0.04

\({J}_{8}(\mathrm{kg}\cdot {\mathrm{m}}^{2})\)

Equivalent rotational inertia of transmission

0.02

\({J}_{9}(\mathrm{kg}\cdot {\mathrm{m}}^{2})\)

Equivalent moment of inertia of body and other driveline components

4

\({c}_{1}(\mathrm{Nms}\cdot {\mathrm{rad}}^{-1})\)

The damping of the crank journal of the first cylinder of the engine

0

\({c}_{2}(\mathrm{Nms}\cdot {\mathrm{rad}}^{-1})\)

The damping of the crank journal of the second cylinder of the engine

0

\({c}_{3}(\mathrm{Nms}\cdot {\mathrm{rad}}^{-1})\)

The damping of the crank journal of the third cylinder of the engine

0

\({c}_{4}(\mathrm{Nms}\cdot {\mathrm{rad}}^{-1})\)

The damping of the crank journal of the fourth cylinder of the engine

0

\({c}_{5}(\mathrm{Nms}\cdot {\mathrm{rad}}^{-1})\)

Equivalent damping of flywheel and clutch driving part

0

\({c}_{6}(\mathrm{Nms}\cdot {\mathrm{rad}}^{-1})\)

Friction lining damping

0

\({c}_{7}(\mathrm{Nms}\cdot {\mathrm{rad}}^{-1})\)

Torsional damper damping

0

\({c}_{8}(\mathrm{Nms}\cdot {\mathrm{rad}}^{-1})\)

Transmission equivalent damping

0

\({c}_{9}(\mathrm{Nms}\cdot {\mathrm{rad}}^{-1})\)

Equivalent damping of body and other driveline components

0

\({k}_{1}(\mathrm{Nm}\cdot {\mathrm{rad}}^{-1})\)

Equivalent torsional stiffness of the crank journal of the first cylinder of the engine

20000

\({k}_{2}(\mathrm{Nm}\cdot {\mathrm{rad}}^{-1})\)

Equivalent torsional stiffness of the crank journal of the second cylinder of the engine

20000

\({k}_{3}(\mathrm{Nm}\cdot {\mathrm{rad}}^{-1})\)

Equivalent torsional stiffness of the crank journal of the third cylinder of the engine

20000

\({k}_{4}(\mathrm{Nm}\cdot {\mathrm{rad}}^{-1})\)

Equivalent torsional stiffness of the crank journal of the fourth cylinder of the engine

20000

\({k}_{5}(\mathrm{Nm}\cdot {\mathrm{rad}}^{-1})\)

Spring equivalent stiffness of torsional damper

2000

\({k}_{6}(\mathrm{Nm}\cdot {\mathrm{rad}}^{-1})\)

Equivalent torsional stiffness of transmission input shaft

4000

\({k}_{7}(\mathrm{Nm}\cdot {\mathrm{rad}}^{-1})\)

Equivalent torsional stiffness of transmission output shaft

6000

\({T}_{1}(\mathrm{N}\cdot \mathrm{m})\)

Engine excitation torque

300

\({T}_{0}(\mathrm{N}\cdot \mathrm{m})\)

Road resistance torque

100

\(F(\mathrm{N})\)

Clutch pressure

4000

\({R}_{0}(\mathrm{m})\)

Outer radius of friction lining

0.2

\({R}_{i}(\mathrm{m})\)

Inner radius of friction lining

0.134

\({\mu }_{0}\)

Static friction coefficient

0.3