|
| Sym | Description | Sym | Description |
|
| Total stiffness of the pneumatic spring | | Vertical stress of the unit of part “2” |
| Vertical stiffness of the air | | Vertical stress of the unit of part “4” |
| Vertical stiffness of the elastomeric diaphragm | | Corresponding stretch ratio representing the corresponding principal stress surface |
| Radius of the piston | | Corresponding stress of the surface |
| Radius of the arc of the elastomeric diaphragm | | Corresponding principal stress surface (i = 1, 2, 3) |
| Height of the inner circle of the elastomeric diaphragm | | Corresponding part of the elastomeric diaphragm (j = 1, 2, 3, 4) |
| Height of the outer circle | | Sectional area of part “1” |
| Thickness of the elastomeric diaphragm | | Unknown pressure |
| “1” | Inner circle of the elastomeric diaphragm | | Force of piston acting on the unit of “1” |
| “2” | Inner arc of the elastomeric diaphragm | | Third principal stress surface of “1” subjected to the force of the gas chamber |
| “3” | Outer circle of the elastomeric diaphragm | | Second principal stress surface of “1” subjected to the force of the gas chamber |
| “4” | Outer arc of the elastomeric diaphragm | | Angle of the unit of “1” in the cross-section of the dual-chamber pneumatic spring |
| Pulling force of “2” acting on “1” | | Tension acting on part“2” |
| Pulling force of “4” acting on “3” | | Sectional area of the unit of “1” |
| Reaction forces of | | Length from the unit of “2” to the center axis |
| Reaction forces of | | Side length of the unit of “2” |
| Gravity of the load | | Angle |
| Atmospheric pressure | | Angle |
| Air pressure in the chamber | | Unknown pressure |
| Payload mass | | Sectional area of part “3” |
| Gravitational acceleration | | Force of piston acting on the unit of “3” |
| Force acting on the arc of the elastomeric diaphragm | | Third principal stress surface of “3” subjected to the force of the gas chamber |
| Projection area of the arc of the elastomeric diaphragm | | Second principal stress surface of “3” subjected to the force of the gas chamber |
| Rubber energy density function | | Angle of the unit of “1” in the cross-section of the dual-chamber pneumatic spring |
| First strain invariant | | Tension acting on part“4” |
| Second strain invariant | | Sectional area of the unit of “4” |
| Third strain invariant | | Length from the unit of “4” to the center axis |
| Stretch ratios in the X direction | | Side length of the unit of “4” |
| Stretch ratios in the Y direction | | Angle |
| Stretch ratios in the Z direction | | Unknown pressure |
| Material parameter | | Stiffness of part “1” |
| Material parameter | | Stiffness of part “2” |
| Length variable of part “1” | | Stiffness of part “3” |
| Length variable of part “2” | | Stiffness of part “4” |
| Length variable of part “3” | | Series stiffness of part “1” and “2” |
| Length variable of part “4” | | Series stiffness of part “3” and “4” |
|
