Abstract
This paper focuses on the dynamic stiffness and overall equivalent damping of an air spring connected to an orifice and an auxiliary reservoir, with respect to the displacement excitation frequency, orifice area, and auxiliary reservoir volume. A theoretical model of this air spring with its auxiliary reservoir is derived by utilizing the energy conservation equation, gas state equation, and orifice flow rate equation. Simulation results from the presented model reveal that, when the air spring is subject to harmonic displacement excitation, its dynamic stiffness increases with an increase in excitation frequency and decrease in orifice area. Smaller orifice areas and lower excitation frequencies result in higher overall equivalent damping. A validation experiment is also implemented. When compared with experimental results, simulations show consistent varying trends of the dynamic stiffness and overall equivalent damping. The model developed here can correctly describe the behavior of the air spring with auxiliary reservoir, indicating that it is reasonable and feasible.
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Abbreviations
- A :
-
orifice area
- A e :
-
air spring effective area
- c e :
-
overall equivalent viscous damping
- c r :
-
rubber damping coefficient
- C p :
-
specific heat at constant pressure
- C v :
-
specific heat at constant volume
- C V :
-
discharge coefficient
- E :
-
air overall energy
- f :
-
frequency
- F :
-
air spring output force
- F pp :
-
force peak-peak value
- h in :
-
enthalpy flowing into
- h out :
-
enthalpy flowing out
- J pp :
-
force difference at 0 displacement
- k dyn :
-
air spring dynamic stiffness
- m :
-
air flow mass
- M :
-
air mass
- P :
-
absolute pressure
- P a :
-
atmospheric pressure
- q m :
-
air mass flow rate
- Q :
-
heat exchanged
- R :
-
gas constant
- T :
-
air temperature
- U :
-
air internal energy
- V :
-
air volume
- W :
-
work done by the outside
- W d :
-
energy loss
- x :
-
displacement
- X 0 :
-
displacement amplitude
- ω :
-
frequency
- κ :
-
specific heat ratio
- 1:
-
air spring
- 2:
-
auxiliary reservoir
- 0:
-
initial value
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Liu, H., Lee, J.C. Model development and experimental research on an air spring with auxiliary reservoir. Int.J Automot. Technol. 12, 839–847 (2011). https://doi.org/10.1007/s12239-011-0096-7
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DOI: https://doi.org/10.1007/s12239-011-0096-7