An Analytical Model for a Pneumatic Vibration Isolator with the Stiffness Effect of the Elastomeric Diaphragm

Table 2

Parameters of the dual-chamber pneumatic in the two experiments.

Symbol	Description	Value 1	Value 2	Unit
	and are the Mooney-Rivlin material parameters	0.82-1.20	0.82-1.20	MPa
	Part “1” vertical length	0.009	0.015	m
	Part “2” or “4” projection length	0.0034	0.0050	m
	Part “3” vertical length	0.014	0.020	m
	Diaphragm thickness	0.0006	0.002	m
	Atmospheric pressure	101325	101325	MPa
	Gravitational acceleration	9.81	9.81	m/s^2
	Payload mass	20	375	kg
	Polytropic exponent	1.4	1.4	-
	Flow restrictor length	4e-4	8e-3	m
	Flow restrictor diameter	1e-3	1e-3	m
	Effective piston area	0.0015	0.016	m^2
	Air viscosity	1.824e-5	1.824e-5	Pa⋅s
	Flow restriction constant	3.3640e-06	1.6019e-07	m^3/(s⋅Pa)
	Lower chamber volume	3.0000e-04	1.8170e-04	m^3
	Upper chamber volume	2.7298e-05	2.3000e-03	m^3