Research Article
An Analytical Model for a Pneumatic Vibration Isolator with the Stiffness Effect of the Elastomeric Diaphragm
Table 3
Stiffnesses from the calculations and experiments.
| | Symbol | Description | Value 1 | Value 2 | Unit |
| | Part “1” length stretched | 15.0e-04 to 9.19e-04 | 22.0e-04 to 14.0e-04 | m | | Part “2” length stretched | 8.53e-04 to 5.16e-04 | 9.90e-04 to 5.85e-04 | m | | Part “3” length stretched | 13.0e-04 to 8.55e-04 | 18.0e-04 to 11.0e-04 | m | | Part “4” length stretched | 6.26e-04 to 3.88e-04 | 8.23e-04 to 4.94e-04 | m |
| | Part “1” stiffness | 1.87e+04 to 3.24e+04 | 9.97e+04 to 1.75e+05 | N/m | | Part “2” stiffness | 3.54e+04 to 6.32e+04 | 2.34e+05 to 4.12e+05 | N/m | | Part “3” stiffness | 1.90e+04 to 3.10e+04 | 1.04e+05 to 1.73e+05 | N/m | | Part “4” stiffness | 4.84e+04 to 8.42e+04 | 2.52e+05 to 4.54e+05 | N/m | | Part “1” and “2” equivalent stiffness | 1.23e+04 to 2.14e+04 | 6.99e+04 to 1.23e+05 | N/m | | Part “3” and “4” equivalent stiffness | 1.36e+04 to 2.27e+04 | 7.35e+04 to 1.25e+05 | N/m |
| | Rubber diaphragm stiffness | 2.59e+04 to 4.41e+04 | 1.43e+05 to 2.48e+05 | N/m | | Air stiffness | 0.2850e+04 | 2.5406e+04 | N/m | | Total stiffness | 2.87e+04 to 4.90e+04 | 1.69e+05 to 2.74e+05 | N/m | | Experimental stiffness | 3.5975e+04 | 2.0819e+05 | N/m |
| | Calculated inherent frequency | 6.0332 to 7.7096 | 3.3769 to 4.2931 | Hz | | Experimental inherent frequency | 6.625 | 3.5 | Hz |
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