2010
DOI: 10.1016/j.mechmachtheory.2010.08.006
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Modeling and sensitivity analysis of a pneumatic vibration isolation system with two air chambers

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Cited by 23 publications
(15 citation statements)
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“…The calculation of the volume flow through the outlet nozzle was performed for the constant state, when the pressure in the side air chamber equalized (p 1 = p 2 ). With this assumption, the volumetric flow rate was calculated for the slit outlet nozzle [4,6]: The flow of air Q 3 through the annular slit formed between the lower surface of the pneumatic cushion and the rigid surface was calculated by integrating the elementary flow q r through a segment of the ring-shaped surface of the thickness of dr within limits from R 2 to [5,6]. After performing simple transformations, a formula was obtained describing the air flow rate at the pneumatic cushion outlet for a constant state:…”
Section: Model Of the Pneumatic Cushion With A Single Outletmentioning
confidence: 99%
“…The calculation of the volume flow through the outlet nozzle was performed for the constant state, when the pressure in the side air chamber equalized (p 1 = p 2 ). With this assumption, the volumetric flow rate was calculated for the slit outlet nozzle [4,6]: The flow of air Q 3 through the annular slit formed between the lower surface of the pneumatic cushion and the rigid surface was calculated by integrating the elementary flow q r through a segment of the ring-shaped surface of the thickness of dr within limits from R 2 to [5,6]. After performing simple transformations, a formula was obtained describing the air flow rate at the pneumatic cushion outlet for a constant state:…”
Section: Model Of the Pneumatic Cushion With A Single Outletmentioning
confidence: 99%
“…, (15), and (16), one can develop a block diagram for the nozzle-flapper-relay, as shown in Figure 3.…”
Section: A Fractional Order Model For the Nozzle-flapper-relaymentioning
confidence: 99%
“…Recently in [16] a model of a pneumatic vibration isolation system (PVIS) has been presented. However, a thorough study on the modeling of the pneumatic elements via fractional order differential equations has not been considered yet.…”
Section: Introductionmentioning
confidence: 99%
“…This differs from the traditional air spring both in structure type and in the vibration characteristics. The compression of the gas in the traditional air spring was controlled by a piston, which acted on the pressure surface of the air spring [21][22][23]. As shown in Figure 1a, the displacement of the piston, x 0 , causes a compression of the air in the upper chamber.…”
Section: Introductionmentioning
confidence: 99%