Fig 1.
Schematic diagram of four-stage centrifugal-pump rotor system with balance disc.
Table 1.
Natural frequencies of each order obtained from analytical calculations.
Fig 2.
Vibration mode diagram of each order calculated using analytical method.
(a) First-order modal shape. (b) Second-order modal shape. (c) Third-order modal shape. (d) Fourth-order modal shape. (e) Fifth-order modal shape.
Fig 3.
ANSYS simulation modal-shape diagram of centrifugal pump with balance plate.
(a) First-order mode. (b) Second-order mode. (c) Third-order mode. (d) Fourth-order mode. (e) Fifth-order mode.
Table 2.
Comparison between analytical calculation and ANSYS simulation results.
Fig 4.
Comparison between analytical calculations and optimization results.
Fig 5.
Optimized mode shapes for each order.
(a) First-order modal shape. (b) Second-order modal shape. (c) Third-order modal shape. (d) Fourth-order modal shape. (e) Fifth-order modal shape.
Fig 6.
Four-stage centrifugal pump with back-bladed impellers.
Fig 7.
Modal vibration mode diagram based on ANSYS simulation.
(a) First-order mode. (b) Second-order mode. (c) Third-order mode. (d) Fourth-order mode.
Fig 8.
Comparison between analytical calculation and optimization results of back-vane centrifugal pump.