VARYING PRESSURE The table below presents data regarding two segments of travel: each being one half inch. SEGMENT TRAVEL VOLUME CHANGE LOAD FLUID PRESSURE LOW HIGH AVERAGE 1.25”-1.75” .5” 11.854 IN³ 59.75 lb 56” WG 58.0” WG 57.00” WG 2.00”-2.50” .5” 11.700 IN³ 59.75 lb 59” WG 61.7” WG 60.35” WG The output is equal regarding both segments of travel, each lifting 59.75 lb through .5”. (W=FD) W = 59.75 lb x .5 in = 29.87 in/lb The input work for one segment from 1.25” to 1.75” is: (W=PV) 57” WG (2.057 PSI) x 11.854 IN³ = 24.38 in/lb The work input for the segment from 2.0” to 2.5” is: (W=PV) 60.35” WG (2.178 PSI) x 11.7 IN³ = 25.48 in/lb NOTE: The work output for both segments is equal (29.87 in/lb), maintaining equilibrium, but the work inputs are different (24.38 in/lb and 25.48 in/lb). 55 56 57 58 59 60 61 62 63 64 65 66 67 0 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5 2.75 3 3.25 (2.875" LIFT, 65.9"WG) (2.675" LIFT, 63"WG) (2.413" LIFT, 61"WG) (2" LIFT, 59"WG) (1.25" LIFT, 56"WG) 9.125" 9.125" 2.625" 2.625" FLOATING HINGE ANCHORED HINGE FLOATING HINGE FLOATING HINGE ANCHORED HINGE DIAMOND-SHAPED ACTUATOR EQUILIBRIUM POINTS AT VARIOUS PRESSURES WITH A CONSTANT 59.75# LOAD INCHES OF LIFT AT EQUILIBRIUM WITH A CONSTANT 59.75# LOAD The above graph illustrates the equilibrium performance of our test model with a constant 59.75 pound load. DIAMOND-SHAPED ACTUATOR V = 68.005 IN³ V = 63.383 IN³ V = 59.318 IN³ V = 57.291 IN³ V = 47.618 IN³ V = 41.725 IN³ V = 29.871 IN³ (2.500” LIFT, 61.7”WG) V = 11.7 IN³ LIFT = .5” 2.0” TO 2.5” V = 11.854 IN³ LIFT = .5” 1.25” TO 1.75” 56”WG TO 58”WG 59”WG TO 61.7”WG “WG PRESSURE APPLIED TO DIAMOND-SHAPED ACTUATOR FLUID DIAMOND-SHAPED ACTUATOR’S PERFORMANCE LINE 13.369
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