What the machine does
A bucket-wheel excavator cuts a bench with a slowly turning wheel (here Ø 21.6 m, 18 buckets of 6.6 m³, 2.6 rpm). The wheel boom slews across the face; each pass takes a slice of thickness t from a bench of height H. Material is lifted to the top of the wheel, falls through a chute onto the boom belt, passes the gallery over the machine house, the discharge boom and a belt wagon, and ends on the ground conveyor.
Throughput
Bucket-limited loose output is Qb = nb Vb (rpm/60) φ with fill factor φ; the in-situ (bank) volume is Qb/s where s is the swell factor (loose volume / bank volume, 1.1 to 1.4). The slewing demand is Qk = vs t H (swing speed x slice thickness x bench height). The conveyor carries Qc = v A λ with A the cross-section of a three-roll troughed belt (35°) heaped with a 20° surcharge, A ≈ 0.162 (0.9B − 0.05)² for equal rolls, and λ the loading.
Digging force and power
The specific cutting resistance ks (kN/m² = kPa) is the energy needed per m³ of bank material, so the cutting power is Pcut = ks Q and the tangential force on the cutting edge F = Pcut / vt with the peripheral speed vt = π D rpm / 60. Lifting adds Plift = ρ g hL Q with hL ≈ 0.65 D, plus idling losses P₀. With a shaft power η Pw available, the power-limited output is QP = (η Pw − P₀)/(ks + ρ g hL). The real output is the smallest of the four capacities, and above the knee ks* it falls like 1/(ks + ρ g hL). The governor in the model slows the slewing when the drive is overloaded, as the real automation does.
Ground pressure, tilting and turning
Mean pressure is W/A over the contact area of all tracks. The load of boom, counterweight, discharge boom and digging reaction is eccentric, so the pressure under a rigid footing is linear: p(x,z) = W/A + W ex x / Ix + W ez z / Iz; if the minimum drops below zero a track would lift. Tilt safety is the distance to the edge divided by the eccentricity. Turning makes the tracks skid sideways: the lateral resistance moment is about μt W x̄ (x̄ the mean distance of the track area from the slew axis), supplied by a thrust difference between outer and inner tracks at the gauge Bg.
What is simplified
The wheel is a continuous cutter at a constant mean fill (the pulsed discharge of single buckets is drawn but not modelled in the power); ks is constant for a given ground and does not depend on chip thickness, tooth wear or moisture; the tracks are rigid on a linear pressure distribution without sinkage; the stability model uses static masses. Values are of the order of the largest machines, not the data of one machine. No company or product is depicted.