MENG 364 — Module 5: Balancing

Analysis Mode

Rotor Balancing

4-Bar Balancing

Enter unbalance masses. Each has mass m (g), radius r (mm), angle θ (°), and axial position l (mm) from reference plane A.

#	m (g)	r (mm)	θ (°)	l (mm)

Correction Planes

Plane A l = mm

Plane B l = mm

Correction masses placed at r = 50 mm

Corr. radius mm

Link Lengths

a — Crank ?cm

b — Coupler ?cm

c — Follower ?cm

d — Ground ?cm

Link Masses

m₂ — Crank kg

m₃ — Couplerkg

m₄ — Followerkg

Crank Counterweight

A counterweight on link 2, diametrically opposite to CG, reduces shaking force. Set fraction k (0=none, 1=full static balance of crank).

k — fraction —

k slider1.00

r_cw radius cm

m_cw = k · m₂ · (a/2) / r_cw (CG of crank assumed at midpoint)

Speed

ω₂ rpm

Assembly: Open

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Shaft Diagram — Axial View

Balance Polygon (mR vectors)

Static Balance

ΣmR_x (g·mm)—

ΣmR_y (g·mm)—

|ΣmR| (g·mm)—

Correction mass @ plane A

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@ θ = —°

Static balance: single-plane correction that eliminates the centrifugal force resultant. Does not eliminate the couple.

Dynamic Balance (2-Plane)

Correction masses in planes A and B simultaneously eliminate force and couple.

Correction @ Plane A

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@ θ = —°

Correction @ Plane B

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@ θ = —°

Residual |ΣmR| after correction—

Diagnostics