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Conn-Rod Mechanism

The connecting rod mechanism.

The connection rod (conn-rod) mechanism

A connecting rod - conn-rod - mechanism converts rotating motion to reciprocating motion - or vice versa.

The position of the rod can be expressed as

s = r (1 - cos(φ)) + (λ / 2) r sin2(φ)                                (1)

where

s = position of the rod (m)

r = radius of crank (m)

φ = ω t

   = 2 π ns t

   = angular position of crank (rad)

ω = crank angular velocity (rad/s)

t = time (s)

ns = revolution per second (1/s)

λ = r / l

   = crank ratio

l = length of rod (m)

The velocity of the rod can be expressed as

v = ω r sin(φ) (1 + λ cos(φ))                               (2)

where

v = velocity of rod (m/s)

The acceleration of the rod can be expressed as

a = ω2 r (cos(φ) + λ cos(2φ))                                (3)

where

a = acceleration of rod (m/s2)

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