Connecting Rod Mechanism

Overview

Engineering reference data for Connecting Rod Mechanism in mechanics.

Key Formulas

Newton's Second Law

$F = ma$

Force = mass × acceleration.

Work

$W = Fd\cos\theta$

Work = force × displacement × cos(angle).

Kinetic Energy

$E_k = \frac{1}{2}mv^2$

Energy of motion.

Potential Energy

$E_p = mgh$

Gravitational potential energy.

Variables

Symbol	Description	Unit
$F$	Force	N
$m$	Mass	kg
$a$	Acceleration	m/s²
$v$	Velocity	m/s

Connecting Rod Mechanism Equations

The position, velocity, and acceleration of a connecting rod converting rotational to reciprocating motion are described by the following kinematic relationships:

Position of the Rod: $s = r (1 - \cos \phi) + \frac{\lambda}{2} r \sin^2 \phi$

Velocity of the Rod: $v = \omega r \sin \phi (1 + \lambda \cos \phi)$

Acceleration of the Rod: $a = \omega^2 r (\cos \phi + \lambda \cos 2\phi)$

where:

• $\phi = \omega t = 2\pi n_s t$ is the crank angle (rad)
• $\lambda = \frac{r}{l}$ is the crank ratio (dimensionless)

References

• Original Source