Given link lengths and crank angle, output the angles of the coupler and follower, plus the coupler point position.
Second derivatives provide angular accelerations, essential for force and inertia calculations.
Solving for (\theta_3) and (\theta_4) (the coupler and follower angles) requires solving a , often handled via the Freudenstein equation: 4 bar link calculator
Differentiating the loop equations yields angular velocities using the known input angular velocity.
[ r_2 \cos\theta_2 + r_3 \cos\theta_3 = r_1 + r_4 \cos\theta_4 ] [ r_2 \sin\theta_2 + r_3 \sin\theta_3 = r_4 \sin\theta_4 ] Given link lengths and crank angle, output the
where (K_1, K_2, K_3) are constants derived from link lengths. A 4-bar link calculator automates this solution, handling the two possible assembly configurations (open vs. crossed). A comprehensive 4-bar link calculator typically offers:
Breaking into (x) and (y) components for a given crank angle (\theta_2): [ r_2 \cos\theta_2 + r_3 \cos\theta_3 = r_1
[ K_1 \cos\theta_4 + K_2 \cos\theta_2 + K_3 = \cos(\theta_2 - \theta_4) ]