MOTION OF CRANK-SLIDER MECHANISM


INPUT   DATA EXAMPLE Of Input/Output

Title  

Length of Connecting rod, L   length 

    

Radius of Crank, R length 
Angular velocity of Crank, ω  rpm  
Instantaneous Crank Angle, θ  °  


     Reset


OUTPUT   VARIABLES   &   GRAPHS

VARIABLES   Values   Units
 ♦ Displacement, X   length  Graphs:
 Slider displacement Vs Crank angle  
 Velocity Vs Angle  
 Acceleration Vs Angle  
 ♦Angular Velocity of Rod, dφ/dt   rpm/s 
 ♦Linear Velocity of Slider, dX/dt   length/s 
 ♦ Angular Acceleration, d2φ/dt2   rpm/s2 
 ♦Slider Acceleration, d2X/dt2   length/s2 

THEORY  &   FORMULAE

Slider Crank Mechanism

A mechanism is a device used to produce mechanical transformation in a machine. The crank-connecting rod & slider mechanism is used for converting angular (rotational) motion to linear (piston) motion. The following equations describe the kinematics of this mechanism:

    

where
     L = length of connecting rod
     R = radius of crank
     ω = constant angular velocity of crank
     X = distance from crankshaft center to wristpin of slider
     X′ = slider velocity
     X″ = slider acceleration
     θ = crank angle from dead center, +ve anticlockwise
     φ = angular position of connecting rod; φ=0 when θ=0
     φ′ = connecting rod angular velocity
     φ″ = connecting rod angular acceleration

All lengths are in the same units.

Tips

    ◊ Use link EXAMPLE Of Input/Output  to demo data entry expectations and results; you may edit & use it as starting point

BIBLIOGRAPHY