What Is the Scotch Yoke Kinematics & Shaker Acceleration Calculator?
The Scotch Yoke Kinematics Calculator evaluates linear stroke, acceleration profiles, and dynamic inertia loading for pure harmonic reciprocating mechanisms.
How Does the Scotch Yoke Kinematics & Shaker Acceleration Calculator Work?
It computes ideal simple harmonic motion equations for position, velocity, and acceleration based on constant crank angular velocity.
Scotch Yoke Kinematics & Shaker Acceleration Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
S = 2r, \quad v_{max} = r \omega, \quad a_{max} = r \omega^2, \quad F = m \cdot a_{max}
Pure simple harmonic motion (SHM) kinematics without second-harmonic slider-crank obliquity error.
How to Use the Scotch Yoke Kinematics & Shaker Acceleration Calculator
- Input crank radius (half stroke) in mm.
- Specify crankshaft operating rotational speed in RPM.
- Enter total reciprocating payload mass in kg.
Step-by-Step Example Calculation
High-Frequency Test Shaker Table
Input Values:
crankRadiusMm:50
crankSpeedRpm:600
reciprocatingMassKg:4.5
Worked Steps: Generates 100 mm stroke, 3.14 m/s peak velocity, 197.4 m/s² (20.1 g) maximum acceleration, and 888.3 N dynamic inertia force.
Understanding Your Result
Peak Slider Acceleration: Maximum g-force experienced at top and bottom dead centers.
Peak Inertia Force: Dynamic shaking load transmitted to frame bearings and foundation mounts.
Factors That Affect the Result
- Acceleration scales with the square of RPM (ω²): doubling drive speed quadruples dynamic inertia forces.
When Should You Use This Calculator?
- Environmental vibration test shakers, high-pressure reciprocating slurry pumps, compact IC engines, and valve actuators.
Assumptions & Limitations
- Assumes zero slot clearance backlash and rigid components rotating at constant angular speed.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Closed-form exact kinematic solution for planar Scotch yoke drives.