What Is the Flywheel Kinetic Energy & Sizing Calculator?
The Flywheel Kinetic Energy & Sizing Calculator sizes mechanical rotating flywheels to damp cyclical speed fluctuations in reciprocating machinery.
How Does the Flywheel Kinetic Energy & Sizing Calculator Work?
Balances energy storage against allowable rotational speed drop to compute required mass moment of inertia and hoop stress safety.
Flywheel Kinetic Energy & Sizing Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
I = \frac{\Delta E}{C_f \cdot \omega_{mean}^2}, \quad m_{disc} = \frac{2 I}{R^2}, \quad v_{rim} = \omega_{mean} R
Sizes rotating inertia to smooth cyclical torque variations within acceptable speed ripple.
How to Use the Flywheel Kinetic Energy & Sizing Calculator
- Enter cycle energy fluctuation (ΔE) in Joules.
- Specify average machine RPM and allowable speed fluctuation factor.
- Enter outer radius and flywheel geometry type.
Step-by-Step Example Calculation
Single-Cylinder Engine Flywheel Sizing
Input Values:
energyFluctuation:5000
meanRpm:1500
coefficientFluctuation:0.03
flywheelOuterRadius:0.3
flywheelType:solidDisc
Worked Steps: Requires 6.75 kg·m² inertia, yielding a solid disc mass of 150.1 kg and safe 47.1 m/s rim speed.
Understanding Your Result
Moment of Inertia (I): Rotational inertia required.
Flywheel Mass: Total weight of rotating wheel.
Rim Speed: Peripheral velocity evaluated against centrifugal tensile burst limits.
Factors That Affect the Result
- Inertia requirement drops with the square of speed (ω²); high-speed shafts require exponentially smaller flywheels.
When Should You Use This Calculator?
- Punch presses, stone crushers, internal combustion engines, and reciprocating compressor drives.
Assumptions & Limitations
- Assumes rigid rotor without shaft torsional flexibility coupling.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard machine design formulation per Shigley’s Mechanical Engineering Design.