Class GearMath

Utility class for mechanical gear calculations based on DIN 780 (Module system). Ensures gears perfectly mesh with each other.

Index

Constructors

Methods

getCenterDistance getDrivenSpeed getGearParams getMeshingRotation

Constructors

constructor

new GearMath(): GearMath
Returns GearMath

Methods

`Static`getCenterDistance

getCenterDistance(module: number, teeth1: number, teeth2: number): number
Calculates the exact distance required between the centers of two meshing gears.
Parameters
- module: number
  The module of both gears.
- teeth1: number
  Number of teeth of the first gear.
- teeth2: number
  Number of teeth of the second gear.
Returns number
The exact distance between their centers.
- Defined in math/GearMath.ts:60

`Static`getDrivenSpeed

getDrivenSpeed(
    speed1: number,
    teeth1: number,
    teeth2: number,
    internal?: boolean,
): number
Calculates the relative rotation speed (gear ratio) for a driven gear.
Parameters
- speed1: number
  The rotation speed of the driving gear.
- teeth1: number
  The number of teeth of the driving gear.
- teeth2: number
  The number of teeth of the driven gear.
- internal: boolean = false
  Set to true if gear2 is an internal ring gear (rotation direction stays the same).
Returns number
The rotation speed of the driven gear.
- Defined in math/GearMath.ts:72

`Static`getGearParams

getGearParams(module: number, teeth: number): GearParameters
Calculates all necessary physical parameters for a gear.
Parameters
- module: number
  The module (size of the teeth). Must be the same for all meshing gears.
- teeth: number
  The number of teeth on the gear.
Returns GearParameters
GearParameters object containing values to feed into the Gear geometry.
- Defined in math/GearMath.ts:35

`Static`getMeshingRotation

getMeshingRotation(
    pos1: Vector3D,
    rotZ1: number,
    params1: GearParameters,
    pos2: Vector3D,
    params2: GearParameters,
): number
Calculates the exact Z-rotation required for gear2 to perfectly interlock with gear1. Assumes both gears lie on the same XY plane and rotate around the Z axis.
Parameters
- pos1: Vector3D
  The position of the first gear.
- rotZ1: number
  The current Z-rotation of the first gear (in radians).
- params1: GearParameters
  The parameters of the first gear.
- pos2: Vector3D
  The position of the second gear.
- params2: GearParameters
  The parameters of the second gear.
Returns number
The required Z-rotation for gear2 (in radians).
- Defined in math/GearMath.ts:93