Class AbstractStringShapeAbstract

Defines initial conditions of a string used in the StringSim PDE simulation by specifying the initial displacement and velocity at each point of the string.

How to find the correct velocity for a traveling wave:

The d'Alembert equation for a left-moving traveling wave is f(x + ct), where f() is a general single-variable waveform, think of it as f(x) moving to the left as t increases. The velocity (partial derivative with respect to time) is then c f'(x + ct) which at time t=0 is c f'(x). So take the first derivative of the waveform, and multiply by c where c is the wave speed = sqrt(tension/density). Right-moving wave is f(x - ct) with derivative -c f'(x)

Hierarchy (view full)

Implements

Constructors

constructor

Methods

getClassName getLength getName position toString velocity

Constructors

constructor

Methods

Abstract getClassName

getLength

getName

  • getName(opt_localized?): string

  • Name of this StringShape, either a the language-independent name for scripting purposes or the localized name for display to user.

    Parameters

    • opt_localized: boolean = false

      true means return the localized version of the name; default is false which means return the language independent name.

    Returns string

    name of this StringShape

Abstract position

  • position(x): number

  • Returns the initial displacement at a point on the string.

    Parameters

    • x: number

      the location of the point of the string

    Returns number

    the displacement at that point of the string

toString

Abstract velocity

  • velocity(x): number

  • Returns the initial velocity at a point of the string.

    Parameters

    • x: number

      the location of the point of the string

    Returns number

    the velocity at that point of the string

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