Recherches sur la courbe que forme une corde tendue mise en vibration.¶
d'Alembert, J. l. R. (1747). Recherches sur la courbe que forme une corde tendue mise en vibration. Histoire de l'Academie Royale des Sciences et Belles-Lettres de Berlin, 3, 214-219.
Cited by¶
2 citations across 2 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Oscillation
- . Amplitude and phase. The oscillation has a definable amplitude (how far it swings) and phase (where in the cycle it currently sits), allowing diagnostic characterization. Source of energy or driving, if persistent. Free oscillations decay through dissipation unless undriven and conservative; sustained oscillations require either conservative dynamics (idealized) or a driving source that resupplies what dissipation removes. d'Alembert's 1747 analysis of coupled oscillation in vibrating strings
This sourceDerives and solves the wave equation for a vibrating string as a coupled oscillator system; establishes the principle that spatial oscillators couple through elastic forces, linking the local oscillation at each point to neighboring points and introducing wave propagation as a manifestation of coupled oscillation.
- . Amplitude and phase. The oscillation has a definable amplitude (how far it swings) and phase (where in the cycle it currently sits), allowing diagnostic characterization. Source of energy or driving, if persistent. Free oscillations decay through dissipation unless undriven and conservative; sustained oscillations require either conservative dynamics (idealized) or a driving source that resupplies what dissipation removes. d'Alembert's 1747 analysis of coupled oscillation in vibrating strings
- Wave
- The modern wave equation
This sourceDerives and solves the one-dimensional wave equation for a vibrating string; establishes d'Alembert's solution and the principle of superposition for waves; first rigorous treatment of wave propagation.
- The modern wave equation
Verification¶
Does it exist? Not checked yet. This entry carries no identifier to resolve. It was extracted from the citation as written in the article, normalized, and deduplicated against the rest of the registry.
Does it back the claim? Not recorded. Neither this nor any other of the 2 citations of this work carries a recorded support check.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
See how references were verified.
Registry ID ref:2833e9ba0a9f · see in the full table