6533b854fe1ef96bd12af1f6
RESEARCH PRODUCT
Eine Bemerkung zur Frage der Verwendung Lagrangescher Koordinaten in der Physik nichtlinearer Schwingungen
H. Müllersubject
PharmacologyPhysicsDifferential equationMotion (geometry)Cell BiologyVibrating stringString (physics)law.inventionHigh Energy Physics::TheoryCellular and Molecular NeuroscienceClassical mechanicsSystem of differential equationsLinear differential equationlawMolecular MedicineElementary theoryCartesian coordinate systemMolecular Biologydescription
For the Cartesian coordinates of the elements of a vibrating string, which are introduced as functions of time and a parameter (similar to the Lagrangean method in hydrodynamics), a general, non-linear system of differential equations is offered. The behaviour of the freely vibrating string corresponding to this system agrees, approximately, with the behaviour of a string put in motion in a certain way, which string, if moving freely, would act according to the linear differential equation of the elementary theory.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1958-05-01 | Experientia |