A vibrating string with dynamic frictionless impact

• Autores: Jeongho Ahn
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 57, Nº. 8, 2007, págs. 861-884
• Idioma: inglés
• DOI: 10.1016/j.apnum.2006.07.033
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this paper, we consider the wave equation with unilateral constraints, which describes the transverse motion of vibrating string with fixed ends impacting a stationary rigid obstacle. Conservation of energy is investigated. Convergence of the numerical trajectories in both semi-discrete case and fully-discrete case is proved. The numerical scheme is implemented with the complementarity problem that arises in the numerical method being solved, using the Fischer-Burmeister function. Our numerical results provide evidence of energy conservation with some particular shapes of obstacle.