Space-time approach to numerical analysis of a string with a moving mass

DOI10.1002/nme.2372zbMath1195.74159OpenAlexW2116869918MaRDI QIDQ3590470

Czesław I. Bajer, Bartłomiej Dyniewicz

Publication date: 17 September 2010

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.2372

zbMATH Keywords

finite element methodmoving massvibrations of stringinertial loadspace -- time approachspace -- time finite element method

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Strings (74K05)

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Dynamic modeling of taut strings carrying a traveling mass ⋮ Time-step optimization method to improve calculation efficiency and feasibility validation reliance ⋮ Hamilton's law of variable mass system and time finite element formulations for time-varying structures based on the law ⋮ The analytical solutions for the wave propagation in a stretched string with a moving mass ⋮ Solution to the problem of a mass traveling on a taut string via integral equation ⋮ Vibrations of string due to a uniform partially distributed moving load: closed solutions ⋮ Time discontinuous finite element method for transient response analysis of linear time-varying structures

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