The fastest insight into the large amplitude vibration of a string
Na Qie, Wei-Fan Houa, Ji‐Huan He
Abstract
This paper recommends a simple and excusive approach to a strongly nonlinear oscillator. Its frequency property can be immediately obtained by the simplest calculation. The results show that the method leads to an approximate solution with relatively high accuracy. Considering the simplest solution process, this paper provides a highly efficient tool for fast determination of the amplitude-frequency relationship of a nonlinear oscillator. The large amplitude vibration of a string is used as an example to illustrate the solution process.
Topics & Concepts
AmplitudeString (physics)VibrationNonlinear systemProperty (philosophy)Simple (philosophy)Process (computing)Computer sciencePhysicsControl theory (sociology)Mathematical analysisMathematicsAcousticsTheoretical physicsQuantum mechanicsArtificial intelligenceOperating systemEpistemologyPhilosophyControl (management)Acoustic Wave Phenomena ResearchFractional Differential Equations SolutionsAdvanced Adaptive Filtering Techniques