A MODIFIED FREQUENCY–AMPLITUDE FORMULATION FOR FRACTAL VIBRATION SYSTEMS
Chun‐Hui He, Chao Liu
Abstract
The simplest frequency formulation for nonlinear oscillators is introduced and proved, and a modification is suggested. A fractal vibration in a porous medium is introduced, and its low-frequency property is elucidated by the frequency formulation. It reveals that the inertia force in a fractal space is equivalent to a couple of the inertia force and the damping force for the traditional differential model.
Topics & Concepts
InertiaFractalVibrationNonlinear systemMathematicsMathematical analysisAmplitudeSpace (punctuation)Property (philosophy)Classical mechanicsPhysicsMechanicsControl theory (sociology)AcousticsComputer scienceArtificial intelligenceEpistemologyOperating systemQuantum mechanicsControl (management)PhilosophyAcoustic Wave Phenomena ResearchFractional Differential Equations SolutionsExperimental and Theoretical Physics Studies