A MODIFIED FREQUENCY–AMPLITUDE FORMULATION FOR FRACTAL VIBRATION SYSTEMS

Author:

HE CHUN-HUI1ORCID,LIU CHAO12ORCID

Affiliation:

1. School of Civil Engineering, Xi’an University of Architecture and Technology, Xi’an, Shaanxi, P. R. China

2. School of Science, Xi’an University of Architecture and Technology, Xi’an, Shaanxi, P. R. China

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.

Funder

National Key Research and Development Program of China

National Natural Science Foundation of China

Excellent Youth Science Foundation Project of Shaanxi Province

Innovative Talent Promotion Plan of Shaanxi Province

Key Research and Development Projects of Shaanxi Province

Science Key Research and Development Project of Shaanxi Province

Technology Innovation Base of Shaanxi Province

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

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