Stationary Responses of Seven Classes of Fractional Vibrations Driven by Sinusoidal Force-Reference-Cited by-同舟云学术

Stationary Responses of Seven Classes of Fractional Vibrations Driven by Sinusoidal Force

Published:2024-08-16 Issue:8 Volume:8 Page:479
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Li Ming¹²^ORCID

Affiliation:

1. Ocean College, Zhejiang University, Zhoushan 316021, China

2. School of Communication and Electronic Engineering, East China Normal University, Shanghai 200062, China

Abstract

This paper gives the contributions in three folds. First, we propose fractional phasor motion equations of seven classes of fractional vibrators. Second, we put forward fractional phasor responses to seven classes of fractional vibrators. Third, we bring forward the analytical expressions of stationary responses in time to seven classes of fractional vibration systems driven by sinusoidal force using elementary functions. The present results show that there are obvious effects of fractional orders on the sinusoidal stationary responses to fractional vibrations.

Publisher

MDPI AG

Link

https://www.mdpi.com/2504-3110/8/8/479/pdf

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