The effect of sonic vibration on electrospun fiber mats

Abstract

Electrospun nanofibers have shown great potential in wide applications such as energy, filtration, medical devices, and sensors. For all these applications, fiber morphology, fiber diameter and pore size of electrospun fiber mat play critical roles in determining the performance of the final products. Research has proved that sonic vibration can dramatically improve the electrospinnability of polymer solutions and subsequently the resultant fiber properties. In this work, the effects of sonic vibration on fiber morphology as well as fiber diameter and the pore structures of electrospun polyacrylonitrile fiber mat were investigated. The relationships between sonic vibration and fiber diameter, and pore size of the electrospun fiber mats were also studied.

The simpler, the better: Analytical methods for nonlinear oscillators and fractional oscillators

“…He's frequency formulation was initially inspired by an ancient Chinese algorithm 36 ; now this formulation has gained much attention and has been under development, with various modifications appearing in open literature. [37][38][39][40][41][42][43][44][45] We define a residual function R(t) as…”

“…30,31 The most important property of a nonlinear oscillator is the relationship between the frequency and its amplitude, the simplest method to estimate the frequency-amplitude relationship might be He's frequency formulation [32][33][34] and the max-min approach, 35,36 which are still under development and many modifications were proposed to improve the accuracy. [37][38][39][40][41][42][43][44][45] Consider a nonlinear oscillator in the form u 00 þ fðuÞ ¼ 0; uð0Þ ¼ A; u 0 ð0Þ ¼ 0…”

He’s multiple scales method for nonlinear vibrations

“…The fractal derivative partner of the nonlinear oscillator occurs in microphysics 32 and nanotechnology. 33–39…”

Numerical approach to controlling a moving jet’s vibration in an electrospinning system: An auxiliary electrode and uniform electric field

“…Recently, Li et al. showed that the electrospinning process can be dramatically improved by sonic vibration, 24 Huang et al. systematically studied the frequency of an axially moving fiber, 25,26 this paper will discuss the vibration of a moving jet in the spinning process.…”