Abstract
Vibration characteristics of elastic nanostructures embedded in fluid medium have been used for biological and mechanical sensing and also to investigate materials and mechanical properties. An analytical approach has been developed in this paper to accurately predict toroidal vibrations of an elastic nanosphere in water–glycerol mixture. The Maxwell and Kelvin–Voigt models are used to describe the viscoelasticity of this fluid. The influence of key parameters such as glycerol mass fraction, sphere radius, and angular mode number are studied. We demonstrate that the sphere radius plays a significant role on the quality factor. Results also highlight three behavior zones: viscous fluid, transition, and elastic solid. In addition, these investigations can serve as benchmark solution in design of liquid sensors.
Highlights
Vibration analysis of embedded nanoparticles in fluid medium have attracted strong interest owing to various applications, especially in designing biological sensors [1,2,3,4,5,6]
A novel analytical approach using Maxwell and Kelvin–Voigt models is proposed in this paper for predicting the toroidal vibrations of an elastic sphere in water–glycerol mixture
The numerical calculations for a gold nanosphere submerged in a viscoelastic fluid are conducted in order to quantitatively investigate the fluid model effect on the vibration characteristics of the fluid–structure interaction system
Summary
Vibration analysis of embedded nanoparticles in fluid medium have attracted strong interest owing to various applications, especially in designing biological sensors [1,2,3,4,5,6]. Theoretical studies were recently developed for predicting the various vibration scenarios of a gold nanosphere in water–glycerol mixture [15,16,17,18]. In these papers, the Maxwell model is used to describe the viscoelasticity of the. A novel analytical approach using Maxwell and Kelvin–Voigt models is proposed in this paper for predicting the toroidal vibrations of an elastic sphere in water–glycerol mixture. The idea is that the toroidal mode of an elastic structure can sense the fluid rheological properties. The metallic nanospheres whose volume and shape do not change, vibrate toroidally
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