کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5014249 1463180 2018 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Application of the generalized Hooke's law for viscoelastic materials (GHVMs) in nanoscale mass sensing applications of viscoelastic nanoplates: A theoretical study
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Application of the generalized Hooke's law for viscoelastic materials (GHVMs) in nanoscale mass sensing applications of viscoelastic nanoplates: A theoretical study
چکیده انگلیسی


- Material damping of the sensor has been represented by the Zener model instead of the Kelvin-Voigt model.
- For simply supported edges, an analytical expression is derived for the damped natural frequency of the sensor.
- Nonlocal parameter has lesser influence on damped frequency shift of the Zener model compared to the Kelvin-Voigt model.

Reviewing the literature reveals that in all previous research works related to the damped vibration analysis of nanoplates except (Rajabi and Hosseini-Hashemi, 2017a), the material damping of nanoplates has been represented by the Kelvin-Voigt model without any reasonable justification. The Kelvin-Voigt model has no instantaneous elasticity in creep and also shows unrealistic behavior in relaxation. Due to these drawbacks, the Kelvin-Voigt model fails to capture time domain characteristics of viscoelastic solid materials correctly. On the other hand, the Zener model can predict both creep and relaxation functions of a viscoelastic solid material well in the time domain.In the present paper based on the combination of generalized Hooke's law for viscoelastic materials (GHVMs) and the nonlocal elasticity theory, a general 2-D theory of nonlocal viscoelasticity is obtained. A nanoscale mass-sensor is proposed based on the damped vibration analysis of a viscoelastic orthotropic Kirchhoff-Love nanoplate. The material damping of the nanoplate is represented by the Zener model for illustration purposes. For simply supported boundary conditions, analytical expression is obtained for the eigenfrequencies of the sensor.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Mechanics - A/Solids - Volume 67, January–February 2018, Pages 71-83
نویسندگان
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