Dynamic stability/instability simulation of the rotary size-dependent functionally graded microsystem

Huang, Xiaoping; Hao, Huadong; Oslub, Khaled; Habibi, Mostafa; Tounsi, Abdelouahed

doi:10.1007/s00366-021-01399-3

Cited by 47 publications

(5 citation statements)

References 101 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…34–36 Additionally, up to now, many studies have been carried out to investigate the static and dynamic behaviors of micro/nano structures based on the higher-order theories. 37–46…”

Section: Introductionmentioning

confidence: 99%

“…[34][35][36] Additionally, up to now, many studies have been carried out to investigate the static and dynamic behaviors of micro/nano structures based on the higher-order theories. [37][38][39][40][41][42][43][44][45][46] It is known that thermoelastic analysis for microstructures under non-uniform temperature field is vital. 47 The classical thermoelasticity proposed by Biot assumes that the speed for heat transfer is infinite due to the inherent nature of the parabolic heat conduction model.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Nonlocal dual-phase-lag thermoviscoelastic response of a polymer microbeam incorporating modified couple stress and fractional viscoelastic theories

Peng

2022

The Journal of Strain Analysis for Engineering Design

View full text Add to dashboard Cite

Ultra-slow relaxation process of polymers has the memory-dependent feature, integer-order thermoviscoelastic models may fail to describe the dynamic behaviors of viscoelastic structures accurately. Additionally, it is noticed that the small-scale effect of elastic deformation and heat conduction in a non-isothermal temperature environment is becoming significant due to the development of micro-devices. To better capture the memory-dependent effect and the small-scale effect of viscoelastic micro-structures in heat transfer environment, as a first attempt, present work focuses on developing a refined fractional Kelvin-Voigt thermoviscoelastic model by incorporating the nonlocal dual-phase-lag (NDPL) heat conduction model and the modified coupled stress theory (MCST). Then, the model is applied to investigating the transient response of a polymer microbeam subjected to a harmonic thermal loading. The governing equations involving the modified parameters are formulated and then solved by Laplace transform method. Some parametric results are demonstrated to display the impacts of the nonlocal thermal parameter, the material length-scale parameter and the fractional-order parameter on the considered physical quantities. The results show that the small-scale effect and the memory-dependent effects strongly depend on the polymer micro-structure characteristics in thermal environment.

show abstract

“…34–36 Additionally, up to now, many studies have been carried out to investigate the static and dynamic behaviors of micro/nano structures based on the higher-order theories. 37–46…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlocal dual-phase-lag thermoviscoelastic response of a polymer microbeam incorporating modified couple stress and fractional viscoelastic theories

Peng

2022

The Journal of Strain Analysis for Engineering Design

View full text Add to dashboard Cite

show abstract

“…To build stiffer structures or to meet the design criteria, one can tune the material properties, which can be done by employing functionally graded materials. Thus, members made of functionally graded materials are found quite useful (Al-Furjan et al, 2020; Huang et al, 2021; Kumar et al, 2021; Van Vinh and Tounsi, 2022). Apart from the materials, geometry is also another useful design parameter.…”

Section: Introductionmentioning

confidence: 99%

Free vibrations of spatial frame structures: Analytical modelling and solution

Genel

Tüfekçi

2022

Journal of Vibration and Control

View full text Add to dashboard Cite

This study analytically handles the three-dimensional free vibrations of spatial frames using the initial values method, considering the axial and shear deformations alongside rotary inertias, namely, torsional, in-plane bending and out-of-plane bending. To handle the spatial geometry, the direction cosine matrices are used. Validation is performed with three cases in total, one case available in the literature alongside two numerical examples that are solved analytically and compared to the finite element models. Excellent agreements are found between the analytical results and the results in the literature, as well as those obtained from the finite element models.

show abstract

“…The impedance matrix was introduced to resolve the Lamb wave propagation problem in an axially layered waveguide (Pagneux and Maurel, 2002), though it seems to be invalid to address the scattering problem at the structure with abrupt thickness change. The generalized differential quadrature method was adopted to investigate the responses of the viscoelastic disk in the thermal environment and subject to a harmonic external load (Al-Furjan et al, 2020a; 2020b; 2020c; 2020d; Al-Furjan et al, 2021a; 2021b; Huang et al, 2021), which models the wave propagation in sandwich and functionally graded structures. Recently, a simple four-unknown integral higher-order shear deformation theory was carried out to investigate the effects of moisture and temperature on wave propagation in porous functionally graded sandwich plates (Tahir et al, 2021).…”

Section: Introductionmentioning

confidence: 99%

Generalized scattering matrix method for Lamb wave scattering analysis at cascaded notches

Cao

Zeng

Lin

2021

Journal of Vibration and Control

View full text Add to dashboard Cite

A thorough understanding of the scattering mechanism of Lamb waves at discontinuities is of interest for quantitative evaluation of structural properties and mode control. This study extends the generalized scattering matrix method to investigate the interaction of straight crested Lamb waves with multiple cascaded rectangular notches. Based on the orthogonality and completeness of Lamb modes, the mode matching method is utilized to determine the scattering matrices of downward and upward step discontinuities. After that, the generalized scattering matrix method is employed to determine the scattering matrices of a single rectangular notch and the recurrence relations between the scattering matrices of n + 1 cascaded notches and those of n cascaded notches. Finally, the scattering matrices of multiple cascaded notches can be easily obtained taking advantage of the recurrence relations. As the number of cascaded notches increases, more and sharper peaks appear in the scattering coefficient curves. The finite element simulations conducted in the time domain validate the theoretical results for cascaded notches with identical or different depths, which demonstrate that this method can be applied to find the scattering coefficients at piece-wise periodic or nonperiodic waveguides. The generalized scattering matrix method may have potential applications in quantitative nondestructive evaluation and mode control.

show abstract

Dynamic stability/instability simulation of the rotary size-dependent functionally graded microsystem

Cited by 47 publications

References 101 publications

Nonlocal dual-phase-lag thermoviscoelastic response of a polymer microbeam incorporating modified couple stress and fractional viscoelastic theories

Nonlocal dual-phase-lag thermoviscoelastic response of a polymer microbeam incorporating modified couple stress and fractional viscoelastic theories

Free vibrations of spatial frame structures: Analytical modelling and solution

Generalized scattering matrix method for Lamb wave scattering analysis at cascaded notches

Contact Info

Product

Resources

About