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2022年 第43卷 第3期    刊出日期：2022-03-01

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论文

A quasi-zero-stiffness isolator with a shear-thinning viscous damper

Guilin WEN, Yu LIN, Junfeng HE

2022, 43(3):  311-326.  doi:10.1007/s10483-022-2829-9

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Quasi-zero-stiffness (QZS) vibration isolators have been widely studied, because they show excellent high static and low dynamic stiffnesses and can effectively solve low-frequency and ultralow-frequency vibration. However, traditional QZS (T-QZS) vibration isolators usually adopt linear damping, owing to which achieving good isolation performance at both low and high frequencies is difficult. T-QZS isolators exhibit hardening stiffness characteristics, and their vibration isolation performance is even worse than that of linear vibration isolators under a large excitation amplitude. Therefore, this study proposes a QZS isolator with a shear-thinning viscous damper (SVD) to improve the vibration isolation performance of the T-QZS isolators. The force-velocity relation of the SVD is obtained, and a dynamic model is established for the isolator. The dynamic responses of the system are solved using the harmonic balance method (HBM) and the Runge-Kutta method. The vibration isolation performance of the system is evaluated using force transmissibility, and the isolator parameters are analyzed. The results show that compared with the T-QZS isolators, the proposed QZS-SVD isolator achieves the lower initial vibration isolation frequency and peak value, and exhibits better vibration isolation performance at medium and high frequencies. Moreover, the proposed isolator can withstand a large excitation amplitude in the effective vibration isolation range.



Propagation of Rayleigh-type surface waves in a layered piezoelectric nanostructure with surface effects

Lele ZHANG, Jing ZHAO, Guoquan NIE, Jinxi LIU

2022, 43(3):  327-340.  doi:10.1007/s10483-022-2824-7

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This work investigates the dispersion properties of Rayleigh-type surface waves propagating in a layered piezoelectric nanostructure composed of a piezoelectric nanofilm over an elastic substrate. As one of the most important features of nanostruc-tures, surface effects characterized by surface stresses and surface electric displacements are taken into account through the surface piezoelectricity theory and the nonclassical mechanical and electrical boundary conditions. Concrete expressions of the dispersion equation are derived, and numerical results are provided to examine the effects of several surface-related parameters, including the surface elasticity, surface piezoelectricity, surface dielectricity, surface density, as well as surface residual stress, on the dispersion modes and phase velocity. The size-dependent dispersion behaviors occurring with surface effects are also predicted, and they may vanish once the thickness of the piezoelectric nanofilm reaches a critical value.

Nonlocal thermal buckling and postbuckling of functionally graded graphene nanoplatelet reinforced piezoelectric micro-plate

Shuai WANG, Jiajia MAO, Wei ZHANG, Haoming LU

2022, 43(3):  341-354.  doi:10.1007/s10483-022-2821-8

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This paper analyzes the nonlocal thermal buckling and postbuckling behaviors of a multi-layered graphene nanoplatelet (GPL) reinforced piezoelectric micro-plate. The GPLs are supposed to disperse as a gradient pattern in the composite micro-plate along its thickness. The effective material properties are calculated by the Halpin-Tsai parallel model and mixture rule for the functionally graded GPL reinforced piezoelectric (FG-GRP) micro-plate. Governing equations for the nonlocal thermal buckling and postbuckling behaviors of the FG-GRP micro-plate are obtained by the first-order shear deformation theory, the von Kármán nonlinear theory, and the minimum potential energy principle. The differential quadrature (DQ) method and iterative method are introduced to numerically analyze the effects of the external electric voltage, the distribution pattern and characteristic of GPLs, and the nonlocal parameter on the critical buckling behaviors and postbuckling equilibrium path of the FG-GRP micro-plate in thermal environment.

Buckling analysis of functionally graded nanobeams under non-uniform temperature using stress-driven nonlocal elasticity

Chi XU, Yang LI, Mingyue LU, Zhendong DAI

2022, 43(3):  355-370.  doi:10.1007/s10483-022-2828-5

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In this work, the size-dependent buckling of functionally graded (FG) Bernoulli-Euler beams under non-uniform temperature is analyzed based on the stress-driven nonlocal elasticity and nonlocal heat conduction. By utilizing the variational principle of virtual work, the governing equations and the associated standard boundary conditions are systematically extracted, and the thermal effect, equivalent to the induced thermal load, is explicitly assessed by using the nonlocal heat conduction law. The stress-driven constitutive integral equation is equivalently transformed into a differential form with two non-standard constitutive boundary conditions. By employing the eigenvalue method, the critical buckling loads of the beams with different boundary conditions are obtained. The numerically predicted results reveal that the growth of the nonlocal parameter leads to a consistently strengthening effect on the dimensionless critical buckling loads for all boundary cases. Additionally, the effects of the influential factors pertinent to the nonlocal heat conduction on the buckling behavior are carefully examined.

Bending and vibration of two-dimensional decagonal quasicrystal nanoplates via modified couple-stress theory

Miao ZHANG, Junhong GUO, Yansong LI

2022, 43(3):  371-388.  doi:10.1007/s10483-022-2818-6

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Based on the modified couple-stress theory, the three-dimensional (3D) bending deformation and vibration responses of simply-supported and multilayered two-dimensional (2D) decagonal quasicrystal (QC) nanoplates are investigated. The surface loading is assumed to be applied on the top surface in the bending analysis, the traction-free boundary conditions on both the top and bottom surfaces of the nanoplates are used in the free vibration analysis, and a harmonic concentrated point loading is applied on the top surfaces of the nanoplates in the harmonic response analysis. The general solutions of the extended displacement and traction vectors for the homogeneous QC nanoplates are derived by solving the eigenvalue problem reduced from the final governing equations of motion with the modified couple-stress effect. By utilizing the propagator matrix method, the analytical solutions of the displacements of the phonon and phason fields for bending deformation, the natural frequency of free vibration, and the displacements of the phonon and phason fields for the harmonic responses are obtained. Numerical examples are illustrated to show the effects of the quasiperiodic direction, the material length scale parameter, and the the stacking sequence of the nanoplates on the bending deformation and vibration responses of two sandwich nanoplates made of QC and crystal materials.

Effects of stretching/shrinking on the thermal performance of a fully wetted convective-radiative longitudinal fin of exponential profile

B. J. GIREESHA, M. L. KEERTHI, G. SOWMYA

2022, 43(3):  389-402.  doi:10.1007/s10483-022-2836-6

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The present investigation focuses on the thermal performance of a fully wet stretching/shrinking longitudinal fin of exponential profile coated with a mechanism like a conveyer belt. The modeled equation is non-dimensionalized and solved by applying the Runge-Kutta-Fehlberg (RKF) method. The effects of parameters such as the wet parameter, the fin shape parameter, and the stretching/shrinking parameter on the heat transfer and thermal characteristics of the fin are graphically analyzed and discussed. It is inferred that the negative effects of motion and internal heat generation on the fin heat transfer rate can be lessened by setting a shrinking mechanism on the fin surface. The current examination is inclined towards practical applications and is beneficial to the design of fins.

Accurate and straightforward symplectic approach for fracture analysis of fractional viscoelastic media

Chenghui XU, Sen LENG, Zhenhuan ZHOU, Xinsheng XU, Zichen DENG

2022, 43(3):  403-416.  doi:10.1007/s10483-022-2825-8

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An accurate and straightforward symplectic method is presented for the fracture analysis of fractional two-dimensional (2D) viscoelastic media. The fractional Kelvin-Zener constitutive model is used to describe the time-dependent behavior of viscoelastic materials. Within the framework of symplectic elasticity, the governing equations in the Hamiltonian form for the frequency domain (s-domain) can be directly and rigorously calculated. In the s-domain, the analytical solutions of the displacement and stress fields are constructed by superposing the symplectic eigensolutions without any trial function, and the explicit expressions of the intensity factors and J-integral are derived simultaneously. Comparison studies are provided to validate the accuracy and effectiveness of the present solutions. A detailed analysis is made to reveal the effects of viscoelastic parameters and applied loads on the intensity factors and J-integral.

Conservative high precision pseudo arc-length method for strong discontinuity of detonation wave

Tianbao MA, Chentao WANG, Xiangzhao XU

2022, 43(3):  417-436.  doi:10.1007/s10483-022-2817-9

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A hyperbolic conservation equation can easily generate strong discontinuous solutions such as shock waves and contact discontinuity. By introducing the arc-length parameter, the pseudo arc-length method (PALM) smoothens the discontinuous solution in the arc-length space. This in turn weakens the singularity of the equation. To avoid constructing a high-order scheme directly in the deformed physical space, the entire calculation process is conducted in a uniform orthogonal arc-length space. Furthermore, to ensure the stability of the equation, the time step is reduced by limiting the moving speed of the mesh. Given that the calculation does not involve the interpolation process of physical quantities after the mesh moves, it maintains a high computational efficiency. The numerical examples show that the algorithm can effectively reduce numerical oscillations while maintaining excellent characteristics such as high precision and high resolution.

Droplet impact on wetted structured surfaces

M. MOHASAN, A. B. AQEEL, Huiling DUAN, Pengyu LYU, Yantao YANG

2022, 43(3):  437-446.  doi:10.1007/s10483-022-2820-5

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In this study, we numerically investigate the droplet impact onto a thin liquid film deposited on a structured surface with square pillars and cavities. The time evolution of crown geometry is strongly affected by the surface structure. When the thickness of the liquid film is larger than the structure height, the expanding speed of the crown base radius is independent of the structure width. However, if the liquid film thickness is equal to the structure height, the crown base expands slower as the structure width increases. Surface structures have strong effects on the crown height and radius, and can prevent ejected filament from breaking into satellite droplets for certain cases. For the liquid film with the thickness equal to the pillar height, both the crown height and the radius exhibit non-monotonic behaviors as the pillar width increases. There exists one pillar width which produces the smallest crown height and the largest crown radius.

Conjugate natural convection of non-Newtonian hybrid nanofluid in wavy-shaped enclosure

S. HUSSAIN, T. TAYEBI, T. ARMAGHANI, A. M. RASHAD, H. A. NABWEY

2022, 43(3):  447-466.  doi:10.1007/s10483-022-2837-6

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The present study concerns the modelization and numerical simulation for the heat and flow exchange characteristics in a novel configuration saturated with a non-Newtonian Ag-MgO hybrid nanofluid. The wavy shaped enclosure is equipped with one-quarter of a conducting solid cylinder. The system of equations resulting from the math-ematical modeling of the physical problem in its dimensionless form is discretized via the higher-order Galerkin-based finite element method (GFEM). The dependency of various factors and their interrelationships affecting the hydro-thermal behavior and heat exchange rate are delineated. The numerical experiments reveal that the best heat transfer rate is achieved for the pseudo-plastic hybrid nanoliquid with high Rayleigh number and thermal conductivity ratio and low Hartmann number. Besides, the power-law index has a major effect in deteriorating the heat convection at high Rayleigh number.