Hubei Key Laboratory for Engineering Structural Analysis and Assessment

Wuhan, China

Hubei Key Laboratory for Engineering Structural Analysis and Assessment

Wuhan, China
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Dai H.L.,Hubei Key Laboratory for Engineering Structural Analysis and Assessment | Wang L.,Huazhong University of Science and Technology | Qian Q.,Hubei Key Laboratory for Engineering Structural Analysis and Assessment | Gan J.,Hubei Key Laboratory for Engineering Structural Analysis and Assessment
Applied Mathematics and Computation | Year: 2012

The application of transfer matrix method (TMM) to the vibration analysis of three-dimensional (3D) pipelines conveying fluid is performed in this paper. Based on the equations of motion, in which the steady combined force is essentially included, a 3D straight pipe element and a curved pipe element conveying fluid are formulated by introducing dynamic stiffness matrix in order to apply the TMM. The natural frequencies of simple pipe systems with straight or circular shape are calculated to demonstrate the validity of the proposed treatment. Using TMM, the natural frequencies, frequency response functions and instability of 3D-shaped pipeline systems are analyzed, representing some fresh results. It is shown that, in the application of TMM to the vibration analysis of curved or 3D pipelines conveying fluid, the steady combined force has to be included, otherwise the obtained results may be not reliable. © 2012 Elsevier Inc. All rights reserved.


Dai H.L.,Huazhong University of Science and Technology | Dai H.L.,Hubei Key Laboratory for Engineering Structural Analysis and Assessment | Wang L.,Huazhong University of Science and Technology | Wang L.,Hubei Key Laboratory for Engineering Structural Analysis and Assessment | And 2 more authors.
Microfluidics and Nanofluidics | Year: 2014

The purpose of this paper is to develop a theoretical model for predicting the dynamics and pull-in mechanism of electrostatically actuated microbeams containing internal fluid flow. By considering the effects of nonuniform profile of the flow velocity, material length scale parameter of the microbeam and nonlinear electrostatical force, the equation of motion of the microbeam has been presented. The lateral displacement of the microbeam consists of two parts: a static (steady) displacement and a perturbation displacement about the static. Based on the general differential quadrature rule, the static deflection of the microbeam is calculated numerically. The obtained static deflection is then used to solve the equation governing the perturbed displacement. The natural frequency and flow-induced instability of the microbeam are analyzed for both clamped–clamped and cantilevered boundary conditions. Results show that the internal fluid flow could dramatically affect the static deflection of the microbeam and hence the pull-in voltage. The electric voltage, on the other hand, would significantly influence the dynamics of the microbeam. © 2014, Springer-Verlag Berlin Heidelberg.


Wang L.,Huazhong University of Science and Technology | Wang L.,Hubei Key Laboratory for Engineering Structural Analysis and Assessment
Physica E: Low-Dimensional Systems and Nanostructures | Year: 2012

In this paper, the post-buckling behavior of supported nanobeams containing internal flowing fluid with two surface layers is studied based on a nonlinear theoretical model. The nonlinear governing equation, in which the surface effect and stretching-related nonlinearity are accounted for, is analytically solved for both clampedclamped and pinnedpinned systems. The effects of nanobeam length, bulk thickness and several dimensionless parameters on the post-buckling behavior are analyzed. It is found that, the nanobeam with low flow velocity is stable at its original static equilibrium position and then undergoes a buckling instability at a critical flow velocity, which depends on the system parameters. When buckled, in all cases, the amplitude of the resultant buckling increases with the increasing flow velocity. Typically, the surface effect is explored by considering different nanobeam lengths and bulk thicknesses. The buckling amplitude is found to be length-dependent and thickness-dependent, showing that the effect of surface layers is considerably strong. © 2011 Elsevier B.V. All rights reserved.


Dai H.L.,Huazhong University of Science and Technology | Dai H.L.,Hubei Key Laboratory for Engineering Structural Analysis and Assessment | Dai H.L.,Nanyang Technological University | Wang L.,Huazhong University of Science and Technology | And 4 more authors.
International Journal of Engineering Science | Year: 2015

A general nonlinear nonlocal model for supported nanotubes conveying fluid is developed. Considering the geometric nonlinearity associated with the mid-plane stretching of the nanotube, the extended Hamilton's principle is used to derive this general model based on Eringen's nonlocal elasticity theory. Analytical solutions for the nonlinear responses of the nanotube are obtained from the constructed nonlinear equation. It is shown that the presence of the nonlocal effect tends to decrease the critical flow velocity and increase the buckled static displacement of the nanotube. It is also demonstrated that the nonlocal effect has a significant impact on the pre- and post-buckling natural frequencies of the nanotube while the mass ratio mainly influences the post-buckling frequencies and the geometric nonlinearity term has no effect on these frequencies of the nanotube. © 2014 Elsevier Ltd. All rights reserved.

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