Journal ArticleDOI
Coupled vibration of a cantilever micro-beam submerged in a bounded incompressible fluid domain
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In this article, the free vibrations of a cantilever micro-beam submerged in a bounded frictionless and incompressible fluid cavity were investigated using Fourier-Bessel series expansion and linear potential theory.Abstract:
This paper investigates the free vibrations of a cantilever micro-beam submerged in a bounded frictionless and incompressible fluid cavity. Based on the Fourier–Bessel series expansion and using linear potential theory, an analytical method is proposed to analyze the eigenvalue problem, where the fluid effect emerges as an added mass. Wet beam vibration mode shapes together with the sloshing modes of the oscillating liquid are depicted. Moreover, effects of geometrical configuration and fluid density on the natural frequencies of the coupled system are evaluated. Results show that in spite of the high added mass values related to lower modes, presence of the fluid changes the higher modes more effectively.read more
Citations
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A mixed modal-differential quadrature method for free and forced vibration of beams in contact with fluid
S. A. Eftekhari,A. A. Jafari +1 more
TL;DR: In this paper, a simple and accurate mixed modal-differential quadrature formulation is proposed to study the dynamic behavior of beams in contact with fluid, both free and forced vibration problems are considered.
Journal ArticleDOI
The stability of a flexible cantilever in viscous channel flow
TL;DR: In this article, the authors employed a numerical model coupling the Navier-Stokes equations and a one-dimensional elastic beam model to determine the conditions leading to flutter instability of a slender flexible cantilever immersed in two-dimensional viscous channel flow for Reynolds numbers lower than 1000.
Journal ArticleDOI
Size-dependent hydroelastic vibration of FG microplates partially in contact with a fluid
TL;DR: In this article, a non-local Lam strain gradient theory is proposed to include small-scale effects, with the introduction of three higher-order material constants within the formulation, and the kinetic and potential energy are calculated for both of structure and interacting fluid, the Rayleigh-Ritz method is employed to determine the wet frequencies of the system.
Journal ArticleDOI
Free vibration of variable thickness FGM beam submerged in fluid
TL;DR: In this article, the free vibration of the variable thickness beam made of functionally graded materials (FGMs) which is submerged in fluid is studied. But the authors assume that material properties follow the power law distribution along the thickness direction.
Journal ArticleDOI
Multi-Field Coupled Dynamics for a Micro Beam
Lizhong Xu,Qing Yang +1 more
TL;DR: In this article, a multi-field coupled dynamics equation for a micro beam is proposed and the natural frequencies and amplitude-frequency relationship of the micro beam in the coupled fields are investigated.
References
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Journal ArticleDOI
Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope
TL;DR: In this article, a detailed theoretical analysis of the frequency response of a cantilever beam that is immersed in a viscous fluid and excited by an arbitrary driving force is presented.
Book
Principles and techniques of vibrations
TL;DR: The finite element method for the algebraic Eigenvalue problem of distributed-parameter systems was introduced in this article. But it is not suitable for the linear system theory of single-degree-of-freedom (SDF) systems.
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Micromechanical cantilever-based biosensors
TL;DR: In this paper, the authors summarize how cantilever-based sensors can be operated, and their working principle is presented in few selected biosensing experiments which have been performed recently in our groups in the study of biotin-streptavidin and antigen-antibody interactions, and specific surface charge development of organic molecules.
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Viscous drag measurements utilizing microfabricated cantilevers
TL;DR: In this paper, the influence of viscous drag forces on cantilevers was investigated using standard atomic force microscope (AFM) canilevers, and a single cantilever can be used to measure viscosities ranging from η=10−2 to 102 g/cm
Journal ArticleDOI
Elastic Vibration Characteristics of Cantilever Plates in Water
TL;DR: In this paper, the effect of the liquid free surface on the resonant frequency of a vertical surface peircing plate is highly dependent upon the relationship between the depth of immersion of the plate and the mode of vibration.