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Journal ArticleDOI

A note on vibration of a cantilever plate immersed in water

08 Apr 1979-Journal of Sound and Vibration (Academic Press)-Vol. 63, Iss: 3, pp 385-391
TL;DR: In this article, the first few mode shapes and the respective natural frequencies of a submerged cantilever plate are found by using a finite element procedure, eigenvalues being obtained by a simultaneous iteration technique.
About: This article is published in Journal of Sound and Vibration.The article was published on 1979-04-08. It has received 32 citations till now. The article focuses on the topics: Cantilever & Added mass.
Citations
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Journal ArticleDOI
TL;DR: In this article, the structural integrity of the 330MWt SMART this article assembly against earthquake was investigated. And the authors concluded that the iPWR assembly was designed with sufficient seismic safety margins, which can avoid a long calculation time and reduce the data storage volume.

3 citations

Dissertation
28 Feb 2013
TL;DR: The first steps towards a comprehensive theoretical model of stress induction on a nanocantilever operation are reported, focusing on elucidating the chemical and geometric nature of experimentally observed responses to Vancomycin.
Abstract: Antibiotic resistance is a rapidly emerging global health problem as year on year more drugs are rendered ineffective and fewer new antibiotics developed to meet the demand. This is exemplified by Vancomycin, the `antibiotic of last resort' for decades, now facing growing resistance among bacteria. Interest around modifying existing drugs to improve their antibiotic action and stabilise them against resistance is raising the need for detailed understanding of the modes of action of antibiotics. Nanocantilevers provide a complementary method for exploring both the binding process and the mechanical mode of action by which Vancomycin and its derivatives weaken and destroy bacterial cell wall. When functionalised with monolayers of peptides analogous to cell wall precursors the cantilevers measure the build up of surface stresses in-plane, on a surface, representative of the antibacterial interactions in-situ. This thesis reports the first steps towards a comprehensive theoretical model of stress induction on a nanocantilever, focusing on elucidating the chemical and geometric nature of experimentally observed responses to Vancomycin. The chemical origins of stress generation are explored within, using a monolayer of decanethiol as a model system and looking at contributions from both adsorbate-adsorbate and adsorbate-substrate interactions. How those individual molecular contributions combine across the cantilever to produce the eventual deflection is investigated by varying the coverage of Vancomycin binding events across an appropriately functionalised cantilever, using an interaction potential extrapolated from molecular dynamics simulations and a lattice model developed in this thesis to return the corresponding stress and deflection. The elastic response of the beam itself is also examined in some detail, as is the effect of the operating medium on the cantilever's action. All findings provide the first steps to a truly representative, and quantitatively predictive, model of nanocantilever operation and insight into the technology's unique merit in the race to discover a new generation of antibiotics.

2 citations


Cites background from "A note on vibration of a cantilever..."

  • ...there are no viscous forces on the beam [190, 191, 192, 193, 194, 195]....

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Journal ArticleDOI
TL;DR: In this article, a finite element formulation is developed for determining the vibration characteristics of beams in contact with inviscid incompressible fluid, and the classical, first-order and third-order shear deformation beam theories are used to model the structural response.
Abstract: The physical interaction of fluids and solids is of practical significance in engineering (e.g. flutter of aerodynamic structures, vortex induced vibrations of sub-sea pipelines and risers, inflatable dams, parachute dynamics and blood flow through arteries). In this paper, a finite element formulation is developed for determining the vibration characteristics of beams in contact with inviscid incompressible fluid. The classical, first-order and third-order shear deformation beam theories are used to model the structural response. Numerical results for vibration frequencies are presented showing the parametric effect of thickness and immersion depth on the frequency response. The results indicate that the presence of fluid interaction has significant effect on the dynamic response. The formulation presented herein is also applicable to a vast number of vibration problems related to beams under a variety of excitations.

2 citations

Journal ArticleDOI
TL;DR: In this article, experiments and simulations are designed to analyze the influence of submergence level and sidewall clearance on the vibration characteristics of a guide vane-like structure, while the position of the node line (NL) demonstrates a slight shift.
Abstract: Knowledge of the modal parameters of the guide vane is essential for evaluating the operating stability of pump-turbines. In the present investigation, experiments and simulations are designed to analyze the influence of submergence level and sidewall clearance on the vibration characteristics of a guide vane-like structure. The results show that the type of mode shape remains unchanged at different submergence levels, while the position of the node line (NL) demonstrates a slight shift. According to the angle of the NL and the free surface, the mode types are divided into parallel NL, vertical NL and slanted NL modes. The added mass tends to increase with increasing submergence levels, while the slope of added mass in conjunction with the submergence level, is dependent on the mode type. In particular, in relation to the parallel NL mode, the slope is almost zero, if the free surface is close to the NL region; with regard to the slanted NL mode, the slope in the NL region is significant smaller than that outside this region; in the case of the vertical NL mode, the slope remains approximately constant. The damping ratio increases with increasing submergence level for the vertical NL mode. While the damping ratios for the parallel and slanted NL modes are decreased, if the free surface is close to the NL regions. In addition, as the side wall clearance increases, both the added mass and damping ratio tend to decrease.

1 citations

References
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Book
01 Jan 1971
TL;DR: In this paper, the authors describe how people search numerous times for their favorite books like this the finite element method in engineering science, but end up in malicious downloads, and instead they cope with some infectious bugs inside their computer.
Abstract: Thank you very much for downloading the finite element method in engineering science. Maybe you have knowledge that, people have search numerous times for their favorite books like this the finite element method in engineering science, but end up in malicious downloads. Rather than enjoying a good book with a cup of tea in the afternoon, instead they cope with some infectious bugs inside their computer.

3,688 citations

Book
01 Jan 1969
TL;DR: The fundamental equation of classical plate theory can be found in this article, where anisotropic and variable-thickness versions of the classical plates are considered, as well as other considerations.
Abstract: : Contents: Fundamental Equations of Classical Plate Theory; Circular Plates; Elliptical Plates; Rectangular Plates; Parallelogram Plates; Other Quadrilateral Plates; Triangular Plates; Plates of Other Shapes; Anisotropic Plates; Plates With Inplane Forces; Plates With Variable Thickness; and Other Considerations.

2,137 citations

Journal ArticleDOI
TL;DR: In this paper, the simultaneous iteration method of obtaining eigenvalues and eigenvectors is employed for the solution of undamped vibration problems, and a method of allowing for body freedom is given and some numerical tests are discussed.
Abstract: The simultaneous iteration method of obtaining eigenvalues and eigenvectors is employed for the solution of undamped vibration problems. This method is of significance when a few of the dominant eigenvalues and eigenvectors are required from a large matrix, and hence is particularly suitable for vibration problems involving a large number of degrees of freedom. It is shown that advantage may be taken of both the symmetry and the band form of the mass and stiffness matrices, thus making it feasible to process on a computer larger order vibration problems than can be processed using transformation methods. A method of allowing for body freedom is given and some numerical tests are discussed.

69 citations

Book
01 Jan 1961

42 citations

Journal ArticleDOI
TL;DR: In this paper, the equations for the free undamped vibration of a structure in an ideal incompressible fluid medium and their finite element formulation are briefly reviewed and the relevant matrices (stiffness and loading) for two prismatic fluid elements are given explicitly and some numerical results are presented.
Abstract: The equations for the free undamped vibration of a structure in an ideal incompressible fluid medium and their finite element formulation are briefly reviewed. The relevant matrices (stiffness and loading) for two prismatic fluid elements are given explicitly and some numerical results are presented.

18 citations