On the Vibrations of an Elastic Plate in Contact with Water
TLDR
In this paper, the pitch of the fundamental note of a thin circular plate or diaphragm of given material and dimensions, filling an aperture in a plane wall which is in contact on one side with an otherwise unlimited mass of water, was investigated.Abstract:
In connection with the problem of submarine signalling the question arose as to the pitch of the fundamental note of a thin circular plate or diaphragm of given material and dimensions, filling an aperture in a plane wall which is in contact on one side with an otherwise unlimited mass of water. The following investigation, which includes some extensions, is now published by permission. To simplify the theoretical treatment, the wall is supposed to be rigid, and the plate to be firmly clamped to it along the circumference, although these conditions are only imperfectly fulfilled in practice. Even with these limitations an exact solution is out of the question, but a sufficient approximation can be obtained by Rayleigh’s method of an assumed type, which gives good results if the type be suitably chosen. It is known that the frequency estimated in this way will be somewhat too high.read more
Citations
More filters
Journal ArticleDOI
Free vibration of an elastic bottom plate of a partially fluid-filled cylindrical container with an internal body
Ehsan Askari,Farhang Daneshmand +1 more
TL;DR: In this paper, an analytical method is developed to consider the free vibration of an elastic bottom plate of a partially fluid-filled cylindrical rigid container with an internal body, where the internal body is a rigid cylinder block that is concentrically and partially submerged inside the container.
Journal ArticleDOI
Free vibration analysis of non-rectangular plates in contact with bounded fluid using element free Galerkin method
TL;DR: In this paper, the free vibration characteristics of a flexible non-rectangular bottom of a fluid-filled rectangular tank are investigated using a semi-analytical technique, where the fluid is assumed to be incompressible, inviscid and the effect of surface waves is ignored.
Journal ArticleDOI
Deterministic and random vibration analysis of fluid-contacting transversely isotropic magneto-electro-elastic plates
TL;DR: In this article, the free vibration, deterministic vibration and random vibration characteristics of transversely isotropic magneto-electro-elastic (MEE) rectangular plates in contact with fluid are investigated.
Journal ArticleDOI
Nonlocal surface energy effect on free vibration behavior of nanoplates submerged in incompressible fluid
Reza Ahmadi Arpanahi,Shahriar Hosseini-Hashemi,Sasan Rahmanian,Shahrokh Hosseini Hashemi,Ali Ahmadi-Savadkoohi +4 more
TL;DR: In this article, the free vibration characteristics of a nanoplate sinking in an incompressible fluid, so that the plate is in touch with the fluid from its upper surface, were investigated, and the nonlocal continuum theory together with Gurtin-Murdoch elasticity theory were employed to examine the influence of size-dependency and surface energy effect, respectively.
Proceedings ArticleDOI
Fluid Density Sensing Using PMUTs
TL;DR: In this paper, the authors presented a novel method of monitoring liquid condition by tracking density which may find application in various micro as well as macro systems based on transmission of ultrasound waves through liquids and employs Piezoelectric Micromachined Ultrasound Transducers (PMUTs) for actuation and reception.
Related Papers (5)
Free vibrations of circular plates coupled with liquids: revising the lamb problem
Marco Amabili,M.K. Kwak +1 more