Quality Factor of Free In-plane Vibration of a Fully Clamped Rectangular Micro-plate
نویسندگان
چکیده مقاله:
Thermo-elastic damping is a significant dissipation mechanism in high quality factor microstructures. In this paper, thermo-elastic damping of the in-plane vibration of fully clamped rectangular micro-plates has been studied. The governing equation of the micro-plate motion and heat conduction equation were derived. Then, The Galerkin method has been used to solve the coupled heat-displacement equations. Eventually, considering the micro-plate of various materials, the effects of geometrical parameters including the length and width of micro-plate and also ambient temperature on the thermo-elastic damping quality factor have been investigated.
منابع مشابه
Free Vibration of a Generalized Plane Frame
This article deals with the free in-plane vibration analysis of a frame with four arbitrary inclined members by differential transform method. Based on four differential equations and sixteen boundary and compatibility conditions, the related structural eigenvalue problem will be analytically formulated. The frequency parameters and mode shapes of the frame will be calculated for various values...
متن کاملA CLAMPED RECTANGULAR PLATE CONTAINING A CRACK by *
In this paper the general problem of a rectangular plate clamped along two parallel sides and containing a crack parallel to the clamps is considered. The problem is formulated in terms of a system of singular integral equations and the asymptotic behavior of the stress state near the corners is investigated. Numerical examples are considered for a clamped plate without a crack and with a centr...
متن کاملFree in-plane vibration of heterogeneous nanoplates using Ritz method
In this paper, the Ritz method has been employed to analyze the free in-plane vibration of heterogeneous (non-uniform) rectangular nanoplates corresponding to Eringen’s nonlocal elasticity theory. The non-uniformity is taken into account using combinations of linear and quadratic forms in the thickness, material density and Young’s modulus. Two-dimensional boundary characteristic orthogonal pol...
متن کاملA hybrid finite element method to compute the free vibration frequencies of a clamped plate
An " assumed stresses " hybnd method is studied to provide (external) approximations to the plate vibration problem, variationaîly formulated on some space which is orthogonal to all selfequilibrating stresses Convergence results and error estimâtes are denved by a Rayleigh pnnciple Resumé — On utilise une méthode d'éléments finis « hybrides duaux » pour approcher le problème des vibrations lib...
متن کاملVibration analysis of a rectangular composite plate in contact with fluid
In this paper, modal analysis of the fluid-structure interaction has been investigated. Using classical laminated plate theory, a closed form solution for natural frequencies of FSI is extracted. For fluid, homogenous, inviscid and irrotational fluid flow is assumed. Then, a combined governing equation for the plate-fluid system is derived. In order to validate the equations and results, they a...
متن کاملA generalized solution procedure for in-plane free vibration of rectangular plates and annular sectorial plates
A generalized solution procedure is developed for in-plane free vibration of rectangular and annular sectorial plates with general boundary conditions. For the annular sectorial plate, the introduction of a logarithmic radial variable simplifies the basic theory and the expression of the total energy. The coordinates, geometric parameters and potential energy for the two different shapes are or...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ذخیره در منابع من قبلا به منابع من ذحیره شده{@ msg_add @}
عنوان ژورنال
دوره 31 شماره 1
صفحات 96- 103
تاریخ انتشار 2018-01-01
با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023