Natural Frequencies of Axisymmetric Vibrations of Thin Hyperbolic Circular Plates with Clamped Edges
نویسندگان
چکیده
منابع مشابه
ffects of hydrogen self - stress in thin circular - plates with clamped edges *
A description of self-stress produced by hydrogen absorption into thin metallic circular-plates with clamped edges is presented. The plate deflects when the average hydrogen content exceeds a critical value, which depends mainly on the size of the plate, if no external load is applied; the plate distortion exhibits bistable characteristics, i.e. the deflection direction may be either upward or ...
متن کاملNatural Frequencies of Thin Rectangular Plates with Partial Intermediate Supports
−− In the present study, a methodology to find natural frequencies with arbitrary precision of thin rectangular plates on linear intermediate supports and mixed boundary conditions is presented. This means that the edges are total or partially supported, clamped or free, or any combination of these. The layout, number and place of linear intermediate supports are arbitrary, which allows for the...
متن کاملNonlinear vibrations of thin hyperelastic plates
Static deflection as well as free and forced nonlinear vibration of thin square plates made of hyperelastic materials are investigated. Two types of materials, namely rubber and soft biological tissues, are considered. The involved physical nonlinearities are described through the Neo-Hookean, Mooney-Rivlin, and Ogden hyperelastic laws; geometrical nonlinearities are modeled by the Novozhilov n...
متن کاملBuckling Analysis of Thin Functionally Graded Rectangular Plates with two Opposite Edges Simply Supported
In this article, an exact analytical solution for thermal buckling analysis of thin functionallygraded (FG) rectangular plates is presented. Based on the classical plate theory and using the principle ofminimum total potential energy, the stability equations are obtained. Since the material properties in FGmaterials are functions of the coordinates (specially the thickness), the stability equat...
متن کاملTransverse Vibration of Clamped and Simply Supported Circular Plates with an Eccentric Circular Perforation and Attached Concentrated Mass
In this investigation Rayleigh-Ritz variational method has been applied to determine the least natural frequency coefficient for the title problem. Classical plate theory assumptions have been used to calculate strain energy and kinetic energy. Coordinate functions are combination of polynomials which satisfy boundary conditions at the outer boundary and trigonometric terms. In the second part ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Applied Mechanics and Engineering
سال: 2017
ISSN: 2353-9003
DOI: 10.1515/ijame-2017-0028