Natural Frequencies of Isotropic Rectangular Plates in Improved Accuracy
نویسندگان
چکیده
The objective of this paper is to present comprehensive lists accurate natural frequencies isotropic thin rectangular plates. For purpose, a simple yet very analytical approach described study the free vibration In numerical computations, convergence and comparison studies are conducted check accuracy solution demonstrate improvement solutions in results. Twenty-one tables then provided give lowest six frequency parameters for all possible combinations three typical edge conditions (clamped, simply supported edges). Each value given five significant figures non-Levy type problem (i.e., two opposite edges not supported) Levy problem. These results presented different aspect ratios same format past representative reference.
منابع مشابه
Accurate formula for determination of natural frequencies of FGM plates basing on frequencies of isotropic plates
The functionally graded materials (FGM) have many advantages especially in thermal environments, and in the recent years they have been used in many engineering applications. A FGM plate is an inhomogeneous composite made of two constituents (usually ceramic and metal), with both the composition and the material properties varying smoothly through the thickness of the plate. The FGM plate vibra...
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 کاملAnalysis of Thin Isotropic Rectangular and Circular Plates with Multiquadrics
Выполнен линейный расчет напряженно-деформированного состояния тонких пластин численным методом, базирующемся на использовании мультиквадратических радиальных базисных функций. Показано, что данный метод оказывается весьма гибким при расчетах объектов со сложной геометрией, поскольку не требует сеточного разбиения и нечувст вителен к их пространственным координатам. Полученные численные резуль...
متن کاملNatural frequencies of a functionally graded anisotropic rectangular plate
We use the first-order shear deformation theory (FSDT) coupled with the finite element method (FEM) to study free vibrations of a functionally graded (FG) anisotropic rectangular plate with the objective of maximizing one of its first five natural frequencies. The following edge conditions are considered: (i) all edges clamped, (ii) all edges simply supported, (iii) two opposite edges clamped a...
متن کاملNatural frequencies of functionally graded plates by a meshless method
We use the global collocation method, the first and the third-order shear deformation plate theories, the Mori–Tanaka technique to homogenize material properties, and approximate the trial solution with multiquadric radial basis functions to analyze free vibrations of functionally graded plates. Frequencies computed by the present method are found to agree well with those from the analytical so...
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: EPI international journal of engineering
سال: 2022
ISSN: ['2615-5109', '2621-0541']
DOI: https://doi.org/10.25042/epi-ije.022022.05