两种不同边界条件下多孔FG夹层锥形壳的振动分析

IF 2.2 4区 工程技术 Q2 ENGINEERING, CIVIL Structural Engineering and Mechanics Pub Date : 2021-01-01 DOI:10.12989/SEM.2021.79.4.401
M. Rahmani, Y. Mohammadi
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引用次数: 2

摘要

本文基于改进的高阶夹层壳理论,研究了两类多孔FG截锥夹层壳在不同边界条件下的振动特性。在幂律规则中考虑了两种类型的孔隙度来模拟FGM的性质。在第一种类型中,FG面片覆盖均匀芯,在第二种类型中,FG芯被均匀面片覆盖。所有的材料都与温度有关。利用Hamilton能量原理,利用层内的非线性von Karman应变,并考虑岩心和工作面的面内应力和热应力,得到了控制方程。采用伽辽金法求解了具有夹-夹、无夹和自由-自由边界条件的方程。为了验证计算结果,利用有限元软件对部分计算结果进行了验证。此外,还研究了一些几何参数、温度变化和孔隙率的影响。随着长厚比、温度、半顶角和半径厚比的增加,基频参数在所有边界条件下都减小。在两种孔隙度分布的夹层中,随着孔隙体积分数的增加,基频参数也随之增加。在热条件下,ii型的频率变化小于i型。夹固-夹固边界条件(CC)和无夹固边界条件(C-F)的基频分别具有最大值和最小值。
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Vibration of two types of porous FG sandwich conical shellwith different boundary conditions
In this paper, in various boundary conditions, the vibration behavior of the two types of porous FG truncated conical sandwich shells is investigated based on the improved high order sandwich shells theory. Two types of porosity are considered in the power law rule to model the FGM properties. In the first type, FG face sheets cover a homogeneous core, and in the second one, the FG core is covered by the homogeneous face sheets. All materials are temperature dependent. By utilizing the Hamilton's energy principle, using the nonlinear von Karman strains in the layers and considering the in-plane stresses and thermal stresses in the core and the face sheets, the governing equations are obtained. A Galerkin method is used to solve the equations with clamped-clamped, clamped-free, and free-free boundary conditions. To validate the results, a FEM software is used and some results are validated with the results in the literatures. Also, Some geometrical parameters, temperature variations and porosity effects are studied. By increasing the length to thickness ratio, temperature, the semi-vertex angle and the radius to thickness ratio, the fundamental frequency parameter decreases in all boundary conditions. In both types of sandwiches for both porosity distributions, by increasing the porosity volume fraction, the fundamental frequency parameters increase. Frequency variation of type-II is lower than type-I in the thermal conditions. And the fundamental frequencies of the clamped-clamped (CC) and clamped-free (C-F) boundary conditions have the highest and lowest values, respectively.
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来源期刊
Structural Engineering and Mechanics
Structural Engineering and Mechanics 工程技术-工程:机械
CiteScore
3.80
自引率
18.20%
发文量
0
审稿时长
11 months
期刊介绍: The STRUCTURAL ENGINEERING AND MECHANICS, An International Journal, aims at: providing a major publication channel for structural engineering, wider distribution at more affordable subscription rates; faster reviewing and publication for manuscripts submitted; and a broad scope for wider participation. The main subject of the Journal is structural engineering concerned with aspects of mechanics. Areas covered by the Journal include: - Structural Mechanics - Design of Civil, Building and Mechanical Structures - Structural Optimization and Controls - Structural Safety and Reliability - New Structural Materials and Applications - Effects of Wind, Earthquake and Wave Loadings on Structures - Fluid-Structure and Soil-Structure Interactions - AI Application and Expert Systems in Structural Engineering. Submission of papers from practicing engineers is particularly encouraged.
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