检索结果-南通市图书馆

中国力学学会学术大会'2005

作者：周燕国陈云敏丁皓江 Department of Civil Engineering Zhejiang University

The present work applies the improved levinson beam theory (LBT), which includes shear deformation and warping of the cross-section, to static and dynamic bending analysis of rectangular piezoelectric beams. Compared with Timoshenko beam theory (TBT), the LBT allows the cross-section both to rotate relative to the neutral axis and to warp into a non-planar surface, with the warping specified by satisfying the shear-free conditions on the lateral surfaces of the beam. Thus this theory is self-contained and no arbitrary shear coefficient (k) is required.

关键词： piezoelectric levinson beam theory Timoshenko beam theory shear coefficient boundary condition

来源： cnki会议评论

在线全文

cnki会议

学校读者我要写书评

暂无评论

Homogenized and classical expressions for static bending solutions for functionally graded material levinson beams

引用

Applied Mathematics and Mechanics(English Edition) 2015年第7期36卷 895-910页

作者： Shirong LI Zeqing WAN Xuan WANG School of Civil Science and Engineering Yangzhou University School of Hydraulic Energy and Power EngineeringYangzhou University

The exact relationship between the bending solutions of functionally graded material （FGM） beams based on the levinson beam theory and those of the correspond- ing homogenous beams based on the classical beam theory is presented for the material properties of the FGM beams changing continuously in the thickness direction. The de- flection, the rotational angle, the bending moment, and the shear force of FGM levinson beams （FGMLBs） are given analytically in terms of the deflection of the reference ho- mogenous Euler-Bernoulli beams （HEBBs） with the same loading, geometry, and end supports. Consequently, the solution of the bending of non-homogenous levinson beams can be simplified to the calculation of transition coefficients, which can be easily deter- mined by variation of the gradient of material properties and the geometry of beams. This is because the classical beam theory solutions of homogenous beams can be eas- ily determined or are available in the textbook of material strength under a variety of boundary conditions. As examples, for different end constraints, particular solutions are given for the FGMLBs under specified loadings to illustrate validity of this approach. These analytical solutions can be used as benchmarks to check numerical results in the investigation of static bending of FGM beams based on higher-order shear deformation theories.

关键词： functionally graded material (FGM) beam levinson beam theory Euler-Bernoulli beam theory (EBBT) bending solution

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

CLASSICAL AND HOMOGENIZED EXPRESSIONS FOR BUCKLING SOLUTIONS OF FUNCTIONALLY GRADED MATERIAL levinson beamS

引用

Acta Mechanica Solida Sinica 2015年第5期28卷 592-604页

作者： Shirong Li Xuan Wang Zeqing Wan Department of Civil Engineering Yangzhou University

The relationship between the critical buckling loads of functionally graded material （FGM） levinson beams （LBs） and those of the corresponding homogeneous Euler-Bernoulli beams （HEBBs） is investigated. Properties of the beam are assumed to vary continuously in the depth direction. The governing equations of the FGM beam are derived based on the levinson beam theory, in which a quadratic variation of the transverse shear strain through the depth is included. By eliminating the axial displacement as well as the rotational angle in the governing equations, an ordinary differential equation in terms of the deflection of the FGM LBs is derived, the form of which is the same as that of HEBBs except for the definition of the load parameter. By solving the eigenvalue problem of ordinary differential equations under different boundary conditions clamped （C）, simply-supported （S）, roller （R） and free （F） edges combined, a uniform analytical formulation of buckling loads of FGM LBs with S-S, C-C, C-F, C-R and S-R edges is presented for those of HEBBs with the same boundary conditions. For the C-S beam the above-mentioned equation does not hold. Instead, a transcendental equation is derived to find the critical buckling load for the FGM LB which is similar to that for HEBB with the same ends. The significance of this work lies in that the solution of the critical buckling load of a FGM LB can be reduced to that of the HEBB and calculation of three constants whose values only depend upon the through- the-depth gradient of the material properties and the geometry of the beam. So, a homogeneous and classical expression for the buckling solution of FGM LBs is accomplished.

关键词： FCM beam levinson beam theory buckling critical load Euler-Bernoulli beam

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

欢迎您,

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

请选择保存的检索档案：

请选择收藏分类：

通借通还

欢迎您,

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：