Plates and beams of asymmetric structure in thickness

21st International Scientific Conference on Advanced in Civil Engineering "Construction - The Formation of Living Environment"

土木建筑工程

Rogacheva, N.N.^1

Department of Applied Mathematics, National Research Moscow State University of Civil Engineering, Yaroslavskoe Shosse 26, Moscow

129337, Russia^1

关键词: Asymmetric structures;    Asymptotic method;    Bending problems;    Complete problems;    Gradient of properties;    Mathematical method;    Simplifying assumptions;    Stress strain state;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/365/4/042051/pdf
DOI  :  10.1088/1757-899X/365/4/042051

学科分类：土木及结构工程学

来源: IOP

【 摘 要 】

The theory of plates and beams of asymmetric structure in thickness is constructed. It is shown that, in general, the complete problem for this kind of a structure is not divided into a plane problem and a bending problem. Here stress-strain state of plates and beams of asymmetric structure in thickness is analyzed by the mathematical method without using any simplifying assumptions. Simple theories were obtained for practical applications by an asymptotic method. As examples, the dynamic problems for a two-layer beam and a plate with a gradient of properties in thickness were calculated.