Eigenvectors method in mechanics of solids one-dimensional linear boundary problems solution

11th International Conference on "Mesh methods for boundary-value problems and applications"

Korovaytseva, E.A.^1

Institute of Mechanics, Lomonosov Moscow State University, Leninskie Gory 1, Moscow

119991, Russia^1

关键词: Analytical forms;    Boundary problems;    Eigenvectors method;    Integral matrices;    Mechanics of solids;    Small displacement;    Stress strain state;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/158/1/012057/pdf
DOI  :  10.1088/1757-899X/158/1/012057

来源: IOP

【 摘 要 】

Problems of deformed elements stress-strain state analysis for small displacements, angles of rotation and deformations are considered. Eigenvectors method is suggested for solution of corresponding linear boundary problems. The method is based on lattice functions theory and differential equations theory, allowing to obtain analytical form of integral matrices. One of the modifications of the suggested method allows obtaining solution with the precision equal to computer zero. An example illustrating advantages of eigenvectors method is represented.