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

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.