Determination of eigenvalues in problems of loss of stability of compressed rods (Part II)

Abstract

The tasks of determining eigenvalues in the design of compressed rods in mechanical engineering and building structures and in their study in technical disciplines are among the most difficult. The existing methods for their solution are of a private nature and are unsuitable for the modern, more complex structures of the digital economy. In this paper, it is proposed to use computer technologies to significantly simplify the solution of complex problems of the stability of the rod and at the same time to achieve greater clarity and versatility with the proposed methods. Using specific examples, the application of the proposed analytical-graphic and numerical-graphic methods is shown. Mathematical models and decision algorithms are verified using computational experiments. Based on the results obtained, a number of practical conclusions were drawn. Part II is a continuation of Part I of the single article.