Estimated closeness of optimum piecewise constant section width in I-rods with stability or first eigen-frequency limits to the predicted minimum material consumption with regard to strength requirements

Author:

Lyakhovich L. S.1,Akimov P. A.2,Tukhfatullin B. A.1

Affiliation:

1. Tomsk State University of Architecture and Building

2. Tomsk State University of Architecture and Building; The National Research Moscow State University of Civil Engineering; Russian Academy of Architecture and Construction Sciences

Abstract

The previous research described estimated closeness of optimum piecewise constant section width in I-rods with stability or first eigen-frequency limits to the predicted minimum material consumption with regard to strength requirements in continuous change in variable rod parameters. It is however known that in construction, rods are generally designed with piecewise constant change in the section parameters. Besides, in another work, the criterion was formulated for assessment of optimum solutions of piecewise constant sections of I-rods with stability or the first eigen-frequency limits, without considering the strength requirements. This paper focuses on a more general problem of estimated closeness of optimum piecewise constant section width in I-rods with stability or first eigen-frequency limits to the predicted minimum material consumption with regard to strength requirements.

Publisher

Tomsk State University of Architecture and Building

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