Some features of frequency identification of axial load in beam specimens

A. A. Azarov^a, A. L. Popov^ab, D. A. Chelyubeev<sup>b

a</sup> Moscow State University of Civil Engineering
^b Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow

Abstract: The evaluation of forces and joint stiffness is important for the inspection of rod elements. The existing evaluation methods are divided into static and dynamic methods. The paper considers a method of dynamic evaluation of longitudinal force in a fixed rod based on its bending vibration spectrum by comparing the experimentally recorded vibration frequencies with the theoretical frequency spectrum obtained from the Timoshenko beam model. The basin-hopping algorithm is used to harmonize the results of the theoretical model with the set of experimental frequencies. The peculiarity of multidirectional variation of the natural frequencies of bending vibrations during rod stretching in the region of weakly nonlinear stress-deformation dependence is revealed.

Keywords: Timoshenko beam, longitudinal force, acoustic spectrum, basin hopping algorithm, experimental verification.

UDC: 539.3

Received: 01.08.2023
Accepted: 10.11.2023

DOI: 10.37972/chgpu.2023.57.3.007