Affiliation:
1. Irkutsk National Research Technical University
2. Irkutsk State Transport University
Abstract
The possibilities and efficiency of the use of the harmonic element method (HEM) for the determination of frequency characteristics for structures subjected to intensive dynamic effects are considered. This method allows the necessary values of frequencies for structural natural vibrations to be obtained by including the longitudinal forces influencing the bending vibrations of beam elements in the parameters of harmonic elements. Therefore, it is possible to adjust the frequencies of natural vibrations, whose variation within known limits offers the vibration or seismic protection of the structure, along with an assessment of its stability limits. The method considers beams with distributed inertial masses, concentrated masses, and solid bodies as harmonic elements, which allows the dynamic models of structures carrying technological equipment to be created. This approach avoids the need for constructing discretized models, which entail the estimation of discretization errors and various computational challenges. In the case of reinforced concrete structures, the necessary longitudinal forces can be generated by prestressing the reinforcement.
Publisher
Irkutsk National Research Technical University
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