TL;DR
This paper analytically evaluates the natural frequencies of cracked masonry beams under load, deriving explicit formulas and validating results with finite-element analysis to improve understanding of their dynamic behavior.
Contribution
It introduces explicit expressions for the fundamental frequency of cracked masonry beams considering external loads and deformations, validated through finite-element analysis.
Findings
Explicit formulas for natural frequencies under load
Validation of analytical results with finite-element analysis
Insights into the dynamic behavior of cracked masonry beams
Abstract
The present paper aims at analytically evaluating the natural frequencies of cracked slender masonry elements. The problem is dealt with in the framework of linear perturbation, and the small oscillations of the structure are studied under loaded conditions, after the equilibrium for permanent loads has been achieved. A masonry beam element made of masonry-like material is considered, and some explicit expressions of the beam's fundamental frequency as a function of the external loads and the amplitude of imposed deformations are derived. The analytical results are validated via finite-element analysis.
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