The article is devoted to the modal analysis of frameless arch structures based on lightweight gauge steel structures (LGSS). The relevance of the study is due to the need to take into account dynamic effects when calculating the load-bearing capacity. Dynamic loads are a crucial factor affecting the stress-strain state of arch structures. The paper presents theoretical studies of the influence of the main geometrical parameters of the arch structure made of cold-formed thin-walled steel profiles on the first eigenfrequency. The dependences between the dimensions of arched structures and eigenfrequencies are obtained. It is proved that to determine the load-bearing capacity of frameless arch structures with the span L > 12 m, it is necessary to determine the eigenfrequencies of vibrations of the structure.

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