This paper highlights a research into the vibrations of shallow non-continuous shells with the added mass.The study involves the theoretical analysis of the theory of vibrations of a cylindrical open shell and curved battens;the calculation of the shell made based on the general equation of a shell vibration, as well as with the use of equations derived by Donnell, Mushtariand Vlasov;and description of the analytical relationship between the frequency of a shell vibration and the value of the added mass of a cylindrical open shells and a curved batten.The research reveals the discrepancy between the results for different approaches—a discrepancy which increases with increasing of the added mass, resulting in the necessity for more extensive experimental research in order to develop models describing the vibrations of open shells with small curvature close to the battens, taking into account the added mass.The need a-rises for inserting proposed models into the calculations of shallow shells of adequate safety margins to en-sure the stability of buildings and structures.%为研究附加质量的浅非连续壳的振动问题,对弯曲板条和圆柱形开壳的振动进行理论分析.根据壳体振动的一般方程及Mushtariand Vlasov方程,对壳体进行计算,分析壳体振动频率与圆柱壳和弯曲板条附加质量值之间的解析关系.结果表明,不同方法所得结果是不同的,差异随附加质量的增加而增大,需构建多种模型,在考虑附加质量的同时描述小曲率接近板条开壳的振动.该模型应用于有足够安全余量的浅壳计算,可确保建筑物和结构的稳定性.
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