Strength and stability of shells based on Booth lemniscate loaded with external pressure

• Published in: Thin-walled structures Vol. 144; p. 106284
• Main Authors: Sowiński, Krzysztof, Jasion, Paweł
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.11.2019
• Subjects: Buckling; Equilibrium path; Shell structure; Stabilization; Submersible; Shell structure; Stabilization; Buckling; Equilibrium path; Submersible
• ISSN: 0263-8231; 1879-3223
• DOI: 10.1016/j.tws.2019.106284

Modern manufacturing processes and computational methods give the possibility to design shell structures with complex shapes. Such opportunity enables to use the structural advantages coming from their untypical geometries. In this paper the results of strength and stability analyses of a shell of revolution in the shape of Booth ovaloid are presented. The shell is proposed as an alternative for classical closed pressure hulls loaded with external pressure. The stress distribution along the meridian of the shell is provided as well as the buckling shapes, buckling loads and equilibrium paths. The influence of geometrical parameters of the lemniscate on the above mentioned results is discussed. The analysed shell is compared with the classical cylindrical pressure hulls as well as spherical shells, the advantages of the former are pointed out. Since the shape of the Booth lemniscate changes considerably depending on geometrical parameters it can be easily adopted to numerous applications. •Geometry of Booth ovaloids of constant volume is described.•Stress analysis is performed analytically using membrane theory and verified by FEM.•FEM study is conducted to investigate the buckling in linear and nonlinear manner.•Buckling stabilization phenomenon is presented.•Obtained results are compared to standard cylindrical and spherical pressure vessels.