Structural similitudes for the vibration characteristics of concave thin-walled conical shell

• Published in: Thin-walled structures 2021-02, Vol.159, p.107218, Article 107218
• Main Authors: He, Fengxia, Luo, Zhong, Li, Lei, Zhang, Yongqiang, Guo, Siwei
• Format: Article
• Language: English
• Subjects: Aero-engine; Concave conical shell; Least square method; Scaling laws; Vibration characteristics
• ISSN: 0263-8231; 1879-3223
• DOI: 10.1016/j.tws.2020.107218

A structural similitude is proposed for the analysis of the vibration characteristics of concave thin-walled conical shell. The similitude laws are derived by invoking the least square method and transition models with different proportional input parameters. Analytical calculations show that satisfactory similitude in terms of natural frequency scaling can be achieved. Based on the analytical study, a series of modal tests is performed on the three-scaled thin-walled conical shell to verify the scaling laws. Emphasis is especially predicting and verifying the vibration characteristics of concave conical shell through the standard thin-walled conical shell to avoid manufacturing limitations. •Structural similitude can be derived without governing equation for concave conical shell.•The geometrically complete scaling law and distorted scaling law are established and verified numerically.•Predicting the vibration characteristics of concave conical shell through the standard thin-walled conical shell.•Modal tests are performed on three-scaled thin-walled conical shell to verify the scaling laws.