Multiphysics-coupled vibration behavior of revolving shallow shells: temperature–humidity dependence and elastic boundary optimization

This study focuses on the vibration characteristics of resin-based composite shallow cylindrical shells under the combined action of temperature and humidity, as well as under elastic boundary constraints. Based on the first-order shear deformation theory, a dynamic model considering the thermal–hygrodynamic coupling effect was established. The elastic boundary was simulated using Chebyshev polynomial expansion and spring equivalent methods, thereby systematically analyzing the influence of material parameters and environmental changes on the natural frequencies of the structure. Experimental tests were conducted on carbon fiber–epoxy composite shells with specific layup structures and rotation angles. The predicted natural frequencies by the theory were in good agreement with the experimental results, verifying the reliability and engineering applicability of the model. This research has established a clear-structured and experimentally verified multi-physics field vibration analysis framework, providing an effective reference for the vibration prediction and structural design of composite material shells in complex environments.