摘要

Structures with large span are widely used in recent years, they are sensitive to wind load. How to consider air-space structures coupled vibration is a difficult problem. Here vibrations of three-dimensional spherical structures under incompressible /compressible air were analyzed with the assumption that on their boundary there was a simple harmonic vibration. Combined with a specific physical model, the theoretical solutions to two cases were derived, the theoretical results were discussed. It was shown that with incompressible air assumption, the surface pressures main components of structures are direct proportion to the vibration acceleration and the curvature radius of structures, the action force of air flow field on structures is equivalent to additional mass;for compressible air condition, the surface pressures of structures are direct proportion to vibration velocity and they are not related to the configuration of structures, the action force of air flow field on structures is equivalent to a viscous damping. Finally, numerical simulations were performed to verify the theoretical solutions.

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