This article discusses a building-like structure composed of a flexible beam, a rigid beam, a support plate, and a motor fixture. The flexible beam causes significant vibration, which leads to user discomfort. This article proposes a solution to suppress the vibration by designing a performance constraint boundary to limit the vibration amplitude of the flexible beam in terms of transient and steady-state performance. The system model with uncertainties is approximated using radial basis function (RBF) neural networks. Fixed-time methods are employed to further reduce vibration and enhance convergence rate. To minimize communication load, an event-triggered mechanism is integrated into the controller design. The effectiveness of the controller is validated through simulation tests and real-world experiments conducted using the Quanser smart structure.