The present study explores both structural and controller design to attenuate vibration in large membrane structures especially due to low-frequency harmonic excitations. It is very difficult for membrane structures to suppress the low-frequency vibration induced by flexible support structures, because a lightly pre-stressed membrane has extremely low mode frequencies and little damping effect. The present study proposes the use of web-like perimeter cables around a membrane, and the application of simple and lightweight active controllers only along the web cables. This strategy successfully suppresses the membrane vibration when the web-cable configuration is appropriately tailored. Both linear and nonlinear finite-element analyses exhibit a clear tradeoff between structural mass and control efficiency.

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