Advanced spacecraft and space stations are designed to remain in space for a prolonged period of time. In some cases, the structure of these vehicles can be excited by modulation of the internally pressurized media and externally exposed to space vacuum. In other cases, the structure is immersed in vacuum and excited externally by the impingement of the control jets. In either case, atmospheric damping is absent from the side of the structure exposed to vacuum. This problem is investigated theoretically and experimentally in terms of three types of specimen structural panels: aluminum, viscoelastic, and honeycomb. With one side of the panels in near vacuum, sonic excitation was applied to the other side. This excitation consisted of (1) constant-amplitude sinusoid, (2) random-amplitude sinusoid, (3) constant amplitude but random frequency, and (4) random amplitude and frequency. These forcing functions simulate the sonic excitation induced by various sources, such as equipment noise, multiple spacecraft dockings, micrometeor shower, space-station repair work, control jets, etc. The methods considered for controlling these sonic-induced vibrations include the altering of resonances response due to mass coupling, and the attenuation of response due to viscoelastic and aquaplus damping. The relative damping efficiency of treatments embracing different areas of the aquaplus coating was also investigated. The effects of hysteresis and air-damping on a panel of arbitrary curvature can be expressed in a generalized mathematical equation.