The current disclosure is directed to personal vibration appliances, operated either by battery power or wall power, that incorporate a linear-vibration module to generate vibration with frequencies below 40 Hz, between 40 Hz and 110 Hz, and above 110 Hz with forces up to and beyond 15 g. In certain implementations, the frequency and force of vibration may be independently controlled. In certain implementations, the vibrational frequency and/or vibrational power may be correlated to various additional signals, both internal and external, including audio sound signals, light signals, and audiovisual signals. In certain implementations, the vibration appliance features an interchangeable massage piston with interchangeable massage tips and other accessories. Finally, operational characteristics of the personal vibration appliances may be modified by various types of sensor and other feedback signals.