There have been a large amount of scientific articles, including Randomized Controlled Trials, published on Vibration therapy in general and it is beyond the scope of this website to provide a comprehensive review.  However, the following are solid references that provide a review of the physiologic basis of vibration therapy as well as the safety and effectiveness with regard to medical and sports medicine applications.
1)      Vibration Exercise:  The Potential Benefits.  D.J.Cochrane,  Int J.Sports Med.  2011:32:75-99.
2)      Motor Effects of Vibratory Stimuli in Man.  In:  Muscular Afferent and Motor Control, Hagbarth, K.E.  Stockholm.  Almqvist and Wikesell, pp. 177-186, 1965.  Hagbarth coins the term “Tonic Vibration Reflex”.
3)      Naito, E. J. Neurophysiol. Vol. 83: pp. 1701-1709, 2000.
4)      Acute Physiologic Effects of Exhaustive Whole body Vibration Exercise in Man.  Rittweger, J. Clinical Physiology.  20:2 pp. 134-142, 2000.
5)      Vibratory Stimulation:  Possible Applications of Vibration Treatment of Motor Dysfunctions.  Bishop, B.  Physical Therapy  Vol 55, No.2, Feb 1975
6)      The Muscle Vibrator:  A Useful Tool in Neurologic Therapeutic Work.  Hagbarth, K.E.  Scand J. Rehab Med.  1: 26-34, 1969.  First to introduce Vibration Therapy to physical therapists.  Demonstrated effectiveness in Cerebral Palsy and disorders of spastic hemiplegia.
7)      Analgesic Effects of Vibration and Transcutaneous Electrical Nerve Stimulation Applied Separately and Simultaneously to Patients with Chronic Pain.  R. Guieu et. al. Le Journal Canadien Des Sciences Neurologues.  Vol 18, No. 2, pp 113-119.  1991.
8)      Long Term Results of Vibratory Stimulation as a Pain Relieving Measure for Chronic Pain.  T. Lundeberg.  Pain.   Vol 20. pp 13-23, 1984.
9)      Effects of Whole – Body Vibration in Patients with Multiple Sclerosis.  Clinical Rehabilitation.  Schuhfried, O. 2005:  19; 834-842.  Double blind RCT.
Effects of WBV in Patients with COPD.  Respir Med, 2012.  106 (1) pp 75-83.