This is just a small sample of research papers done on whole body vibration machines.

1. Bruyere, O., et al. "Controlled Whole Body Vibrations Improve Health Related Quality of Life in Elderly Patients." Research article abstract.
2. Bruce, Robert Douglas, III. "The Problem of Bone Loss During Space Flight and the Need for More Effective Treatments to Make a Mission to Mars Safer." May 28, 2002. Literature Review.
3. Barry, Patrick L. "Good Vibrations: A New Treatment Under Study by NASA-funded Doctors Could Reverse Bone Loss Experienced by Astronauts in Space." Science @ NASA Web site, Nov. 2, 2001.
4. Dr. Yami Arad, Chiropractor & Chinese Medicine (ISR). "New Trend in Fitness, Wellness and Healing." An article by a chiropractor using WBV therapy for his clients.
5. Price, Kelly. Article in the Nashville Medical News. "MS and WBV: A Promising Combination." October 2006.
6. Bosco, C., et al. "New Trends in Training Science: The Use of Vibrations for Enhancing Performance." New Studies in Athletics, Vol. 14, No.4, 1999, pg.55-62.
7. Gilsanz, Vicente, Tishya AL Wren, Monique Sanchez, Frederick Dorey, Stefan Judex, and Clinton Rubin. "Low-Level, High-Frequency Mechanical Signals Enhance Musculoskeletal Development of Young Women With Low BMD." Journal of Bone and Mineral Research. Vol. 21, No. 9, 2006.
8. Verschueren, S., M. Roelants, C. Delecluse, S. Swinnen, D. Vanderschueren and S. Boonen. "Effect of 6-Month Whole Body Vibration Training on Hip Density, Muscle Strength, and Postural Control in Postmenopausal Women: A Randomized Controlled Pilot Study." Journal of Bone and Mineral Research, Vol. 19, March 2004, pg. 352-359.
9. Van Nes, Ilse J.W., et al. "Short-Term Effects of Whole-Body Vibration on Postural Control in Unilateral Chronic Stroke Patients: Preliminary Evidence." Abstract from the American Journal of Physical Medicine and Rehabilitation, Vol. 83, No. 11, Nov. 2004, pg. 867-873.
10. Lenhardt, M.L., et al. "Use of High-Frequency and Muscle Vibration in the Treatment of Tinnitus." International Tinnitus Journal, 2003, Vol. 9, No. 1, pg. 32-36.
11. Rittweger, J., et al. "Oxygen Uptake in Whole Body Vibration Exercise: Influence of Vibration Frequency, Amplitude and External Load." International Journal of Sports Medicine, Vol. 23, 2002, pg. 428-432. [abstract]
12. Good Vibrations Vibration Machine - Colorado Gazette
13. A new treatment under study by NASA - NASA
14. 'Whole Body Vibration' For Muscle Development - NBC Florida
15. Vibration Training in Professional Football Video – NBC
16. Sensation-Whole Body Vibration - ABC Chicago
17. Wobble to Wellbeing Vibration Platform- The Sydney Morning Herald
18. Vibration Exercise and Resistance Training Prevent Bone Mineral Loss - American Society for Bone and Mineral Research  
19. Barry, Patrick L. Good Vibrations: A New Treatment Under Study by NASA-funded Doctors Could Reverse Bone Loss Experienced by Astronauts in Space." Science @ NASA Web site, Nov. 2, 2001.
20. Turbanski S, Haas CT, Schmidtbleicher D, Friedrich A, Duisberg P. "Effects of random whole-body vibration on postural control in Parkinson's disease." Research in Sports Medicine, 2005, Jul - Sep, Vol. 13, No. 3, pg. 243-56.
21. Schießl, H., J. Willnecker. "New Insights about the Relationship between Bone Strength and Muscle Strength." Paper abstract.
22. Cardinale, M. "The Effects of Vibration on Human Performance and Hormonal Profile." Doctoral thesis, Semmelweis University, 2002.
23. Rubin, Clinton, Stefan Judex, Yi-Xian Qin. "Low-level mechanical signals and their potential as a non-pharmacological intervention for osteoporosis." Age and Ageing. 2006; 35-S2: ii32–ii36.

Many more research papers can be found on the internet.