Osteoporosis is characterized by low bone mass and structural deterioration of bone tissue, leading to an increased risk of fracture. High frequency, low amplitude vibrational loading can maintain or increase trabecular bone volume, making it a potentially useful treatment for osteoporosis. In this dissertation, we first examined the osteogenic effect of whole-body vibration (WBV) in mice. We observed a significant increase in trabecular bone volume at the proximal tibia in some loading groups;​ however WBV is limited in studies using mice because it is highly dependent on posture. To address this limitation we developed constrained tibial vibration (CTV) as a method for controlled vibrational loading of mice. We performed a series of experiments to model the vibrational behavior of a mouse leg in CTV involving the quantification of transmissibility using accelerometers, simulation of CTV loading using a finite element model, and direct measurement of tibial bone strain using strain gages. The results from these modeling studies were used to determine parameters for an in vivo loading study using CTV. This study examined the osteogenic effect of CTV loading with respect to changes in loading frequency, dynamic bone strain, and weight bearing. CTV will be used by our lab in future in vivo studies, and may become an important tool to complement WBV and advance understanding of the mechanisms behind the response of bone to vibration.