The ability of tuning the dynamic response of a structure, such as its performance in terms of noise and vibration control to be so that it fits the working conditions of the systems, is a challenging objective. Due to the limitations of practical conventional solutions and the impossibility of producing significant changes of the main structural features, innovative materials and design strategies have been introduced. Accordingly, looking for non-conventional materials, to satisfy control performance requirements, has been the main task during the past years. The application of fiber-reinforced laminated composite materials to various engineering structures, such as aircraft, marine and space structures, has increased significantly in recent years because of their inherent highly specific stiffness and strength. Shape memory alloys (SMA’s) are a type of smart materials with shape recovery effect. The unique ability of changing material properties andexcellent damping properties make SMA’s useful for vibration tuning of structures. The governing mechanism for the behavior of SMAs is the reversible transformation process between martensite and austenite. It can be initiated by a change in temperature and/or by a change in stress.In this study, the constitutive relations of SMA’s are combined with elastic properties of the beam to derive governing differential equations. The constitutive equations used for SMA’s are capable of predicting both stress induced and temperature induced martensite fractions for a better modeling of the SMA’s various behaviors. In this dissertation, the influence of embedding SMA wires in a fixed beam on the natural frequencies of the beam for different boundary conditions and in the presence of recovery stress generated by pre-strained wires is investigated. Also,the dynamic behavior of a rotating beam with embedded shape memory alloy wires is analyzed, and the efficacy of applying shape memory alloy wires in the middle is investigated.In this thesis, the non-linear vibration analysis of a beam with embedded SMA wires is performed to investigate the effect of these functional materials on the dynamic behavior of the beam. The wires are embedded in the neutral layer of the beam. Since a linear theory does not consider mid-plane stretching, the non-linear analysis should be employed to model some phenomena including damping effects that are diagnosed by other researchers. Bye the use of non-linear considerations, although there is no distinct damping term in the governing equation, the results show a decrease in the vibration amplitude. This decrease has been observed in the existing experimental findings; however, a linear analysis cannot predict it. This decrease is due to the phase transformation of the SMA wires in high temperatures that makes a hysteretic loop. Key Words Shape Memory Alloy, Beam, Vibration