Abstract: Traveling wave method and modal superposition method are used to study the coupled motion characteristics of plate and added ribs. According to the coupled continuity hypothesis of plate and rib, three kinds of coupling model, i.e., plate-additional mass model, plate-Euler beam model and plate-plate-Euler beam model, are established. The three coupling models correspond to blocking mass, flat steel and T-shaped plate, respectively. The dynamic response of finite plate is derived based on the traveling wave method. A self-compiled Matlab program is applied to calculate the vibratory response. The traveling wave method is verified to be an effective approach to calculate the coupled structure by comparing the numerical result of the finite element method with the calculated result of the traveling wave method. The coupling models with three different ribs are compared and analyzed. According coupled continuity assumption, the effect of structural rigidity on response is investigated. In low frequency range, the structural stiffness has less effect on dynamic response. As frequency increases, the impact of structural stiffness on dynamic response increases. The impacts of thickness and loss factor on vibration are analyzed. The results show that, with the increase in plate thickness, the modal number of plate is reduced. In the nearby regions of the resonant frequencies, the peaks of input power and transmission power are decreased with the increase in loss factor. The loss factor has less effect on the natural frequency of structure.

Key words: solid mechanics, travelling wave method, finite ribbed plate, power flow, blocking mass