摘要

In order to investigate the non-linear vibration behaviour of a real steam turbine blade coupled by shrouded dampers, a new three-dimensional friction contact model is proposed to solve the non-linear friction force imposed on the contact interfaces. The proposed model is an extension of the work of Sanliturk and Ewins, in which the motion along the normal direction of the contact interfaces is considered. To consider microslip effect, an array of spring-slider contact pairs is distributed on the contact interfaces. Additionally, by altering the number of contact pairs, the effect of the area of contact interfaces on the forced response of the shrouded blade can be studied. Furthermore, the difference between static friction coefficient and dynamic friction coefficient is considered in this model. The adaptability of this model to any complicated relative motion is very well; hence it can be used to optimize real blade dampers in turbine machine applications. By using the multi-harmonic balance method, the governing non-linear differential equations of the shrouded blade are transformed into a set of non-linear algebraic equations that can be solved iteratively to yield the forced response of the shrouded blade.