  The trace of a Markov process is the time changed process of the original
process on the support of the Revuz measure used in the time change. In this
paper, we will concentrate on the reflecting Brownian motions on certain closed
strips. On one hand, we will formulate the concrete expression of the Dirichlet
forms associated with the traces of such reflecting Brownian motions on the
boundary. On the other hand, the limits of these traces as the distance between
the upper and lower boundaries tends to $0$ or $\infty$ will be further
obtained.
