Mechanoreceptors are physiological units that convert mechanical stimuli to neural responses. An important one in the skin is the Pacinian corpuscle, which consists of a nerve ending surrounded by a capsule that is made up of alternating layers of fluid and elastic shells. In this paper a capsule model is coupled to a model for the dendrite via a variable representing the hoop strain imposed by the capsule on the receptor membrane of the dendrite. The transient behavior of the receptor potential due to step and periodic displacement-type stimuli imposed on the outer membrane of the capsule is investigated, and the results are compared to those of analogous experiments. The model is used to develop hypotheses concerning the role of the capsule as a filter for mechanical stimuli.