Abstract
In this study, a quadrupole model for solving the conductive transfer in a one-dimensional periodic contact is presented. The modeling is achieved through Fourier series development of periodically time-varying variables. This method could be used for predicting the thermal behavior of the contact under any periodic condition. In the case of intermittent contact, the solution of the model presents an harmonic oscillation and a Gibbs' phenomenon at the discontinuities of the contact conductance due to the imperfection of Fourier series in describing discontinuous functions. On the other hand, this model presents a very fast convergence when the conductance varies continuously. Finally, an experiment of intermittent contact (contact–separation) is performed and the results are compared with the theoretical solutions. A good agreement is found when the dimensionless periods are greater than 1. For the periods less than 1, the experiment does not correspond perfectly to the assumptions of the model, and the corrections should be introduced.
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