Dynamic analyses, such as the determination of natural vibrations or the response spectrum analysis, are always performed on linear systems. To consider nonlinearities such as tension members in a dynamic analysis, a complex procedure is necessary. This procedure is described for the add-on modules Natural Vibrations and Equivalent Loads in this technical article.
However, you should consider whether this complex consideration is necessary for your system or whether the linearization is sufficient.
In the Nonlinear Time History add-on module, tension members are considered as usual. An example is described in this technical article.