Hardware in the loop based on dynamic substructuring was conceived to be a
hybrid numerical-experimental technique to simulate the non-linear behaviour of an emulated
structure. Its challenge is to ensure that both numerical and physical substructures interact in
real time by means of actuators –transfer systems-. With this objective in mind, the
development and implementation of partitioned real-time compatible Rosenbrock algorithms
are presented in this paper. In detail, we shortly introduce monolithic linearly implicit L-stable
algorithms with two stages; and in view of the analysis of complex emulated structures, we
present a novel interfield partitioned algorithm. Both the stability and accuracy properties of
the proposed algorithm are examined through analytical and numerical studies carried out on
Single-DoF model problems. Moreover, a novel test rig conceived to perform both linear and
nonlinear substructure tests is introduced, and tests on a two-DoF split-mass system are
illustrated. The drawbacks of this algorithm are underlined and improvements are introduced
on a companion solution procedure
