  Many complex mechatronic systems consist of multiple interconnected dynamical
subsystems, which are designed, developed, analyzed, and manufactured by
multiple independent teams. To support such a design approach, a modular model
framework is needed to reduce computational complexity and, at the same time,
enable multiple teams to develop and analyze the subsystems in parallel. In
such a modular framework, the subsystem models are typically interconnected by
means of a static interconnection structure. However, many complex dynamical
systems exhibit position-dependent behavior (e.g., induced by translating
interfaces) which cannot be not captured by such static interconnection models.
In this paper, a modular model framework is proposed, which allows to construct
an interconnected system model, which captures the position-dependent behavior
of systems with translating interfaces, such as linear guide rails, through a
position-dependent interconnection structure. Additionally, this framework
allows to apply model reduction on subsystem level, enabling a more effective
reduction approach, tailored to the specific requirements of each subsystem.
Furthermore, we show the effectiveness of this framework on an industrial wire
bonder. Here, we show that including a position-dependent model of the
interconnection structure 1) enables to accurately model the dynamics of a
system over the operating range of the system and, 2) modular model reduction
methods can be used to obtain a computationally efficient interconnected system
model with guaranteed accuracy specifications.
