The modeling and simulation of smart structures and systems involves coupled field calculations which cause currently high computational costs. Especially time and frequency analyses of sensor or actuator constructions described by equation systems with 10,000 to several 100,000 degrees of freedom demand efficient design methods. A successful approach to solve this problem is to increase the abstraction in a model hierarchy by switching to macro models. In this paper the merits of multi-physics network models applied as macro models are discussed. The main advantage is the significant reduction of the degree of freedom and the transition from PDEs to ODEs. Steady state problems can be efficiently solved with algebraic equations in the complex domain. Another important aspect appreciated by design engineers is the structural graphical system representation offered by networks. Particularly, feedback mechanisms, e.g. from an acoustic subsystem into the mechanical subsystem, can be overviewed. Moreover, linear time-invariant (LTI) multi-physics networks allow the transformation of network elements from one physical domain into another domain. As a consequence transducers can be eliminated and thus the network be simplified. Besides this, passive LTI systems are reversible. This property is the basis of precise measurement techniques.
- Aerospace Division
Efficient Dynamic Modeling and Simulation of Smart Structures With (Equivalent) Circuits
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Marschner, U, Starke, E, & Pfeifer, G. "Efficient Dynamic Modeling and Simulation of Smart Structures With (Equivalent) Circuits." Proceedings of the ASME 2013 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. Volume 1: Development and Characterization of Multifunctional Materials; Modeling, Simulation and Control of Adaptive Systems; Integrated System Design and Implementation. Snowbird, Utah, USA. September 16–18, 2013. V001T03A040. ASME. https://doi.org/10.1115/SMASIS2013-3260
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