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Novel Approach for Structural Dynamic Topology Optimizations Based on Power Flow Mode Theory

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Vibration Engineering and Technology of Machinery

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 23))

Abstract

The generalized damping based power flow mode theory [1] reveals natural power flow behaviours of a dynamic system based on the inherent characteristics of the system’s damping distribution, which provides insight into energy dissipation mechanisms of the dynamic system. In this paper, a new Power Flow Mode dynamic Topology OPtimization (PFMTOP) approach is proposed based on the developed power flow mode theory to achieve topologically optimised systems’ damping material distributions with enhanced vibration suppression capability. Conventional method of topology optimization focuses on minimizing the structural frequency response or dynamic compliance without considering structural damping. The new approach developed herein uses the trace of system’s characteristic damping matrix as design objective to find an optimal damping material layout that maximize the energy dissipation for a given volume of the material to achieve minimum power flow response. Topology optimal design of damping distributions of two-phase structures subject to dynamic loading is studied. Example presented demonstrates the applicability and efficiency of the new PFMTOP approach. The obtained results reveal that the proposed approach can significantly enhance vibration energy dissipation and provides an effective method for optimised systems’ damping material distributions with enhanced vibration suppression capability and reduced material usages. This new method can be readily extended to more complex structures to optimize the topology of damping material layer for improved vibrational power flow control.

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Acknowledgments

Financial support by EPSRC Shaping Capacity Award and Southampton Marine and Maritime Institute (SMMI) are gratefully acknowledged.

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Authors and Affiliations

  1. Fluid-Structure Interaction Research Group, Faculty of Engineering and the Environment, Boldrewood Campus, University of Southampton, Southampton, SO16 7QF, UK

    Ye-Ping Xiong

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  1. Ye-Ping Xiong
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Correspondence to Ye-Ping Xiong .

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Editors and Affiliations

  1. School of Mechanical, Aerospace and Civil Engineering (MACE), The University of Manchester, Manchester, United Kingdom

    Jyoti K. Sinha

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Xiong, YP. (2015). Novel Approach for Structural Dynamic Topology Optimizations Based on Power Flow Mode Theory. In: Sinha, J. (eds) Vibration Engineering and Technology of Machinery. Mechanisms and Machine Science, vol 23. Springer, Cham. https://doi.org/10.1007/978-3-319-09918-7_94

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  • DOI: https://doi.org/10.1007/978-3-319-09918-7_94

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09917-0

  • Online ISBN: 978-3-319-09918-7

  • eBook Packages: EngineeringEngineering (R0)

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