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Dynamics of Coupled Structures, Volume 1 pp 37–49Cite as

Validation of Blocked-Force Transfer Path Analysis with Compensation for Test Bench Dynamics

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Abstract

This paper presents a validation of the Blocked-Force Transfer Path Analysis (BF-TPA) method that was proposed earlier in 2009 as the Gear Noise Propagation (GNP) method. The method allows to simulate the propagation of noise and vibrations generated by a system component to responses elsewhere in the system. The total systems FRFs are needed in combination with a measurement of the system’s component on a rigid test bench. Although the method is physically correct, a rigid test bench is hard to design up to higher frequencies. Therefore a compensation method for the test bench dynamics was derived. This paper validates the BF-TPA for a vehicle steering gear with and without compensation for its test bench dynamics. In order to be successful, a technique is introduced to obtain the required Rotational DoFs and Moments on both the component test bench measurement and total system FRFs.

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Notes

  1. 1.

    Short for Noise, Vibration and Harshness, a common designation for structural/acoustic vibration problems.

  2. 2.

    The BF-TPA method was previously proposed as the Component TPA [2] or Gear Noise Propagation (GNP) method [3].

  3. 3.

    The compensation for test bench dynamics was already proposed in the original publication [3] using an impedance notation.

  4. 4.

    The FRFs in Y A and Y B are measured on the separate components.

  5. 5.

    For more information on the expression of the compatibility condition using signed boolean matrices, the reader is referred to [4].

  6. 6.

    Note that additional excitations on the passive side can formally be included as well by defining f 3 and including it in the force vector in (4.3).

  7. 7.

    It can be verified that (4.6) can also be obtained by development of the LM-FBS notation \({\mathbf{Y}}^{\mathrm{AB}} = \mathbf{Y} -\mathbf{Y}{\mathbf{B}}^{T}{\left (\mathbf{B}\mathbf{Y}{\mathbf{B}}^{T}\right )}^{-1}\mathbf{B}\mathbf{Y}\).

  8. 8.

    The terms motion and loads are used when referred to the 6-DoF set of respectively displacements/rotations and forces/moments.

  9. 9.

    This only applies to FE models containing 6-DoF nodes. A major part of the finite elements consist of 3-DoF nodes.

  10. 10.

    Do note that the displacement vector does not necessarily have to contain virtual point transformed DoFs. As mentioned, the approximation in this section benefits from larger displacement sets and therefore the original sensor displacements are preferred here. However, this also requires the transfer path information (receptance Y) to the original sensor locations. When both the receptance and BF-TPA measurement are performed with the same set of mounted sensors, this gives no problems. In this particular case, the used receptance Y will only be virtual point transformed at the right side associated with the generalised forces/moments.

References

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Acknowledgements

This study was performed in close collaboration with the BMW Group, whom we greatly acknowledge for their support and organisation.

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Authors and Affiliations

  1. Faculty of Mechanical, Maritime and Materials Engineering, Department of Precision and Microsystems Engineering, Section Engineering Dynamics, Delft University of Technology, Mekelweg 2, 2628CD, Delft, The Netherlands

    D. D. van den Bosch, M. V. van der Seijs & D. de Klerk

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  1. D. D. van den Bosch
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  2. M. V. van der Seijs
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  3. D. de Klerk
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Corresponding author

Correspondence to D. D. van den Bosch .

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Editors and Affiliations

  1. Engineering Physics Department, University of Wisconsin Madison, Madison, Wisconsin, USA

    Matt Allen

  2. Sandia National Laboratories, Albuquerque, New Mexico, USA

    Randy Mayes

  3. Lehrstuhl fur Angewandte Mechanik, Technische Universitat Munchen, Garching, Germany

    Daniel Rixen

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© 2014 The Society for Experimental Mechanics, Inc.

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van den Bosch, D.D., van der Seijs, M.V., de Klerk, D. (2014). Validation of Blocked-Force Transfer Path Analysis with Compensation for Test Bench Dynamics. In: Allen, M., Mayes, R., Rixen, D. (eds) Dynamics of Coupled Structures, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-04501-6_4

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  • DOI: https://doi.org/10.1007/978-3-319-04501-6_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-04500-9

  • Online ISBN: 978-3-319-04501-6

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