Effective Response Modifications of Non-Proportionally Damped Resonating Structures

Abstract:

The structural resonance properties of damped structures can be exploited to obtain a required dynamic response with relatively low input power requirements. Practical applications often demand temporary modifications of this response. This paper presents a systematic approach to modify the response of harmonically driven, non-proportionally damped resonating structures using local structural property changes and excitation adjustments. The complex response is written in polar form (i.e., modulus and argument) to enhance insights. Sensitivity analysis is used to approximate the influence of the control variables on the response. A projection is proposed to determine the locations at which a specific structural change scores maximum effect to reach the desired response modifications. The introduced response normalization separates amplitude and shape modifications in a clear way. This work shows response modifications of non-proportionally damped resonating structures due to control variables in an intuitive manner.

• Periodical: Applied Mechanics and Materials (Volume 704)
• Pages: 143-147
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.704.143
• Online since: December 2014
• Authors: Hugo J. Peters*, Paolo Tiso, Johannes F.L. Goosen, Fred van Keulen
• Keywords: Local Structural Property Changes, Non-Proportional Damping, Polar Representation, Response Modifications, Structural Resonance

References

[1] S. Calmes, P. Schweizer and P. Renaud. Resonating Large Angle And Low Consumption Micromachined Optical Scanner. In: Proceedings of SPIE – The International Society for Optical Engineering (1998).

DOI: 10.1117/12.302413

[2] C.T. Bolsman, J.F.L. Goosen and F. van Keulen. Design Overview of a Resonant Wing Actuation Mechanism for Application in Flapping Wing MAVs. International Journal of Micro Air Vehicles (2009) 1(4): 263-272.

DOI: 10.1260/175682909790291500

[3] M. Géradin and D. Rixen. Mechanical Vibrations: Theory and Applications to Structural Dynamics. John Wiley, 2nd edition, 1999. ISBN: 9780471975243.

[4] I. -W. Lee, D. -O. Kim and G. -H. Jung. Natural Frequency and Mode Shape Sensitivities of Damped Systems: Part I, Distinct Natural Frequencies. Journal of Sound and Vibration (1999) 223(3): 399-412.

DOI: 10.1006/jsvi.1998.2129

[5] H.J. Peters, J.F.L. Goosen, P. Tiso and F. van Keulen. Control of Harmonically Driven Resonating Compliant Structures using Local Structural Modifications. In: ECCOMAS Multibody Dynamics (2013).

DOI: 10.7712/120113.4757.c1253