Abstract
Antenna structures used in electronic warfare, radar, naval, satellite, spacecraft systems encounter mechanical shock from various sources such as near miss under water explosion, pyrotechnic and ballistic shocks. Since most of the antenna structure has larger dimension in longitudinal direction and experience high frequency, high amplitude shock energy, geometric nonlinearity become crucial to predict dynamic behavior in real life. In this study, the antenna structure is modeled by Euler-Bernoulli beam theory including geometrical nonlinearity. The resulting partial differential equations of motion are converted into a set of nonlinear ordinary differential equations by using Galerkin’s Method, which are solved by Newmark. The results for the linear system obtained from time integration and approximate methods such as Absolute Method, Naval Research Method, and Shock Response Spectrum Method (SRS) are compared to the nonlinear ones. Moreover, these results are compared with the ones obtained from commercial Finite Element software.
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References
Internet Live Stats: Number of Internet Users (2014) - Internet Live Stats, 2014. [Online]. Available: http://www.internetlivestats.com/internet-users/. Accessed 01 Jun 2015
Wikipedia, F.: List of countries by number of mobile phones in use. Notes, 2011. [Online]. Available: https://en.wikipedia.org/wiki/List_of_countries_by_number_of_mobile_phones_in_use. Accessed 01 Jun 2015
Poisel, R.A.: Antenna Systems and Electronic Warfare Applications. Artech House, Norwood (2012)
Huang Y., Boyle, K.: Antennas: From Theory to Practice, First Edit. John Willey and Sons Ltd (2008)
Alexander, J.E.: Shock response spectrum – a primer. Sound Vib. (June), 6–14 (2009)
Lalanne, C.: Mechanical Shock: Mechanical Vibration and Shock Analysis, vol. 2. John Willey and Sons Ltd (2009)
Department of Defense Test Method Standard Environmental Engineering Considerations and Laboratory Tests, 2008
Eriksson, J., Kropp, W.: Measuring and Analysis of Pyrotechnic Shock. Chalmers University of Technology (1999)
Reddy, M.C.S., Hussain, J.: Structural analysis of dipoloop antenna radome for airborne applications. Int. J. Eng. Res. Technol. 4(03), 724–735 (2015)
Lopatin, A.V., Morozov, E.V.: Modal analysis of the thin-walled composite spoke of an umbrella-type deployable space antenna. Compos. Struct. 88(1), 46–55 (2009)
Su, H.: Structural Analysis of Ka-Band gimbaled antennas. COM DEV Ltd, Ontario, p. 15
Sreekantamurthy, T., Mann, T., Behun, V., Pearson, J.C., Scarborough, S., Engineer, A., Aerospace, S.: Nonlinear structural analysis methodology and dynamics scaling of inflatable parabolic reflector antenna concepts. Am. Inst. Aeronaut. Astronaut. (April), 1–15 (2007)
Younis, M.I., Alsaleem, F.M., Miles, R., Su, Q.: Characterization of the performance of capacitive switches activated by mechanical shock. J. Micromech. Microeng. 17(7), 1360–1370 (2007)
Li, G.X., Shemansky, F.a.: Drop test and analysis on micro-machined structures. Sens. Actuators, A Phys. 85(1), 280–286 (2000)
Younis, M.I., Miles, R., Jordy, D.: Investigation of the response of microstructures under the combined effect of mechanical shock and electrostatic forces. J. Micromech. Microeng. 16(11), 2463–2474 (2006)
Younis, M.I., Arafat, H.N.: Investigation of the effect of nonlinearities on the response of cantilever microbeams under mechanical shock and electrostatic loading. Soc. Exp. Mech., 5–10 (2008)
Younis, M.I., Alsaleem, F., Jordy, D.: The response of clamped-clamped microbeams under mechanical shock. Int. J. Non-Linear Mech. 42(4), 643–657 (2007)
Liang, C., Yang, M., Tai, Y.: Prediction of shock response for a quadrupod-mast using response spectrum analysis method. Ocean Eng. 29(8), 887–914 (2002)
Alexander, J.E.: Nonlinear system mode superposition given a prescribed shock response spectrum input. In: Proc. Int. Modal Anal. Conf. - IMAC, no. 3, pp. 346–355 (2002)
Younis, M.I., Jordy, D., Pitarresi, J.M.: Computationally efficient approaches to simulate the dynamics of microbeams under mechanical shock. In: IMECE 2006 2006 ASME Int. Mech. Eng. Conf. Expo., vol. 16, no. 3, pp. 628–638 (2006)
Erturk, A., Inman, D.J.: On mechanical modeling of cantilevered piezoelectric vibration energy harvesters. J. Intell. Mater. Syst. Struct. 19(11), 1311–1325 (2008)
Thomson, W.T., Dahleh, M.D.: Theory of Vibration and Applications, Fifth Edit. Pearson Education (1998)
Irvine, T.: Bending frequencies of beams, rods, and pipes. Available on the web on site: http://www.vibrationdata.com, pp. 1–61 (2012)
Majkut, L.: Free and forced vibrations of Timoshenko beams described by single difference equation. J. Theor. Appl. Mech. 47(1), 193–210 (2009)
Younis, M.I.: MEMS Linear and Nonlinear Statics and Dynamics. Springer (2011)
Yee, J.K., Yang, H.H., Judy, J.W.: Shock resistance of ferromagnetic micromechanical magnetometers. Sens. Actuators, A Phys. 103(1–2), 242–252 (2003)
Gatti, P.L., Ferrari, V.: Applied Structural and Mechanical Vibrations, First Edit. Taylor & Francis Group (1999)
ANSYS 15 Help Viewer, 2014
Abed, E.H., Lindsay, D., Hashlamoun, W.a.: Technical report on participation factors for linear systems. Automatica 36(10), 1489–1496 (1999)
Irvine, T.: Effective modal mass and modal participation factors. Vibrationdata (1), 1–36 (2013)
International Standard-IEC 60068-2-27. Basic Safety Publication, p. 80 (2008)
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Ozcelik, Y.E., Cigeroglu, E., Caliskan, M. (2016). Shock Response of an Antenna Structure Considering Geometric Nonlinearity. In: Kerschen, G. (eds) Nonlinear Dynamics, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-29739-2_6
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DOI: https://doi.org/10.1007/978-3-319-29739-2_6
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