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Keywords: railway mechanics, contact problem, wave generation, oscillations, wavelet-based approximation.

Summary

In a number of previous papers devoted to the dynamics of periodical structures under a moving force, various types of oscillations were studied. The dynamic behaviour of uniform structures under a moving force was considered [1]. In this paper, several cases of dynamic problems are studied, where the motion is driven by a concentrated force moving with a constant speed along one-dimensional periodic structures. The common factor of these problems is the appearance of "stopping" and "passing bands" phenomena [2]: excitations with certain frequencies propagate through the whole periodic structure, while others have only a localized effect near the moving source. A high number of periodic cells of the structure need to be studied. Therefore one should find analytical tools that allow a reduction of the numerical computations.

One of approaches proposed for a dynamic analysis of beam-foundation structures is a wavelet-based method using a coiflet expansion of the response. This computationally efficient tool can be used for the estimation of displacements and leads to formulas allowing an effective parametric analysis [3]. It allows the omission of numerical integration and provides the possibility of a more detailed discussion [4,5].

For periodic structures, first a single beam supported by a viscoelastic Winkler foundation is analysed. The beam is subjected to a moving and oscillating concentrated force with a constant velocity [6]. The explanation of why the proper solution was not obtained in the paper [1] is provided. The case of a moving distributed load acting on the Rayleigh beam and the Timoshenko beam shows a specific feature that was not described in [7].

References

1: P.M. Mathews, "Vibration of beam on elastic foundation", Z. angew. Math. u. Mech., 38, 105-115, 1958. doi:10.1002/zamm.19580380305
2: R. Bogacz, T. Krzyzynski, K. Popp, "Wave propagation in two dynamically coupled periodic systems", in D. Besdo, R. Bogacz, (Editors), Proc. International Symposium on Dynamics of Continua, Shaker Verlag, 55-64, 1998.
3: P. Koziol, "Wavelet approach for the vibratory analysis of beam-soil structures: dynamically loaded systems", VDM Verlag Dr. Müller, Saarbrucken, 2010.
4: P. Koziol, C. Mares, I. Esat, "Wavelet approach to vibratory analysis of surface due to a load moving in the layer", International Journal of Solids and Structures, 45, 2140-2159, 2008. doi:10.1016/j.ijsolstr.2007.11.008
5: P. Koziol, C. Mares, "Wavelet approach for vibration analysis of fast moving load on a viscoelastic medium", Shock and Vibration, 17(4-5), 461-472, 2010.
6: R. Bogacz, T. Krzyzynski, K. Popp, "On generalization of Mathews' problem of the vibration of a beam on elastic foundation", Z. angew. Math. Mech., 69, 243-252, 1989. doi:10.1002/zamm.19890690804
7: I.D. Achenbach, C.T. Sun, "Moving load on flexibly supported Timoshenko beam", Int. J. Solid and Structures, 1, 353-370, 1965. doi:10.1016/0020-7683(65)90001-6

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 98 PROCEEDINGS OF THE FIRST INTERNATIONAL CONFERENCE ON RAILWAY TECHNOLOGY: RESEARCH, DEVELOPMENT AND MAINTENANCE Edited by: J. Pombo Paper 116 An Analysis of the Dynamic Effects of Periodic Structures subject to a Moving Load R. Bogacz¹, T. Krzyzynski² and P. Koziol³ ¹Faculty of Civil Engineering, Cracow University of Technology, Poland ²Institute of Mechatronics, Nanotechnology and Vacuum Technique, ³Department of Civil and Environmental Engineering, Koszalin University of Technology, Poland doi:10.4203/ccp.98.116 purchase the full-text of this paper Full Bibliographic Reference for this paper R. Bogacz, T. Krzyzynski, P. Koziol, "An Analysis of the Dynamic Effects of Periodic Structures subject to a Moving Load", in J. Pombo, (Editor), "Proceedings of the First International Conference on Railway Technology: Research, Development and Maintenance", Civil-Comp Press, Stirlingshire, UK, Paper 116, 2012. doi:10.4203/ccp.98.116 Keywords: railway mechanics, contact problem, wave generation, oscillations, wavelet-based approximation. Summary In a number of previous papers devoted to the dynamics of periodical structures under a moving force, various types of oscillations were studied. The dynamic behaviour of uniform structures under a moving force was considered [1]. In this paper, several cases of dynamic problems are studied, where the motion is driven by a concentrated force moving with a constant speed along one-dimensional periodic structures. The common factor of these problems is the appearance of "stopping" and "passing bands" phenomena [2]: excitations with certain frequencies propagate through the whole periodic structure, while others have only a localized effect near the moving source. A high number of periodic cells of the structure need to be studied. Therefore one should find analytical tools that allow a reduction of the numerical computations. One of approaches proposed for a dynamic analysis of beam-foundation structures is a wavelet-based method using a coiflet expansion of the response. This computationally efficient tool can be used for the estimation of displacements and leads to formulas allowing an effective parametric analysis [3]. It allows the omission of numerical integration and provides the possibility of a more detailed discussion [4,5]. For periodic structures, first a single beam supported by a viscoelastic Winkler foundation is analysed. The beam is subjected to a moving and oscillating concentrated force with a constant velocity [6]. The explanation of why the proper solution was not obtained in the paper [1] is provided. The case of a moving distributed load acting on the Rayleigh beam and the Timoshenko beam shows a specific feature that was not described in [7]. References 1 P.M. Mathews, "Vibration of beam on elastic foundation", Z. angew. Math. u. Mech., 38, 105-115, 1958. doi:10.1002/zamm.19580380305 2 R. Bogacz, T. Krzyzynski, K. Popp, "Wave propagation in two dynamically coupled periodic systems", in D. Besdo, R. Bogacz, (Editors), Proc. International Symposium on Dynamics of Continua, Shaker Verlag, 55-64, 1998. 3 P. Koziol, "Wavelet approach for the vibratory analysis of beam-soil structures: dynamically loaded systems", VDM Verlag Dr. Müller, Saarbrucken, 2010. 4 P. Koziol, C. Mares, I. Esat, "Wavelet approach to vibratory analysis of surface due to a load moving in the layer", International Journal of Solids and Structures, 45, 2140-2159, 2008. doi:10.1016/j.ijsolstr.2007.11.008 5 P. Koziol, C. Mares, "Wavelet approach for vibration analysis of fast moving load on a viscoelastic medium", Shock and Vibration, 17(4-5), 461-472, 2010. 6 R. Bogacz, T. Krzyzynski, K. Popp, "On generalization of Mathews' problem of the vibration of a beam on elastic foundation", Z. angew. Math. Mech., 69, 243-252, 1989. doi:10.1002/zamm.19890690804 7 I.D. Achenbach, C.T. Sun, "Moving load on flexibly supported Timoshenko beam", Int. J. Solid and Structures, 1, 353-370, 1965. doi:10.1016/0020-7683(65)90001-6 purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £110 +P&P)
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