An energy-based vibration model for beam bridges with multiple constraints |
Huang, Shiping
(School of Civil Engineering and Transportation, South China University of Technology)
Zhang, Huijian (School of Civil Engineering and Transportation, South China University of Technology) Chen, Piaohua (School of Civil Engineering and Transportation, South China University of Technology) Zhu, Yazhi (Department of Structural Engineering, Tongji University) Zuazua, Enrique (Dynamics, Control and Numerics, Alexander von Humboldt-Professorship, Department of Data Science, Friedrich-Alexander-Universitat Erlangen-Nurnberg) |
1 | Vargas, D.E., Lemonge, A.C., Barbosa, H.J., Bernardino, H.S. (2019), "Differential evolution with the adaptive penalty method for structural multi-objective optimization", Optimiz. Eng., 20(1), 65-88. https://doi.org/10.1007/s11081-018-9395-4. DOI |
2 | Edwards, R.E. (2012), Fourier Series: A Modern Introduction, Springer Science & Business Media, Berlin, Germany. |
3 | Welch, P. (1967), "The use of fast fourier transform for the estimation of power spectra: A method based on time averaging over short, modified periodograms", IEEE Tran. Audio Electroacoust., 15(2), 70-73. https://doi.org/10.1109/tau.1967.1161901. DOI |
4 | Wilbur, J.B. (1948), Elementary Structural Analysis, McGraw-Hill International Book Company, New York, NY, USA. |
5 | Weaver Jr, W., Timoshenko, S.P. and Young, D.H. (1990), Vibration Problems in Engineering, John Wiley & Sons, Hoboken, NJ, USA. |
6 | Hughes, T.J. (2012), The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Courier Corporation, N Chelmsford, MA, USA. |
7 | Salawu, O.S. (1997), "Detection of structural damage through changes in frequency: A review", Eng. Struct., 19(9), 718-723. https://doi.org/10.1016/s0141-0296(96)00149-6. DOI |
8 | Dallard, P., Fitzpatrick, A., Flint, A., Le Bourva, S., Low, A., Ridsdill Smith, R. and Willford, M. (2001), "The london millennium footbridge", Struct. Eng., 79(22), 17-33. |
9 | Cooley, J.W., Lewis, P.A. and Welch, P.D. (1969), "The fast fourier transform and its applications", IEEE Tran. Edu., 12(1), 27-34. https://doi.org/10.1109/TE.1969.4320436. DOI |
10 | Antonini, M., Barlaud, M., Mathieu, P. and Daubechies, I. (1992), "Image coding using wavelet transform", IEEE Tran. Image Proc., 1(2), 205-220. https://doi.org/10.1109/83.136597. DOI |
11 | Zienkiewicz, O.C., Taylor, R.L., Nithiarasu, P. and Zhu, J. (1977), The Finite Element Method, McGraw-Hill, New York, NY, USA. |
12 | Saibel, E. (1944), "Vibration frequencies of continuous beams", J. Aeronaut. Sci., 11(1), 88-90. https://doi.org/10.2514/8.11101. DOI |
13 | Bertsekas, D.P. (2014), Constrained Optimization and Lagrange Multiplier Methods, Academic press, New York, NY, USA. |
14 | Culver, C. and Oestel, D. (1969), "Natural frequencies of multispan curved beams", J. Sound Vib., 10(3), 380-389. https://doi.org/10.1016/0022-460x(69)90216-8. DOI |
15 | Cook, R.D. (2007), Concepts and Applications of Finite Element Analysis, John Wiley & Sons, Hoboken, NJ, USA. |
16 | Memory, T., Thambiratnam, D. and Brameld, G. (1995), "Free vibration analysis of bridges", Eng. Struct., 17(10), 705-713. https://doi.org/10.1016/0141-0296(95)00037-8. DOI |
17 | Zhou, Y.J., Zhao, Y., Liu, J. and Jing, Y. (2021), "Unified calculation model for the longitudinal fundamental frequency of continuous rigid frame bridge", Struct. Eng. Mech., 77(3), 343-354. https://doi.org/10.12989/sem.2021.77.3.343. DOI |
18 | AASHTO, L. (2012), Aashto lrfd Bridge Design Specifications. American Association of State Highway and Transportation Officials, Washington, DC, USA. |
19 | Spencer Jr, B., Ruiz-Sandoval, M.E. and Kurata, N. (2004), "Smart sensing technology: Opportunities and challenges", Struct. Control Hlth. Monit., 11(4), 349-368. https://doi.org/10.1002/stc.48. DOI |
20 | El Gamal, A. and Eltoukhy, H. (2005), "Cmos image sensors", IEEE Circuit. Devic. Mag., 21(3), 6-20. https://doi.org/10.1109/mcd.2005.1438751. DOI |
21 | Yu, L.P. and Pan, B. (2017), "Single-camera high-speed stereo-digital image correlation for full-field vibration measurement", Mech. Syst. Signal Pr., 94, 374-383. http://doi.org/10.1016/j.ymssp.2017.03.008. DOI |
22 | Huang, N.E., Shen, Z., Long, S.R., Wu, M.C., Shih, H.H., Zheng, Q., Yen, N.C., Tung, C.C. and Liu, H.H. (1998), "The empirical mode decomposition and the hilbert spectrum for nonlinear and non-stationary time series analysis", Proc. Roy. Soc. London. Ser. A: Math. Phys. Eng. Sci., 454(1971), 903-995. https://doi.org/10.1098/rspa.1998.0193. DOI |
23 | Kolousek, V. (1941), "Anwendung des gesetzes der virtuellen verschiebungen und des reziprozitatssatzes in der stabwerksdynamik", Ingenieur-Archiv, 12(6), 363-370. https://doi.org/10.1007/bf02089894. DOI |
24 | Ryall, M.J., Hewson, N., Parke, G. and Harding, J. (2000), The Manual of Bridge Engineering, Thomas Telford, London, UK. |
25 | Jaeger, L.G. and Bakht, B. (1982), "The grillage analogy in bridge analysis", Can. J. Civil Eng., 9(2), 224-235. https://doi.org/10.1139/l82-025. DOI |
26 | Lu, P.Z., Zhang, J.P., Zhao, R.D. and Huang, H.Y. (2009), "Theoretical analysis of Y-shape bridge and application", Struct. Eng. Mech., 31(2), 137-152. https://doi.org/10.12989/sem.2009.31.2.137. DOI |
27 | Zhu, J., Wang, W., Huang, S. and Ding, W. (2020), "An improved calibration technique for mems accelerometer-based inclinometers", Sensor., 20(2), 452. https://doi.org/10.3390/s20020452. DOI |
28 | Parlett, B.N. (1998), The Symmetric Eigenvalue Problem. Siam, Philadelphia, PA, USA. |
29 | McCormac, J.C. and Elling, R.E. (1988), Structural Analysis: A Classical and Matrix Approach, Harper & Row, New York, NY, USA. |
30 | Huang, Y., Gan, Q., Huang, S. and Wang, R. (2018), "A dynamic finite element method for the estimation of cable tension", Struct. Eng. Mech., 68(4), 399-408. https://doi.org/10.12989/sem.2018.68.4.399. DOI |
31 | Humar, J. (2012), Dynamics of Structures, CRC Press, Boca Raton, FL, USA. |
32 | Sun, Y., Dai, S.C., Xu, D., Zhu, H.P. and Wang, X.M. (2020), "New extended grillage methods for the practical and precise modeling of concrete box-girder bridges", Adv. Struct. Eng., 23(6), 1179-1194. https://doi.org/10.1177/1369433219891559. DOI |
33 | Song, M.K. and Fujino, Y. (2008), "Dynamic analysis of guideway structures by considering ultra high-speed Maglev train-guideway interaction", Struct. Eng. Mech., 29(4), 355-380. https://doi.org/10.12989/sem.2008.29.4.355. DOI |
34 | Zeng, Z.P., He, X.F., Zhao, Y.G., et al. (2015), "Random vibration analysis of train-slab track-bridge coupling system under earthquakes", Struct. Eng. Mech., 54(5), 1017-1044. https://doi.org/10.12989/sem.2015.54.5.1017. DOI |