Browse > Article
http://dx.doi.org/10.12989/sem.2006.23.5.487

Analytical p-version finite elements and application in analyses of structural collision protection  

Zhu, B. (Department of Civil Engineering, Zhejiang University)
Chen, Y.M. (Department of Civil Engineering, Zhejiang University)
Leung, A.Y.T. (Department of Building and Construction, City University of Hong Kong)
Publication Information
Structural Engineering and Mechanics / v.23, no.5, 2006 , pp. 487-504 More about this Journal
Abstract
Several new versatile two-dimensional p-version finite elements are developed. The element matrices are integrated analytically to guarantee the accuracy and monotonic convergence of the predicted solutions of the proposed p-version elements. The analysis results show that the convergence rate of the present elements is very fast with respect to the number of additional Fourier or polynomial terms in shape functions, and their solutions are much more accurate than those of the linear finite elements for the same number of degrees of freedom. Additionally, the new p-version plate elements without the reduced integration can overcome the shear locking problem over the conventional h-version elements. Using the proposed p-version elements with fast convergent characteristic, the elasto-plastic impact of the structure attached with the absorber is simulated. Good agreement between the simulated and experimental results verifies the present p-version finite elements for the analyses of structural dynamic responses and the structural elasto-plastic impact. Further, using the elasto-plastic impact model and the p-version finite element method, the absorber of the T structure on the Qiantang River is designed for its collision protection.
Keywords
p-version finite elements; structures; impact; experimentation;
Citations & Related Records

Times Cited By Web Of Science : 3  (Related Records In Web of Science)
Times Cited By SCOPUS : 2
연도 인용수 순위
1 Irie, T., Yamada, G and Narita, Y. (1978), 'Free vibration of clamped polygonal plates', Bulletin of the JSME, 21, 1696-1702   DOI   ScienceOn
2 Bardell, N.S. (1991), 'Free vibration analysis of a flat plate using the hierarchical finite element method', J. Sound Vib., 151(2), 263-289   DOI   ScienceOn
3 Bardell, N.S. (1992), 'The free vibration of skew plates using the hierarchical finite element method', Comput. Struct., 45(5-6),841-874   DOI   ScienceOn
4 Beslin, O. and Nicolas, J. (1997), 'Hierarchical functions set for predicting very high order plate bending modes with any boundary conditions', J. Sound Vib., 202(5), 633-655   DOI   ScienceOn
5 Clough, R.W. and Penzien, J. (1993), Dynamics of Structures, 2nd Edition, McGraw-Hill, New York, U.S.A
6 Davalos, J.F., Qiao, P.Z., Xu, X.F., Robinson, J. and Barth, K.E. (2001), 'Modeling and characterization of fiberreinforced plastic honeycombsandwich panels for highway bridge applications', Comp. Struct., 52, 441-452   DOI   ScienceOn
7 Dalenbring, M. and Zdunek, A. (2005), 'On the use of three-dimensinal h- and p-version finite elements in solving vibration response problems', J. Sound Vib., 288, 907-929   DOI   ScienceOn
8 Houmat, A. (2000), 'A triangular Fourier p-element for the analysis of membrane vibrations', J. Sound Vib., 230(1),31-43   DOI   ScienceOn
9 Kitipomchai, A., Liew, K.M., Xiang, Y. and Wang, C.M. (1993), 'Free flexural vibration of triangular Mindlin plates', Int. J. Mech. Sci., 35(2),89-102   DOI   ScienceOn
10 Leung, A.Y.T. (1993), Dynamic Stiffness and Substructures, Springer-Verlag, London, U'K
11 Wang, C.M., Reddy, J.N. and Lee, K.H. (2000), Shear Deformable Beams and Plates, Elsevier, Oxford, U.K
12 Deshpande, V.S. and Fleck, N.A. (2000), 'High strain rate compressive behaviour of aluminium alloy foams', Int. J. Impact Eng., 24, 277-298   DOI   ScienceOn
13 Tin-Loi, F. and Ngo, N.S. (2003), 'Performance of the p-version finite element method for limit analysis', Int. J. Mech. Sci., 45, 1149-1166   DOI   ScienceOn
14 Leung, A.Y.T., Zhu, B., Zheng, J.J. and Yang, H. (2004), 'Analytic trapezoidal Fourier p-element for vibrating plane problems', J. Sound Vib., 271(1-2), 67-81   DOI   ScienceOn
15 Houmat, A. (2001), 'A sector Fourierp-element applied to free vibration analysis of sectorial plates', J. Sound Vib., 243(2), 269-282   DOI   ScienceOn
16 Liew, K.M. and Lam, K.Y. (1991), 'A set of orthogonal plate functions for flexural vibration of regular polygonal plates', J. Vib. Acoustics, 113(3), 182-186   DOI   ScienceOn
17 Cote, A. and Charron, F. (2001), 'On the selection of p-version shape functions for plate vibration problems', Comput. Struct., 79, 119-130   DOI   ScienceOn
18 Wu, K.Q. and Yu, T.X, (2001), 'Simple dynamic models of elastic-plastic structures under impact', Int. J. Impact Eng, 25, 735-754   DOI   ScienceOn
19 Zhu, B. (2005), 'p-version finite elements and applications in structural impact and damage detection', Ph. D Thesis, City University of Hong Kong, Hong Kong, China
20 Woo, K.S., Hong, C.H., Basu, P.K. and Seo, C.G (2003), 'Free vibration of skew Mindlin plates by p-version of F.E.M', J. Sound Vib., 268(4), 637-656   DOI   ScienceOn
21 Zienkiewicz, O.C. and Taylor, R.L. (2000), The Finite Element Method. 5th Edition, Vol. 1, ButterworthHeinemann, Oxford, 276-304
22 Leung, A.Y.T. and Zhu, B. (2004a), 'Comments on 'Free vibration of skew Mindlin plates by p-version of FEM', J. Sound Vib., 278(3), 699-703   DOI   ScienceOn
23 Leung, A.Y.T. and Zhu, B. (2004b), 'Fourier p-elements for curved beam vibrations', Thin-Walled Structures, 42(1), 39-57   DOI   ScienceOn
24 Leung, A.Y.T. and Zhu, B. (2004c), 'Transverse vibration of thick polygonal plates using analytically integrated trapezoidal Fourier p-element', Comput. Struct., 82(2-3), 109-119   DOI   ScienceOn
25 Liew, K.M., Xiang, Y. and Kitipomchai, S. (1993), 'Transverse vibration of thick rectangular plates-I. Comprehensive sets of boundary conditions', Comput. Struct., 49(1), 1-29   DOI   ScienceOn
26 Papadrakakis, M. and Babilis, G.P. (1994), 'Solution techniques for the p-version of the adaptive finite element method', Int. J. Numer. Meth. Eng, 37, 1413-1431   DOI   ScienceOn
27 Qiao, P.Z., Yang, M.J. and Mosallam, A.S. (2004), 'Impact analysis of I-Lam sandwich system for over-height collision protection of highway bridges', Eng Struct., 26, 1003-1012   DOI   ScienceOn
28 Ruzzene, M., Fasana, A., Garibaldi, L. and Piombo, B. (1997), 'Natural frequencies and damping identification using wavelet transform: Application to real data', Mechanical Systems and Signal Processing, 11(2), 207-218   DOI   ScienceOn