DQEM for large deformation analysis of structures with discontinuity conditions and initial displacements

Engineering Structures

Volumn 30, Issue 5, 2008, Pages 1473-1487

  Hu, Yu Jia ^a   Zhu, Yuan Yuan ^b   Cheng, Chang Jun ^a  

^a SHANGHAI UNIVERSITY   (China)

^b SHANGHAI NORMAL UNIVERSITY   (China)

Author keywords

Beam; Differential quadrature element method (DQEM); Discontinuity condition; Frame; Large deformation; Pile

Indexed keywords

ALGEBRA; BEAMS AND GIRDERS; DEFORMATION; MATHEMATICAL MODELS; NEWTON-RAPHSON METHOD; NONLINEAR EQUATIONS; NUMERICAL METHODS;

DIFFERENTIAL QUADRATURE ELEMENT METHOD (DQEM); LARGE DEFORMATION ANALYSIS;

STRUCTURAL ANALYSIS;

ALGEBRA; BEAMS AND GIRDERS; DEFORMATION; MATHEMATICAL MODELS; NEWTON-RAPHSON METHOD; NONLINEAR EQUATIONS; NUMERICAL METHODS; STRUCTURAL ANALYSIS;

BUILDING; COORDINATE; DEFORMATION MECHANISM; DESIGN; NUMERICAL METHOD; NUMERICAL MODEL; STRUCTURAL ANALYSIS; STRUCTURAL COMPONENT;

EID: 41549130723     PISSN: 01410296     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engstruct.2007.10.007     Document Type: Article

References (27)

1. Bellmam R.E., and Casti J. Differential quadrature and long term integration. J Math Anal Appl 34 (1971) 235-238
2. Bellman R.E., Kashef B.G., and Casti J. Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations. J Comput Phys 10 (1972) 40-52
3. Quan J.R., and Chang C.T. New insights in solving distributed system equations by the quadrature methods-I. Comput Chem Engrg 13 (1989) 779-788
4. Quan J.R., and Chang C.T. New insights in solving distributed system equations by the quadreture methods-II. Comput Chem Engrg (1989) 1017-1024
5. Shu C., and Richards B.E. Parallel simulation of incompressible viscous flows by generalized differential quadrature. Comput Syst Engrg 3 (1992) 271-281
6. Wang X., and Bert C.W. A new approach in applying differential quadrature to static and free vibrational analyses of beams and plates. J Sound Vibration 162 (1993) 566-572
7. Wang X. An explicit formulation for weighting coefficients of harmonic differential quadrature. J Nanjing Univ Aeronaut Astronaut 27 4 (1995) 496-501
8. Li J.-J., and Cheng C.-J. Differential quadrature method for bending of orthotropic plates with finite deformation and transverse shear effect. Appl Math Mech 25 8 (2004) 801-808
9. Li J.-J., and Cheng C.-J. Differential quadrature method for nonlinear vibration of orthotropic plates with finite deformation and transverse shear effect. J Sound Vibration 281 (2005) 295-305
10. Civalek O. Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns. Eng Struct 26 2 (2004) 171-186
11. Civalek O. Nonlinear analysis of thin rectangular plates on Winkler-Pasternak elastic foundations by DSC-HDQ methods. Appl Math Model 31 3 (2007) 606-624
12. Qiang G., and Zhong H.Z. Nonlinear vibration of a coating-FGM-substrate cylindrical panel subjected to a temperature gradient. Comput Methods Appl Mech Engrg 195 9-12 (2006) 1007-1026
13. Liew K.M., and Yang M. Non-linear vibration analysis of beams by a spline-based differential quadrature method. J Sound Vibration 269 1-2 (2004) 413-420
14. Bert C.W., and Malik M. Differential quadrature method in computational mechanics: A review. Appl Mech Rev 49 (1996) 1-28
15. Sun J.-A., and Zhu Z.-Y. Application of differential quadrature method to solve entry flow of viscoelastic second-order fluid. Int J Numer Mech Fluids 30 8 (1999) 1109-1117
16. Sun J.-A., and Zhu Z.-Y. Upwind local differential quadrature method for solving incompressible viscous flow. Comput Methods Appl Mech Engrg 188 (2000) 495-504
17. Striz A.G., and Chen W. Static analysis of structures by the quadrature element method. Int J Numer Methods Engrg 40 (1997) 759-772
18. Engles H. Numerical quadrature and cubature (1980), Academic Press, San Diego
19. Civan F. Solving multivariable mathematical models by the quadrature and cubature methods. Numer Methods Partial Differential Equations 10 (1994) 545-567
20. Wang X.W., and Gu H.Z. Static analysis of frame structures by the differential quadrature element method. Int J Numer Methods Engrg 40 (1997) 759-772
21. Wang X.W., Wang Y.L., and Chen R.B. Static and free vibrational analysis of rectangular plates by the differential quadrature element method. Comm Numer Methods Engrg 14 (1998) 1133-1141
22. Liu F.L., and Liew K.M. Vibration analysis of discontinuous Mindlin plates by differential quadrature element method. Vibration and Acoustics 121 (1999) 204-208
23. Chen C.N. The two-dimensional frames model of the differential quadrature element method. Comput Struct 62 3 (1997) 555-571
24. Bisshopp K.E., and Drucker D.C. Large deflections of a cantilever beam. Quart Appl Math 3 (1945) 272-275
25. Jenkins J.A. Large deflection of diamondshaped frames. Int Soils Struct 2 (1966) 591-603
26. Miura F. Lessons from damage to pile foundation caused by past earthquake in Japan and the necessity of nonlinear analyses of pile foundation. Proceedings of the 4th international conference on nonlinear mechanics (2002), Shanghai University Press, Shanghai 109-115
27. Miyasaka T. Study on the effectiveness of the high ductility aseismatic joint spliced pile subjected to liquefaction-induced large ground displacement. Doctor Thesis of Yamaguchi-University. 1997 [in Japanese]