Nonlinear dynamic substructure analysis using direct integration of steady-state solution. (English) Zbl 0672.73077
Summary: A reliable and efficient dynamic substructure technique for the determination of the steady-state response of structures with physical nonlinearities is presented. Although the algorithm is similar to component mode synthesis, enhanced substructures of Lanczos-Ritz vectors are used, to account for the spatial distribution of the external and inertial loads. The steady-state solution is computed from the transient response over a single excitation cycle. The nonlinear behaviour is accomplished by a purely iterative pseudo-force method. The numerical results show the potential of such an approach for the analysis of large structures.
MSC:
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
| 74H45 | Vibrations in dynamical problems in solid mechanics |
| 65F30 | Other matrix algorithms (MSC2010) |
Keywords:
steady-state response; enhanced substructures of Lanczos-Ritz vectors; spatial distribution; external; inertial loads; steady-state solution; transient response over a single excitation cycle; purely iterative pseudo-force methodReferences:
| [1] | , , and , ’Dynamic substructure analysis using enhanced Lanczos-Ritz vectors’, in Proc. 2nd Int. Conf. on Numerical Methods in Engineering: Theory and Applications, NUMETA ’87, and (eds), Martinus Nijhoff Publishers, T38, 1987. |
| [2] | Wilson, ASCE J. Struct. Eng. 112 pp 1944– (1986) |
| [3] | Veletsos, J. Eng. Mech. 109 pp 1215– (1983) |
| [4] | , , and , ’Direct integration of the steady-state solution in time domain’, in Proc. 6th Int. Symp. on Offshore Engineering, Brazil Offshore ’87, Rio de Janeiro, Brazil, Pentech Press, London, pp. 463-473, 1987. |
| [5] | Wilson, J. Earth Eng. Struct. Dyn. 10 pp 813– (1982) |
| [6] | Nour-Omid, J. Earth Eng. Struct. Dyn. 12 pp 565– (1984) |
| [7] | , and , ’Nonlinear dynamic analysis of a jacket-type platform by Ritz mode superposition method’, in Proc. of the Offshore Technology Conference, Houston Texas, OTC 5030, 1985. |
| [8] | Coutinho, Comput. Struct. 25 pp 615– (1987) |
| [9] | Trujillo, J. Appl. Mech. 49 pp 203– (1982) |
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