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Static analysis of frame structures by the differential quadrature element method. (English) Zbl 0888.73078
A new version of differential quadrature method (DQM) is proposed and then extended to analyse frame structures. The new method, called the differential quadrature element method (DQEM), retains all advantages of the differential quadrature method and overcomes some critical shortcomings existing in the original DQM. The methodology is explained in details via a differential quadrature beam element, and some numerical examples are given to show the efficiency of the method.

MSC:
74S30 Other numerical methods in solid mechanics (MSC2010)
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
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[1] Striz, Int. J. Solids Struct. 31 pp 2807– (1994) · Zbl 0943.74562 · doi:10.1016/0020-7683(94)90070-1
[2] Bellman, J. Math. Anal. Appl. 34 pp 235– (1971) · Zbl 0236.65020 · doi:10.1016/0022-247X(71)90110-7
[3] Bert, AIAA J. 26 pp 612– (1988) · Zbl 0661.73063 · doi:10.2514/3.9941
[4] Jang, Int. j. numer. methods eng. 28 pp 561– (1989) · Zbl 0669.73064 · doi:10.1002/nme.1620280306
[5] Wang, J. Sound Vib. 162 pp 566– (1993) · Zbl 0958.74527 · doi:10.1006/jsvi.1993.1143
[6] Bert, Int. J. Solids Struct. 30 pp 1737– (1993) · Zbl 0800.73182 · doi:10.1016/0020-7683(93)90230-5
[7] Wang, Adv. Mech. 25 pp 232– (1995)
[8] ’Finite Element Structural Analysis, Prentice-Hall, Englewood Cliffs, N.J., 1986.
[9] Leiss, J. Sound Vib. 31 pp 257– (1973) · Zbl 0268.73033 · doi:10.1016/S0022-460X(73)80371-2
[10] and , Theory of Elastic Stability, McGraw-Hill, New York, 1961.
[11] Rieger, Int. J. Mech. Sci. 7 pp 253– (1965) · doi:10.1016/0020-7403(65)90043-3
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.