×

Calculation of vibration frequencies by a hybrid element method based on a generalized complementary energy principle. (English) Zbl 0346.73054


MSC:

74S05 Finite element methods applied to problems in solid mechanics
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Pian, AIAA J. 2 pp 1333– (1964)
[2] Pian, Int. J. Num. Meth. Engng. 1 pp 3– (1969)
[3] Tabarrok, Int. J. Solids Struct. 7 pp 251– (1971)
[4] Toupin, Trans. Am. Soc. Mech. Engrs. 74 pp 151– (1952)
[5] Tabarrok, ZAMM 53 pp 773– (1973)
[6] Tabarrok, AIAA J. 10 pp 1553– (1972)
[7] Tabarrok, Int. J. Num. Meth. Engng. 5 pp 523– (1973)
[8] and , ’Application of stress functions to dynamic analysis of shallow shells’, Variational Methods in Engineering, Vol. 13 /46-3/61 (edited by), and Southampton Uni. Press, Southampton, England (1973).
[9] Theory of matrix structural analysis, McGraw-Hill Company, New York.
[10] Tong, Int. J. Solids Struct. 10 pp 919– (1974)
[11] Kärcher, Int. J. Num. Meth. Eng. 9 pp 129– (1975)
[12] Washizu, Int. J. Solids Struct. 2 pp 27– (1966)
[13] ’Complementary Energy Methods in Elastodynamics’, IUTAM Colloquium on High Speed Computing of Elastic Structures, Liege, Belgium 1970, 625-662.
[14] Karnopp, ZAMP 18 pp 575– (1967)
[15] Tabarrok, J. Sound. Vibr. 8 pp 469– (1968)
[16] Tabarrok, Aeronaut. J. 72 pp 68– (1968)
[17] Karnopp, J. Franklin Inst. 284 (1967)
[18] ’Finite Elemente auf der Grundlage verallgemeinerter Variationsprinzipien zur Berechnung von Eigenfrequenzen mit einer Anwendung auf elastische Platten’, Dissertation TH Darmstadt, 1975.
[19] ’Computational efficiency of equilibrium models in eigenvalue analysis’, IUTAM Colloquium on High Speed Computing of Elastic Structures, Liege, Belgium 1970, 589-623.
[20] Greene, AIAA J. 7 pp 1254– (1969)
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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.