Abstract
Computation of approximate eigenmodes is required in many problems of of structural engineering, so that the relevant error estimates are of great practical importance. This paper presents the complete proof of new error estimates which are based on an original technique due to G. Fichera. In the seismic analysis of structures a number of natural frequencies and associated vibration modes are computed by means of a Rayleigh — Ritz, finite element approximation: It is shown that the error estimates of this paper can be applied to the modal analysis of framed structures. To this end is presented a method to obtain an explicit representation of the Green operator that is suitable for computation by numerical procedures also in the case of very complex structures, as real buildings are.
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References
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© 1983 Springer Basel AG
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Romano, M. (1983). Eigenvector Estimates and Application to Some Problems of Structural Engineering. In: Albrecht, J., Collatz, L., Velte, W. (eds) Numerical Treatment of Eigenvalue Problems Vol. 3 / Numerische Behandlung von Eigenwertaufgaben Band 3. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 69. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6754-2_11
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DOI: https://doi.org/10.1007/978-3-0348-6754-2_11
Publisher Name: Birkhäuser, Basel
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Online ISBN: 978-3-0348-6754-2
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