Summary
This study is a continuation of a previous paper [4] in which the numerical results are given by using single precision arithmetic. In this paper, we show the numerical results which experess the sharper convergence properties than those of [4], by using double precision arithmetic.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Albrecht, J.: Einschließung von Eigenwerten bei Schwingungen von Kreisbögen. Z. Angew. Math. Mech.63, 387–389 (1983)
Archer, R.R.: Small vibration of thin incomplete circular rings. Int. J. Mech. Sci.1, 45–56 (1960)
Den Hartog, J.P.: The lowest natural frequency of circular arcs. Philos. Mag5, 400–408 (1928)
Ishihara, K.: A finite element lumped mass scheme for solving eigenvalue problems of circular arches. Numer. Math.36, 267–290 (1981)
Volterra, E., Morell, J.D.: A note on the lowest natural frequency of elastic arcs. Trans. ASME Ser. E. J. Appl. Mech.27, 744–746 (1960)
Wilkinson, J.H.: The algebraic eigenvalue problem. Oxford: Oxford University Press 1965
Author information
Authors and Affiliations
Additional information
Dedicated to Prof. Masaya Yamaguti on the occasion of his 60th birthday
Rights and permissions
About this article
Cite this article
Ishihara, K. A finite element lumped mass scheme for solving eigenvalue problems of circular arches. Numer. Math. 46, 499–504 (1985). https://doi.org/10.1007/BF01389655
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01389655