Abstract
The main problem of torsion balance measurements is the long damping time however it is possible to significantly reduce the observation time by modern technology. The damping curve can be precisely determined by CCD sensors as well as computerized data collection and evaluation. The first part of this curve makes it possible at least theoretically to estimate the final position of the arm at rest. A finite element solution of a fluid dynamics model based on Navier–Stokes equations is presented here to solve the problem.
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References
Akima H (1970) A new method of interpolation and smooth curve fitting based on local procedures. J ACM 17(4):589–602
Glowinski R, Pan TW, Hesla TI, Joseph DD (1998) A distributed Lagrange multiplier/fictitious domain method for particulate flow. Int J Multiphase Flow 25:755–794
Gregory RD (2006) Classical mechanics. An undergraduate text. Cambridge University Press, Cambridge
Heil M, Hazel AL (2006) oomph-lib – an object-oriented multi-physics finite-element library. In: Schafer M, Bungartz H-J (eds) Fluid-structure interaction. Lecture notes on computational science and engineering. Springer, Berlin, pp 19–49
Janela J, Lefebvre A, Maury B (2005) A penalty method for the simulation of fluid-rigid body interaction. In: ESAIM proceedings, vol 14, pp 201–212
Landau LD, Lifshitz EM (1976) Mechanics, vol 1, 3rd edn. Butterworth-Heinemann, Oxford
Pozrikidis C (2001) Fluid dynamics: theory, computation and numerical simulation. Kluwer, Boston, p 658
Riedel KS, Sidorenko A (1995) Adaptive smoothing of the log-spectrum with multiple tapering. IEEE Trans Signal Process 43:188–195
Selényi P (1953) Collected papers of Eötvös Loránd. Akadémiai Kiadó, 386 pp. (in Hungarian)
Völgyesi L, Cs É, Laky S, Gy T, Ultmann Z (2009a) Reconstruction of a torsion balance, and test measurements in the Mátyás cave in Budapest. Geomatikai Közlemények XII:71–82 (in Hungarian with English abstract)
Völgyesi L, Csapó G, Laky S, Gy T, Ultmann Z (2009b) New torsion balance measurements in Hungary after a half century’s interruption. Geodézia Kartográfia 61(11):71–82 (in Hungarian with English abstract)
Acknowledgments
This research was funded partially by OTKA project No. 76231. Constructive comments by the anonymous reviewers helped us to improve the paper.
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Tóth, G., Völgyesi, L., Laky, S. (2014). Reducing the Measurement Time of the Torsion Balance. In: Rizos, C., Willis, P. (eds) Earth on the Edge: Science for a Sustainable Planet. International Association of Geodesy Symposia, vol 139. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37222-3_45
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DOI: https://doi.org/10.1007/978-3-642-37222-3_45
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