Structural Dynamic and Viscoelastic Analysis via Electric Analogy
Publication: Journal of Structural Engineering
Volume 122, Issue 9
Abstract
The analysis of viscoelastic continua and spatial frames may be related back to the study of the RLC (resistance, inductance, and capacitor lumped constant) electrical network by considering the analogy existing between the stress-strain relationships in the viscoelastic materials and the current-potential relationships in the electric circuits. The proposed analogy is also a consistent tool for the evaluation of creep in spatial structures composed of rectilinear frames. The theoretical bases of this possible application are brought out and a numerical example is presented. The main contribution of this work is the development of the electrical analogy to the solution of dynamic systems excited by time-dependent loads. The theoretical formulation of a free dynamic system is extensively discussed and a numerical example shows its easy applicability to a spatial framework. As far as the analysis of damped structures is concerned, two different models of a single-degree-of-freedom system are proposed.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bažant, Z. P. (1965). “Electric analogue for creep of concrete structures.”Proc., Int. Conf. on Experimental Methods of Stress and Strain Anal., 207–218.
2.
Bažant, Z. P. (1969). “Phenomenological theories for creep of concrete based on rheological models.”Acta Technica CSAV, 11, Prague, the Czech Republic, 82–108.
3.
Bažant, Z. P. (1982). “Mathematical models for creep and shrinkage of concrete.”Creep and shrinkage in concrete structures, Z. P. Bažant and F. H. Wittmann, eds., John Wiley & Sons, Inc., London, England, 163–256.
4.
Bonvicini, D. (1930–31). “Su alcuni teoremi fondamentali della elettrodinamica e della statica dei solidi elastici.”Rendiconti Accademia dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Vol. XIII, serie 6, I Sem., Roma, No. 2 May 1930 and No. 8 April 1931.
5.
Carol, I., and Bažant, Z. P.(1993). “Viscoelastic with ageing caused by solidification of nonageing constituent.”J. Engrg. Mech., 119(11), 2252–2269.
6.
Cohen, E., and Pederson, D. O. (1972). SPICE . Coll. of Engrg., Dept. of Elect. Engrg. and Comp. Sci., Univ. of California, Berkeley, Calif.
7.
Elishakoff, I., Eliseef, P., and Glegg, S. A. L.(1994). “Nonprobabilistic, convex-theoretic modelling of scatter in material properties.”AIAA J., 32(4), 843–849.
8.
Kron, G. (1944). “Tensorial analysis and equivalent circuits of elastic structures.”J. Franklin Inst., (Dec.).
9.
Majorana, C. E., Schrefler, B. A., and Vitaliani, R. (1984). “Investigation of viscoelastic continua by means of the electrodynamic analogy.”Proc., Conf. Progress in the Formulation of the Struct. Analy. Problem since Castigliano, Torino, Dip. di Ingegneria Strutturale, 47–59.
10.
Majorana, C. E., Schrefler, B. A., and Vitaliani, R. (1986). “Mechanical analysis of viscoelastic continua by means of the electrodynamic analogy.”Proc., JSST Conf. on Recent Adv. in Simulation of Complex Syst.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 122 • Issue 9 • September 1996
Pages: 1118 - 1121
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Sep 1, 1996
Published in print: Sep 1996
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.