Summary
A plastic source method is developed with structural applications as an alternative to the well-established incremental stiffness formulation of physically nonlinear problems. A combined model of rate-independent plasticity and damage is considered. Total solution is separated into two responses due to external loads and due to the material nonlinearities, which can be considered as defects in the structure. Modal decomposition is applied, where the quasistatic response due to external loads as well as defects is used in closed form whenever possible (e.g. for beam-like structures), which gives better accuracy compared to a series expansion of the total (quasistatic plus dynamic) solution. Defects act as sources of eigenstresses in the structure. Their intensity is determined in a time-stepping manner by means of the constitutive law. FFT is applied to responses in bending vibrations for inspection of changes in the frequency contents due to nonlinear material behaviour.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Moon, F.C.: Chaotic Vibrations. New York: J. Wiley & Sons 1987.
Guckenheimer, J.; Holmes, Ph.: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. New York: Springer 1983.
Symonds, P.S.; Yu, T.X.: Counterintuitive behavior in a problem of elastic-plastic beam dynamics. J. Appl. Mech. 52 (1985) 517–522.
Poddar, B.; Moon, F.C.; Mukherjee, S.: Chaotic motion of an elastic-plastic beam. J. Appl. Mech. 55 (1988)185–189.
Irschik, H.; Ziegler, F. Dynamics of linear elastic structures with selfstress: A unified treatment for linear and nonlinear problems. ZAMM 68 (1988) 199–205.
Boley, B.A.; Barber, A.D.: Dynamic response of beams and plates to rapid heating. J. Appl. Mech. 24 (1957) 413–419.
Fotiu, P.; Irschik, H.; Ziegler, F.: Dynamic response of elasto-viscoplastic deteriorating beams and plates. Computational Mechanics “88, Atluri, S.N.; Yagawa, G. (eds.), 40.i.1–40.i. 5. Atlanta: Proc. ICES 1988.
Fotiu, P.; Irschik, H.; Ziegler, F. Forced vibrations of an elasto-plastic deteriorating beam. Acta Mech. 69 (1987)193–203.
Krajcinovic, D. Continuum damage mechanics. Appl. Mech. Update 1986, ASME, 397–406. New York 1986.
Frantziskonis, G.; Desai, C.S.: Elastoplastic model with damage for strain-softening geomaterials. Acta Mech. 68 (1987)151–170.
Irschik, H.; Ziegler, F.: Nonstationary random vibrations of yielding frames. Nuc. Eng. Design 90 (1985) 357–364.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Fotiu, P., Irschik, H., Ziegler, F. (1990). Dynamic Plasticity: Structural Drift and Modal Projections. In: Schiehlen, W. (eds) Nonlinear Dynamics in Engineering Systems. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83578-0_10
Download citation
DOI: https://doi.org/10.1007/978-3-642-83578-0_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-83580-3
Online ISBN: 978-3-642-83578-0
eBook Packages: Springer Book Archive