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Ikona české vlajky

Ústav teoretické a aplikované mechaniky Akademie věd ČR

ITAM AS CR, v. v. i.
Prosecká 809/76
190 00 Praha 9
tel.: +420 286 882 121
fax: +420 286 884 634
e-mail: itam@itam.cas.cz
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Institutional research plan

Grants

investigator:     start year:    

Select a grant agency:
příznak agentury '' European Rail Research Institute (ERRI), Utrecht (3)
příznak agentury '' The Ministry of Culture of the Czech Republic (15)
příznak agentury '' The Ministry of Education, Youth and Sports (18)
příznak agentury '' Grant Agency of the Academy of Sciences of the Czech Republic (38)
příznak agentury '' Grant Agency of the Czech Republic (115)
příznak agentury '' Leonardo da Vinci (1)
příznak agentury '' European Commission (3)
příznak agentury '' Grant Agency of the Ministry of Health of the C.R. (1)
příznak agentury '' Marie Curie Fellowship (1)
příznak agentury '' Ministry of Transport (1)
příznak agentury '' Ministry for Regional Development (1)
příznak agentury '' Ministry of Industry and Trade (4)
příznak agentury '' Financial mechanisms of EEA and Norway, NVF (1)
příznak agentury '' Academy of Sciences of the Czech Republic (1)
All grants (203)


Selected programme detail:


příznak agentury 'Grant Agency of the Czech Republic'Stochastic behaviour of structures with random imperfections of shape and material in interaction with ambient environment
investigator:
Grant Agency of the Czech Republic
103/99/0122
1999-2001
The principal characteristic of all structures is the sensitivity of their dynamic and stability properties to unavoidable imperfections related to physical properties (residual stresses, degradation of material) and geometrical characteristics (deviations of shape and thickness, corrosion, accumulation of damages,etc.). These imperfections usually are random processes in space and time. Also static and dynamic loads applied to structures are random (non-gauss., non-stat.) processes with a strong correlation to the imperfections of structures. Typical are the strong nonlinear stochastic interactions of a structure and surrounding environment. Mathematical models will be based on Markov processes and FPK equations, possibly Chapman equations (non-gauss. inputs). The methods of their solution will combine variational and numerical methods incl. the maximum entropy of probability principle. Based on these considerations, arising problem of stochastic identification will be solved using the theory of optimum a posteriori estimates. Analytical and numerical solution will proceed parallelly with (i) laboratory and in situ experiments, (ii) verification by stochastic simulations. The target is the elaboration of methods applicable to engineering practice in the form of software for the influence assessment of random perturbations of structures and their non-stationary stochastic interaction with environment (seismicity, wind, fluid, traffic) on dynamic and stability resistance in nonlinear approach together with processes of material degradation. It will be possible to clarify some phenomena observed in practice, resulting from stochastic character of the problem and to assess their significance with reference to the attainment of the 1st and the 2nd limit state, incl. the proposal of maintenance. Applications to the drafts of Codes are envisaged.



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