Optimal design of tubularbar structures subjected to corrosion

Authors

  • М. М. Фридман Krivoy Rog Metallurgical Institute of the National Metallurgical Academy of Ukraine, Ukraine

Keywords:

corrosion, optimization, reliability

Abstract

In the operation of buildings and structures in aggressive environments, their designs are subject to both mechanical and chemical resistance, in particular, corrosive wear. The impact of stress on the rate of corrosion in the design calculations for the first time was considered Dolinsky, investigated the strength of the stretchable thin-walled tube, subjected to uniform corrosion, the rate of which was considered as a linear function of the stress intensity. The objective of exploitation structures working in aggressive environments, is to minimize the cost of its safe lifespan. However, solving this problem arises the apparent contradiction. Thus, the longer design performs its function, the lower the unit cost of its operation time, but it increases the probability of failure of the design. To resolve this conflict requires an integrated approach, taking into account both the strength and the economic performance of the project. This research is devoted the optimal design of tubular rod structures exposed to corrosive environments. Influence of stress state on corrosion kinetics takes into account design using corrosion models Dolinsky. As a function of purpose was adopted by full amount expected costs, taking into account, in addition to the initial cost of construction, reliability and costs caused by its refusal. Optimized initial size cross-section tubular elements and their calculated resistance.The study received expression of durability, as well as the inverse problem is solved by definition cross-sectional sizes truss structural elements of annular section (when you specify a value for the duration of their operation), prone to corrosion, by using model Dolinsky.The problem of optimization of truss operated in an aggressive environment with the use of an economic model that takes into account in addition to the initial cost of design, reliability and costs caused by its failure.From the resulting optimal design follows that the value of reliability strive to unity, which results in the exclusion of damage caused by the failure the construction, which is much greater than its initial cost.

Author Biography

М. М. Фридман, Krivoy Rog Metallurgical Institute of the National Metallurgical Academy of Ukraine

PhD

References

Dolinsky V. M., 1967, Analysis of Loaded Tubes Subjected to Corrosion, Chemical and Oil Industry Engineering, 2, 21-30 [in Russian].

Pochtman Y. M., Fridman M. M., 1997, Methods of Reliability Analysis and Optimal Design of Structures under Extremal Conditions, Nauka i Obrazovanye, Dnepropetrovsk, Ukraine [in Russian].

Fridman M. M., Życzkowski M., 2001, Structural Optimization of Elastic Columns under Stress Corrosion Conditions, Structural and Multidisciplinary Optimization, 21,3, 218-228.

Gutman E. M., Zaynullin R. S., Shatalova T. G., 1984, The strength of gas pipe in terms of corrosion wear, Nedra, Moscow [in Russian].

Gutman E. M., Zaynullin R. S., 1984, Kinetics of Mechanical-chemical Collapse and Durability of Structural Elements under Tension during Elastic-Plastic Deformation, Fiz.-Khim. Mekhanika Materialov, 2, 14-17 [in Russian].

Fridman M. M. and Elishakoff I., 2013, Buckling Optimization of Compressed Bars undergoing Corrosion, Ocean Systems Engneering, 3,2, 123-136.

SNIP II-23-81, 1990, Building Regulations. Steel Structures, “Stroiizdat” Publishers, Moscow [in Russian].

Kapur K., Lamberson L., 1977, Reliability in engineering design, New York, John Wiley.

Augusti G., Baratta A., Casciati F., 1984, Probabilistic Methods in Structural Engineering, London New York, Chapman and Hall.

Gurvich, I. B., Zaharchenko, B. G., Pochtman, Y. M., 1979, Randominized Algorithm for Solution of Problems of Nonlinear Programming (in Russian). Izv. Ac. Sci. USSR, Engineering Cybernetics, 5, 15-17 [in Russian]

Published

2016-09-30

Issue

Section

Dynamics and Strength of Machines