The methods of direct perturbation for finite element models of thin-walled engineering constructions for sensitivity analysis of their strength, stiffness and dynamic characteristics to the change in their thickness are proposed. The approach for prediction of distribution for natural frequencies migration as result of change in their thickness are presented. The applicability of the linearized models to determine displacements, stresses and natural frequencies slightly thinned design compared to the nominal (original) are shown. The examples of test problems are given.
sensitivity, perturbation theory, the stress-strain state, the spectrum of natural vibration frequencies, the finite element method.
1. Vasidzu, K. Variational methods in the theory of elasticity and plasticity / K. Vazidzu; transl. from English under the editorship of N.V. Banichuk. - M.: Mir, 1987. - 542 p.
2. Zenkevich, O. Method of final elements in equipment / O. Zenkevich. - M.: Mir, 1975. - 541 p.
3. Marchuk, G. I. Methods of computational mathematics / G.I. Marchuk. - M.: Science, 1980. - 536 p.
4. Guz, A.N. Perturbation method of interface shape in continuum mechanics / A.N. Guz, Yu.N. Nemish. - Kiev: Higher School, 1989. - 352 p.
5. Shteynvolf, L.I. Dynamic calculations of machines and mechanisms / L.I. Shteynvolf. - M - Kiev: Mashgiz, 1961. - 340 p.
6. Simson, E. A. Technique of the analysis of vibration parameters sensitivity of mechanical systems / E.A. Simson, S.A. Nazarenko, M.V. Trokhman // Eastern-European Journal of Enterprise Technologies. - 2008. - 2/4 (32). - pp. 44-47.
7. Goloskokov, E.G. Non-stationary oscillations of mechanical systems / E.G. Goloskokov, A.P. Filippov. - Kiev: Naukova Dumka, 1966. - 335 p.
8. Grinev, V. B. Optimization of rods by eigenvalue spectrum / V.B. Grinev, A.P. Filippov. - Kiev: Naukova Dumka, 1979. - 211 p.
9. Fish, J. A First Course in Finite Elements PDF / J. Fish, T.Belytschko. - John Wiley & Sons Ltd, 2007. - 336 p.
10. Karmanov, V.G. Mathematical programming / V.G. Karmanov. - M.: Fizmatlit, 2004. - 264 p.
11. Dolinsky, V.M. Bending of thin plates exposed by corrosive wear / V.M. Dolinsky // Dynamics and strength of machines. - Kharkiv, 1975. - Issue 21. - pp. 43-49.
12. Dolinsky, V.M. Calculation of structural elements exposed by equal corrosion / V. M. Dolinsky // Deformation of materials and structural elements in adhesive environment. - Saratov, 1983. - pp. 61-67.
13. Pronina, Yu.G. Estimation of the life of an elastic tube under the action of a longitudinal force and pressure under uniform surface corrosion conditions / Yu.G. Pronina // Deformation and destruction of materials. - 2009. - No. 2. - pp. 41-44.
14. Pronina, Yu.G. Analysis of the service life of an elastic pipe loaded by longitudinal force, pressure and axisymmetric heating in the conditions of uniform corrosion / Yu.G. Pronina // Problems of durability and plasticity. - 2009. - Issue 71. - pp. 129-135.
15. Babakov, I.M. Theory of fluctuations / I.M. Babakov. - M.: Science, 1968. - 560 p.
16. Gusev, Yu.B. Substantiation of the highly surface-hardened machines parameters on the basis of stress and strain state modeling taking into account properties degradation of system basic elements: Thesis for Can.Eng.Degree / Yu.B. Gusev. - Mariupol, 2009. - 226 p.
17. Barchan, E.N. Improvement of calculation and designing methods of melting transportation machine for molding lines of large casting: Thesis for Can.Eng.Degree / E.N. Barchan. - Mariupol, 2008. - 178 p.
18. Tanchenko, A.Yu. Influence of panels thickness on the spectrum of their own vibration frequencies of special setting transport vehicles hulls // A.Yu. Tanchenko // Messenger of NTU "KhPI". - Kharkiv, 2013. - No. 23 (996). - pp. 138-145.
