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Optimization models including statistical parameters for shells made of composite materials

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Literature Cited

  1. R. B. Rikards and G. A. Teters, Stability of Shells Made of Composite Materials [in Russian], Riga (1974).

  2. R. B. Rikards, "Dual problem of optimizing an orthotropic cylindrical shell," Mekh. Polim., No. 5, 865–871 (1973).

  3. A. K. Malmeister, V. P. Tamuzh, and G. A. Teters, Resistance of Rigid Polymer Materials [in Russian], 2nd ed., Riga (1972).

  4. V. V. Bolotin, Application of the Methods of Probability Theory and Reliability Theory to the Design of Equipment [in Russian], Moscow (1971).

  5. V. V. Bolotin, "Criteria of maximum reliability in the theory of vibration protection," in: Abstracts of Proceedings of the All-Union Conference on Optimization Problems in the Mechanics of Deformable solids [in Russian], No. 2, Vil'nius (1974), pp. 10–11.

  6. A. A. Chiras, "Rational design of elastoplastic discrete systems under random loads," in: Reliability Problems in Resistance Mechanics [in Russian], Vil'nius (1968), pp. 55–60.

  7. V. E. Gaidachuk and A. A. Rassokha, "Methods of optimally designing aircraft structures with composite materials and with fatigue as well as reliability taken into account," in: Abstracts of Proceedings of the All-Union Conference on Optimization Problems in the Mechanics of Deformable Solids [in Russian], No. 1, Vil'nius (1974), pp. 23–24.

  8. S. A. Timashev, "Optimization of thin-walled structures with respect to reliability criteria," in: Abstracts of the Proceedings of the All-Union Conference on Optimization Problems in the Mechanics of Deformable Solids [in Russian], No. 2, Vil'nius (1974), pp. 55–56.

  9. D. B. Yudin, Mathematical Methods of Control under Conditions of Incomplete Information [in Russian], Moscow (1974).

  10. A. M. Sinyukov, B. I. Bel'chich, V. V. Kostylev, and V. A. Onoprienko, "Statistical analysis of certain characteristics of cylindrical shells made of glass-plastic," Mekh. Polim., No. 5, 906–910 (1973).

  11. R. B. Rikards and G. A. Teters, "Choice of optimum parameter values for a glass-plastic cylindrical shell under axial compression," Mekh. Polim., No. 6, 1132–1134 (1970).

  12. D. Hudson, Statistics for Physicists [Russian translation], 2nd ed., Moscow (1970).

  13. B. P. Makarov, V. M. Leizerakh, and M. I. Sudakova, "Statistical analysis of initial flaws in cylindrical shells," in: Reliability Problems in Structural Mechanics [in Russian], Vil'nius (1968), pp. 175–181.

  14. R. B. Rikards and G. A. Teters, "Optimization of a cylindrical shell made of a composite material with a viscoelastic filler under compression," Mekh. Polim., No. 3, 442–447 (1975).

  15. Ya. A. Brauns, "Bearing capacity of cylindrical shells made of a polymer material under axial compression and external pressure," Author's Abstract of Candidate's Dissertation, Riga (1974).

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  1. R. B. Rikards
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Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga. Translated from Mekhanika Polimerov, No. 6, pp. 1048–1058, November–December, 1976.

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Rikards, R.B. Optimization models including statistical parameters for shells made of composite materials. Polymer Mechanics 12, 916–924 (1976). https://doi.org/10.1007/BF00856492

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