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Investigation of optimal systems

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References

  1. D. K. Bendyug, “On the problem of calculating a hingeless arch,” Izv. vuzov, nos. 11, 12, Novosibirsk, 1959.

  2. D. K. Bendyug, “A tabular calculation of a hingeless arch of minimum weight,” Trudy Khar'kovsk. in-ta inzh. zhel.-dor. transporta, no. 45, 1961.

  3. D. K. Bendyug, “A two-hinged arch with extendible heels,” Trudy Khar'kovsk, in-ta inzh. zhel.-dor. transporta, no. 45, 1961.

  4. D. K. Bendyug, “A hingeless arch with portions of increased flexibility,” Stroitel'naya mekhanika i raschet sooruzhenii, no. 2, 1963.

  5. D. K. Bendyug, Certain Uses of the Inverse Problem in the Design of Rational Arch Systems [in Russian], Candidate's dissertation, Khar'kov Institute of Engineers of Rail Transport, 1963.

  6. D. K. Bendyug, “The law of variation of moments of inertia of cross sections of an arch in analytical form,” Trudy Khar'kovsk in-ta inzh. zhel.-dor. transporta, no. 74, 1965.

  7. B. G. Bradul-Kirillov, Problems of Calculating New Reinforced Rail Foundations of the Block Type [in Russian], Candidate's dissertation, Khar'kov Institute of Engineers of Rail Transport, 1966.

  8. B. G. Bradul-Kirillov, “Calculation of the optimal structures of rail foundations with the use of digital computers,” Proceeding of the All-Union Conference on Statics and Dynamics of of Thin-Walled Three-Dimensional Structures [in Russian], Kiev, 1967.

  9. P. M. Varvak, “The nonlinear problem concerning a momentless shell of constant strength,” DAN URSR, no. 9, 1965.

  10. V. G. Vasil'ev, “Investigation of the load carrying capacity of hingeless reinforced concrete arches under the action of constant and time-varying loads,” Nauchn. soob. Khar'kovsk. in-ta inzh. zhel.-dor. transporta, 1959.

  11. V. G. Vasil'ev, Rational Forms and Load Carying Capacity of Reinforced Concrete Hingeless Arches under the Action of Constant and Time-Varying Loads [in Russian], Candidate's dissertation, Khar'kov Institute of Engineers of Rail Transport, 1960.

  12. V. G. Vasil'ev, “On the load carrying capacity of reinforced concrete hingeless arches,” Trudy Khar'kovsk. in-ta. inzh. zhel.-dor. transporta, no. 45, 1961.

  13. A. I. Vinogradov, Investigation of Problems of Designing Coverings with Given Stresses [in Russian], Doctoral dissertation, Moscow Institute of Engineers of Rail Transport, 1948.

  14. A. I. Vinogradov, “The use of the envelope of moments in calculating for a moving load,” Trudy Moskovsk, in-ta inzh. zhel.-dor. transporta, no. 74, 1950.

  15. A. I. Vinogradov, “Certain invariants of a statically indeterminate system and their use in a rational calculation,” Trudy Khar'kovsk. in-ta inzh. zhel.-dor. transporta no. 21, 1951.

  16. A. I. Vinogradov, “Calculation of statically indeterminate systems by the method of numerical integration,” Trudy Khar'kovsk. in-ta inzh. zhel.-dor. transporta, no. 23, 1953.

  17. A. I. Vinogradov, “Certain problems of calculating bar systems with given stresses,” collection: Investigations into Theory of Structures [in Russian], no. 6, Gosstroiizdat, Moscow, 1954.

    Google Scholar 

  18. A. I. Vinogradov, “On static indeterminacy of bar systems of least weight,” collection: Investigations into Theory of Structures [in Russian], no. 6, Gosstroiizdat, Moscow, 1954.

    Google Scholar 

  19. A. I. Vinogradov, “Problems of calculating structures of least weight,” Trudy Khar'kovsk. in-ta inzh. zhel.-dor. transporta, no. 25, 1955.

  20. A. I. Vinogradov, “On certain properties of systems with a given orientation of the axes,” collection; investigations into Theory of Structures [in Russian], no. 7, Gosstroiizdat, Moscow, 1957.

    Google Scholar 

  21. A. I. Vinogradov, “On the calculation of systems in the form of a closed contour with given stresses,” collection: Investigations into Theory of Structures [in Russian], no. 7, Gosstroiizdat, Moscow, 1957.

    Google Scholar 

  22. A. I. Vinogradov, “On trusses of least weight,” Prykladna mekhanika vol. 4, no. 3, 1958.

  23. A. I. Vinogradov, “On the problem concerning the rational calculation and rational form of hingeless arches,” Trudy Khar'kovsk. in-ta inzh. zhel.-dor. transporta, no. 28, 1958.

  24. A. I. Vinogradov, “On the problem concerning the calculation of statically indeterminate trusses,” Trudy Khar'kovsk. in-ta inzh. zhel.-dor. transporta, no. 28, 1958.

  25. A. I. Vinogradov, “On the problem concerning the calculation of bar systems of least weight,” collection: Investigations into Theory of Structures [in Russian], no. 8, Gosstroiizdat, Moscow, 1959.

    Google Scholar 

  26. A. I. Vinogradov, “On taking into account the intrinsic weight of bar systems with given stresses,” collection: Investigations into Theory of Structures [in Russian], no. 8, Gosstroiizdat, Moscow, 1959.

    Google Scholar 

  27. A. I. Vinogradov, “On the best elimination of redundant constraints in trusses with given stresses,” Stroitel'naya mekhanika i raschet sooruzhenii, no. 5, 1959.

  28. A. I. Vinogradov, “On systems of least weight with elastic-compliant constraints,” Stroitel'naya mekhanika i raschet sooruzhenii, no. 5, 1960.

  29. A. I. Vinogradov and S. P. Fesik, “On the best distribution of stresses in combined systems,” Prykladna mekhanika, vol. 7, no. 5, 1960.

  30. A. I. Vinogradov and S. P. Fesik, “On statically indeterminate frames of least weight,” Stroitel'naya mekhanika i raschet sooruzhenii, no. 3, 1962.

  31. A. I. Vinogradov, “Elementary synthesis problems of trusses,” Nauchnye trudy Khar'kovsk. in-ta inzh. zhel.-dor. transporta, no. 65, 1963.

  32. A. I. Vinogradov, “On optimal distribution of forces in bar systems, and on properties of optimal systems,” The Second All-Union Conference on Theoretical and Applied Mechanics (Proceedings Notes) [in Russian], Moscow, 1964.

  33. A. I. Vinogradov, “On optimal distribution of forces in bar systems, and on properties of optimal systems,” Prikladnaya mekhanika, vol. 1, no. 1, 1965.

  34. A. I. Vinogradov, “On calculation algorithms and properties of optimal systems,” Proceedings of the Fourth All-Union Conference on the Use of Electronic Computers in Building Mechanics, Machine Construction and Building Production [in Russian], Kiev, 1965.

  35. A. I. Vinogradov, “Investigation of the cost function in the calculation of optimal systems,” collection: Investigations into Theory of Structures [in Russian], no. 14, Stroiizdat, Moscow, 1965.

    Google Scholar 

  36. A. I. Vinogradov, “On the problem concerning the algorithm of determining the least cost of bar systems,” Trudy Khar'kovsk. in-ta inzh. zhel.-dor. transporta, no. 81, 1966.

  37. A. I. Vinogradov, “Subsets of admissible structures in the theory of optimal bar systems,” Proceedings of All-Union Conference of Statics and Dynamics of Thin-Walled Three-Dimensional Structures [in Russian], Kiev, 1967.

  38. N. I. Voronkov, “Rational calculation of hingeless reinforced concrete arches,” Trudy Dnepropetrovsk. in-ta inzh. zhel.-dor. transporta, no. 21, 1951.

  39. I. D. Glikin, “Calculation of shallow prestressed constant strength systems,” Proceedings of the Fourth All-Union Conference on the Use of Electronic Computers in Building Mechanics, Machine Construction and Building Production [in Russian], Kiev, 1965.

  40. I. D. Glikin, “Use of the simplex method in calculating shallow prestressed suspension systems on electronic computers,” Proceedings of All-Union Conference on Statics and Dybamics of Thin-Walled Three-Dimensional Structures [in Russian], Kiev, 1967.

  41. K. N. Gopak, “The beam of maximum strength for the stability problem of plane mode of flexure,” Proceedings of the Fourth All-Union Conference on the Use of Electronic Computers in Building Mechanics, Machine construction, and Building Production [in Russian], Kiev, 1965.

  42. L. G. Dmitriev, “Synthesis of optimal bar systems (the generalized inverse problem),” Proceedings of the Fourth All-Union Conference on the Use of Electronic Computers in Building Mechanics, Machine Construction, and Building Production [in Russian], Kiev, 1965.

  43. O. P. Doroshenko, “Calculation of continuous beams with give stresses,” Collection of Scientific Works of Students of Khar'kov Institute of Engineers of Rail Transport [in Russian], no. 2, 1959.

  44. O. P. Doroshenko, “On the calculation of optimal combined systems,” The Second All-Union Conference on Theoretical and applied Mechanics (Proceedings Notes) [in Russian], Moscow, 1964.

  45. O. P. Doroshenko, “On the calculation of optimal systems,” Trudy Khar'kovsk. in-ta inzh. zhel.-dor. transporta, no. 74, 1965.

  46. O. P. Doroshenko, “On the calculation of optimal combined systems,” Trudy Khar'kovsk. in-ta inzh. zhel.-dor. transporta, no. 74, 1965.

  47. O. P. Doroshenko, “On the calculation of optimal combined systems on electronic digital computers,” Proceedings of the Fourth All-Union Conference on the Use of Electronic Computers in Building Mechanics, Machine Construction, and Building Production [in Russian], Kiev, 1965.

  48. O. P. Doroshenko, Problems of Calculating Optimal Combined Systems [in Russian], Candidate's dissertation, Khar'kov Institute of Engineers of Rail Transport, 1966.

  49. O. P. Doroshenko, “Finding optimal combined systems by methods of linear programming,” Proceedings of All-Union Conference on Statics and Dynamics of Thin-Walled Three-Dimensional Structures [in Russian], Kiev, 1967.

  50. E. M. Ermak, “problems of designing systems of least cost with predominant flexure,“ Proceedings of the First Scientific-Technical Conference of Postgraduate and Research Students of Khar'kov Institute of Engineers of Rail Transport [in Russian], 1965.

  51. E. M. Ermak, “A linear representation of the cost function and the optimal design of building structures,” Proceedings of All-Union Conference of Statics and Dynamics of Thin-Walled Three-Dimensional Structures [in Russian], Kiev, 1967.

  52. I. S. Zhitomirskii and A. A. Prister, “Algorithms and a standard program of designing individual reinforced concrete foundations under a column with a choice of an optimal solution,” Proceedings of the First All-Union Seminar on the Use of Digital Computers in Building Mechanics (Leningrad, 1963) [in Russian], Leningrad-Moscow, Stroiizdat, 1966.

    Google Scholar 

  53. I. S. Zhitomirskii and L. N. Tarasenko, “The choice of optimal parameters of the hearth pipes of systematic heating furnaces,” Proceedings of the Fourth All-Union Conference on the Use of Electronic Computers in Building Mechanics, Machine Construction, and Building Production [in Russian], Kiev, 1965.

  54. S. I. Zukhovitskii, “On approximating an inconsistent system of linear equations by the principle of minimizing the sum of moduli of all deviations,” DAN SSSR, vol. 143, no. 5 1962.

    Google Scholar 

  55. S. I. Zukhovitskii, “On a problem of piecewise linear programming,” Zhurnal vychisl. matem. i matem. fiziki, vol. 3, no. 3, 1963.

  56. A. V. Kasilov, “The calculation of pre-stressed suspension trusses with optimal cross sections of the webs,” Proceedings of the All-Union Conference on Statics and Dynamics of Thin-Walled Three-Dimensional Structures [in Russian], Kiev, 1967.

  57. V. L. Kirpichev, Redundant Unknowns in Structural Mechanics [in Russian], St. Petersburg, 1902.

  58. Yu. P. Kitov, “On least weight of complex frames,” Nauchn. trudy Khar'kovsk. in-ta inzh. zhel.-dor. transporta, no. 58, 1962.

  59. Yu. P. Kitov, “The use of topological diagrams in calculating frames on electronic computers,” Trudy Khar'kovsk. in-ta inzh. zhel.-dor. transporta, no. 65, 1963.

  60. Yu. P. Kitov, “Calculation of complex frames according to conditions of least weight,” The Second All-Union Conference on Theoretical and Applied Mechanics (Proceedings Notes) [in Russian], Moscow, 1964.

  61. Yu. P. Kitov, “The use of Digital Computers in Calculating Complex Frames and Certain Problems of Calculating Systems of Least Weight [in Russian], Candidate's dissertation, Khar'kov Institute of Engineos of Rail Transport, 1964.

  62. Yu. P. Kitov and G. G. Khlivnyak, “Use of digital computers in frame calculation,” Trudy Khar'kovsk. in-ta inzh. zhel.-dor. transporta, no. 74, 1965.

  63. Yu. P. Kitov, “An experiment of programming the calculation of complex frames for a Ural digital computer with the use of elements of topology,” Proceedings of the First All-Union Seminar on the Use of Digital Computers in Building Mechanics [in Russian], Stroiizdat, Leningrad-Moscow, 1966.

    Google Scholar 

  64. S. N. Kleikov, Prestressed Steel Trusses [in Russian], Candidate's dissertation, Kiev Engineering and Building Institute, 1958.

  65. S. N. Klepikov, “On calculating prestressed steel trusses,” Izv. vuzov, Stroitel'stvo i arkhitektura, no. 1, 1958.

  66. S. N. Klepikov, “Calculation of prestressed steel trusses,” Stroitel'naya promyshlennost, no. 7, 1958.

  67. Yu. N. Kuznetsov, A Bar with Constant Resistance to Longitudinal-Lateral Flexure [in Russian], Candidate's dissertation, Kiev Engineering and Building Institute, 1956.

  68. Yu. N. Kuznetsov, “Tensioned and longitudinally bent bars of minimum weight,” DAN URSR, no. 4, 1959.

  69. N. T. Kutsenko, “Calculation of statically indeterminate trusses of minimum cost of several loadings,” Proceedings of the First Scientific-Technical Conference of Post-graduate and Research Students of Khar'kov Institute of Engineers of Rail Transport [in Russian], 1965.

  70. N. T. Kutsenko, “On the calculation of statically indeterminate three-dimensional trusses of minimum cost,” Proceedings of the All-Union Conference on Statics and Dynamics of Thin-Walled Three-Dimensional Structures [in Russian], Kiev, 1956.

  71. A. G. Lyubimov, “Application of linear programming to the calculation of statically indeterminate trusses of least volume,” Proceedings of the First Scientific-Technical Conference of Postgraduate and Research Students of Khar'kov Institute of Engineers of Rail Transport [in Russian], 1965.

  72. A. S. Pal'chevskii, “Calculation of reinforced cylindrical shells of minimum weight under axial compression,” Proceedings of the All-Union Conference on Statics and Dynamics of Thin-Walled Three-Dimensional Structures [in Russian], Kiev, 1967.

  73. E. O. Paton, Design Coefficients and Weight Tables of Rail Bridges [in Russian], Kiev Polytechnic Institute, 1902.

  74. E. O. Paton, Weight of Iron Bridges for Rail and Road Transport [in Russian], Kiev Polytechnic Institute, 1903.

  75. I. M. Rabinovich, On the Theory of Statically Indeterminate Trusses [in Russian], Transzheldorizdat, Moscow, 1933.

    Google Scholar 

  76. V. M. Romanenko, “Determination of optimal dimensions of prestressed steel beams of variable cross section,” Sb. nauchn trudov Kievsk. inzh.-stroit. in-ta, no, 20, 1962.

  77. V. M. Ryabchenko, “An algorithm of choosing optimal parameters of thin-walled systems,” collection: Aircraft Construction and Air Fleet Engineering [in Russian], no. 5, Khar'kov University, 1966.

  78. V. M. Ryabchenko, “On finding framework setups in the synthesis of optimal thin-walled systems,” collection: Aircraft Construction and Air Fleet Engineering [in Russian], no. 6, Khar'kov University, 1966.

  79. V. M. Ryabchenko and L. A. Kolesnikov, “Use of digital computers for the calculation of optimal thin-walled systems,” Proceedings of the Fourth All-Union Conference on the Use of Electronic Computers in Building Mechanics, Machine Construction, and Building Production [in Russian], Kiev, 1965.

  80. G. N. Savin, and N. P. Fleishman, Plates and Shells with Stiffening Ribs [in Russian], Naukova dumka, Kiev, 1964.

    Google Scholar 

  81. V. S. Svida, “On forms of constant strength under simultaneous action of compression and flexure,” Vestnik inzhenerov i tekhnikov, no. 7, 1934.

  82. G. L. Semenets, “On the problem of calculating structures of volume on elastic supports,” Trudy Khar'kovsk. in-ta inzh. zhel.-dor. transporta, no. 74, 1965.

  83. G. L. Semenets, “The solution of the equations of least volume simultaneously with the equations of equilibrium by the method of successive approximation,” Trudy Khar'kovsk. in-ta inzh. zhel.-dor. transporta, no. 74, 1965.

  84. Yu. S. Sikorskii, “On the mode of equilibrium of strings of constant strength,” Prikl. matem. i mekh., vol. 1, no. 1, 1938.

  85. Yu. S. Sikorskii, “On the equilibrium of a catenary of constant strength on a surface of revolution,” Prikl. matem. i mekh., vol. 2, no. 1, 1938.

  86. Yu. S. Sikorskii, “On the form of a heavy string of constant, strength subjected to the action of vertical forces,” Prikl. matem. i mekh., vol. 2, no. 1, 1938.

  87. Yu. S. Sikorskii, “On heavy bars of constant flexural strength,” Vestnik inzhenerov i tekhnikov, no. 1, 1941.

  88. I. D. Snitko, Investigation of Blasting Systems with the Use of the Method of Given Stresses [in Russian], Candidate's dissertation, Dnepropetrovsk Institute of Engineers of Rail Transport, 1945.

  89. I. D. Snitko, “Calculation of combined systems of a beam with a flexible arch and a beam with a flexible chain,” Trudy Dnepropetr. in-ta inzh. zhel.-dor transporta, no. 21, 1951.

  90. I. D. Snitko, “On the problem of choosing rational dimensions of a beam with a flexible arch,” Trudy Dnepropetr. in-ta inzh. zhel.-dor. transporta, no. 23, 1953.

  91. S. P. Timoshenko, The History of the Science of Material Strength [Russian translation], Gostekhizdat, Moscow, 1957.

    Google Scholar 

  92. V. V. Trofimovich, “Calculation of the forces in pretensioned statically indeterminate suspension systems,” Prikladnaya mekhanika, vol. 2, no. 6 1966.

  93. A. A. Umanskii, A Special Course of Building Mechanics [in Russian], Part 1, Gostekhizdat, Kiev, 1935; Part 2, Stroiizdat, Moscow, 1940.

    Google Scholar 

  94. A. A. Umanskii and B. N. Gorbunov, “On the relation between the load, forces, and geometric elements in bar systems,” collection: Three-Dimensional and Plane Frames and Trusses [in Russian], Gosstroiizdat, Moscow, 1933.

    Google Scholar 

  95. S. P. Fesik, “On the least weight of once statically indeterminate frames,” Stroitel'naya mekhanika i raschet sooruzhenii, no. 1, 1961.

  96. S. P. Fesik, Problems of Calculating Statically Indeterminate Frames of Least Weight [in Russian], Candidate's dissertation, Khar'kov Engineering and Building Institute, 1961.

  97. S. P. Fesik, “On the question concerning the inverse problem of the theory of structures,” Nauchnye trudy Khar'kovsk. in-ta inzh. zhel.-dor. transporta, no. 58, 1962.

  98. S. P. Fesik, “On calculating frames of least weight under time-variable loads,” Nauchnye trudy Khar'kovsk. in-ta inzh. zhel.-dor. transporta, no. 58, 1962.

  99. S. P. Fesik, “On the best distribution of forces in statically indeterminate beams and frames with elements of constant cross section,” The Second All-Union Conference on Theoretical and Applied Mechanics (Proceedings Notes) [in Russian], Moscow, 1964.

  100. N. P. Fleishman, “Circular and annular plates of minimum weight,” collection: Strenth Calculations [in Russian], no. 8, Mashgiz, Moscow, 1962.

    Google Scholar 

  101. G. G. Khlivnyak, “On the problem of programming the calculation of optimal arch systems,” Proceedings of the First Scientific-Technical Conference of Postgraduate and Research Students of Khar'kov Institute of Engineers of Rail Transport [in Russian], 1965.

  102. G. G. Khlivnyak, “Programming of the calculation of rational hingeless arches on digital computers,” Proceedings of the First All-Union Seminar on the Use of Digital Computers in Building Mechanics [in Russian], Stroiizdat, Leningrad-Moscow, 1966.

    Google Scholar 

  103. I. S. Khrapovitskii, “Calculation and design of space frames of minimum weight,” Proceedings of the First Scientific-Technical Conference of Postgraduate and Research Students of Khar'kov Institute of Engineers of Rail Transport [in Russian], 1965.

  104. I. S. Khrapovitskii, “On calculating optimal space frames on digital computers,” Proceedings of the All-Union Conferences on Statics and Dynamics of Thin-Walled Three-Dimensional Structures [in Russian], Kiev, 1967.

  105. N. G. Chernenko, “Optimal forms of cross sections of systems with predominant flexure,” Proceedings of the First Scientific-Technical Conference of Postgraduate and Research Students of Khar'kov Institute of Engineers of Rail Transport [in Russian], 1965.

  106. N. G. Chernenko, “On an algorithm of calculating optimal plate-beam systems,” Proceedings of the All-Union Conference on Statics and Dynamics of Thin-Walled Three-Dimensional Structures [in Russian], Kiev, 1967.

  107. I. V. Shirko, “On the form of a constant strength plate,” Inzhenernyi zhurnal, vol. 5, no. 2, 1965.

  108. I. Ya. Shtaerman, “A constant strength bar in flexure,” Izv. Kievsk. politekhn, in-ta Kiev, 1928.

  109. G. N. Yakovlev, “On the problem concerning the calculation of hingeless symmetric bridge arches of large span,” Trudy Dnepropetr. in-ta inzh. zhel.-dor. transporta, no. 23, 1953.

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  1. Khar'kov Institute of Engineers of Rail Transport, Khar'kov, USSR

    A. I. Vinogradov & O. P. Dcroshenko

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  1. A. I. Vinogradov
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Prikladnaya Mekhanika, Vol. 3, No. 12, pp. 1–9, 1967

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Vinogradov, A.I., Dcroshenko, O.P. Investigation of optimal systems. Soviet Applied Mechanics 3, 1–7 (1967). https://doi.org/10.1007/BF00886223

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