BEDDINGS AND FOUNDATIONS, SUBTERRANEAN STRUCTURES. SOIL MECHANICS

Analysis of the properties of frame structures on elastic pliable foundation with sensitivity functions

Vestnik MGSU 7/2014
  • Dmitriev Gennadiy Nikiforovich - Chuvash State University (CSU) Candidate of Technical Sciences, Associate Professor, Department of Building Structures, Chuvash State University (CSU), 15 Moskovskiy pr., Cheboksary, 428015, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Shatovkin Semen Aleksandrovich - Chuvash State University (CSU) Postgraduate Student, Department of Building Structures, Chuvash State University (CSU), 15 Moskovskiy pr., Cheboksary, 428015, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 75-84

The authors modified classical dummy-unit load method by adding elastic pliable foundation in the computation scheme. System attributes (internal force and foundation settlements) were obtained in symbolic form. Sensitivity functions were computed as direct system attributes differential with respect to a specific parameter. The developed method analyzes the structures’ properties with pliable foundation with sensitivity functions on the entire set of parameters. Using the above method, we observed the properties of the three-bay single-storey flat frame, computed sensitivity coefficients of a relative difference foundation settlements and the maximum bending moment of design frame parameters. Structural analysis without considering pliable base corresponds to a model with incompressible foundation. Practically such grounds are rare. Pliable base leads to displacement of the foundations, which in turn changes the stress-strain state of structures. Calculation of foundation settlements as freestanding unrelated elements also leads to errors. In general, settlement of any foundation leads to additional forces in the elements of the entire system, and hence to additional settlement of the remaining foundations. This issue is especially important for frame structures with freestanding foundations, such as joint foundation settlements caused by the stiffness of the structural elements of the frame. Thus, the analysis of foundation and frame elements collaboration based on sensitivity functions helps to assess the impact of system parameters on its properties. Purposeful reduction of the design parameters of the frame elements reduced the relative differential foundation settlements from 0.00213 to 0.00197 and the maximum bending moment from 781.2 kN∙m to 738.6 kN∙m.

DOI: 10.22227/1997-0935.2014.7.75-84

References
  1. Andreev V.I., Barmenkova E.V., Matveeva A.V. O nelineynom effekte pri raschete konstruktsii i fundamenta s uchetom ikh sovmestnoy raboty [On Nonlinear Effects in Calculating Structures and Foundations with Consideration of their Collaboration]. Izvestiya vysshikh uchebnykh zavedeniy. Stroitel'stvo [News of Higher Educational Institutions. Construction]. 2010, no. 9, pp. 95—99.
  2. Morgun A.S., Met' I.N. Uchet pereraspredeleniya usiliy pri issledovanii napryazhenno-deformirovannogo sostoyaniya sovmestnoy raboty sistemy "osnovanie — fundament — sooruzhenie" [Accounting for Efforts’ Redistribution in the Study of Stress-Strain State of Collaboration System "Ground — Foundation — Structure"]. Nauchnye trudy Vinnitskogo natsional'nogo tekhnicheskogo universiteta [ScientificWorks of Vinnytsia National Technical University]. 2009, no. 2. Available at: http://praci.vntu.edu.ua/article/view/1091. Date of access: 2.05.2014.
  3. Ivanov M.L. Razrabotka i chislennaya realizatsiya matematicheskoy modeli prostranstvennoy sistemy «zdanie — fundament — osnovanie» [Development and Numerical Implementation of Mathematical Model of "Building — Foundation — Ground" Spatial System]. Intellektual'nye sistemy v proizvodstve [Intelligent Systems in Manufacturing]. 2011, no. 1, pp. 24—35.
  4. Gorodetskiy A.S., Batrak L.G., Gorodetskiy D.A., Laznyuk M.V., Yusipenko S.V. Raschet i proektirovanie vysotnykh zdaniy iz monolitnogo zhelezobetona [Calculation and Design of Reinforced Concrete High-Rise Buildings]. Kiev, Fakt Publ., 2004, 106 p.
  5. Perel'muter A.V., Slivker V.I. Raschetnye modeli sooruzheniy i vozmozhnost' ikh analiza [Design Structural Models and the Possibility of Their Analysis]. Kiev, Stal' Publ., 2002, 600 p.
  6. Gorodetskiy A.S., Evzerov I.D. Komp'yuternye modeli konstruktsiy [Computer Structural Models]. 2nd edition. Kiev, Fakt Publ., 2007, 394 p.
  7. Haug E.J., Arora J.S. Applied Optimal Design: Mechanical and Structural Systems. New York, John Wiley & Sons Inc., 1979, 506 p.
  8. Haug E.J., Choi K.K., Komkov V. Design Sensitivity Analysis of Structural Systems. Orlando, Academic Press, 1986, 381 p.
  9. Atrek E., Gallagher R.H., Ragsdell K.M., Zienkiewicz O.C. New Directions in Optimum Structural Design. Chichester, John Wiley & Sons Ltd., 1984, 750 p.
  10. Borisevich A.A. Obshchie uravneniya stroitel'noy mekhaniki i optimal'noe proektirovanie konstruktsiy [General Equations of Structural Mechanics and Optimum Structural Design]. Minsk, Dizain PRO Publ., 1998, 144 p.
  11. Gill P.E., Murray W., Wright M.H. Practical Optimization. Stanford, Academic Press, 1981, 401 p.
  12. Klepikov S.N. Raschet konstruktsiy na uprugom osnovanii [Calculation of Structures on Elastic Ground]. Kiev, Budivel'nik Publ., 1967, 183 p.
  13. Simvulidi I.A. Raschet inzhenernykh konstruktsiy na uprugom osnovanii [Calculation of Engineering Structures on Elastic Ground]. Moscow, Vysshaya shkola Publ., 1973, 431 p.
  14. Rozenvasser E.N., Yusupov R.M. Chuvstvitel'nost' sistem upravleniya [Control Systems Sensitivity]. Moscow, Nauka Publ., 1981, 464 p.
  15. Sage A.P., White C.C. Optimum Systems Control. New Jersey, Prentice-Hall, 1968, 562 p.

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