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Computer modeling for investigating the stress-strainstate of beams with hybrid reinforcement

Vestnik MGSU 1/2014
  • Rakhmonov Ahmadzhon Dzhamoliddinovich - Volga State University of Technology (PGTU) postgraduate student, Department of Building Structures and Footings, Volga State University of Technology (PGTU), 3 Lenin sq., Yoshkar-Ola, 424000, Republic of Mari El, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Solovʹov Nikolai Pavlovich - Volga State University of Technology (PGTU) Candidate of Technical Sciences, Senior Lecturer, De- partment of Building Structures and Footings, Volga State University of Technology (PGTU), 3 Lenin sq., Yoshkar-Ola, 424000, Republic of Mari El, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Pozdeev Viktor Mikhailovich - Volga State University of Technology (PGTU) Candidate of Technical Sciences, Chair, Department of Building Structures and Footings, Volga State University of Technology (PGTU), 3 Lenin sq., Yoshkar-Ola, 424000, Republic of Mari El, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 187-195

In this article the operation of a continuous double-span beam with hybrid reinforcement, steel and composite reinforcement under the action of concentrated forces is considered. The nature of stress-strain state of structures is investigated with the help of computer modeling using a three-dimensional model. Five models of beams with different characteristics were studied. According to the results of numerical studies the data on the distribution of stresses and displacements in continuous beams was provided. The dependence of the stress-strain state on increasing the percentage of the top re- inforcement (composite) of fittings and change in the concrete class is determined and presented in the article. Currently, the interest in the use of composite reinforcement as a working reinforcement of concrete structures in Russia has increased significantly, which is reflected in the increase of the number of scientific and practical publications devoted to the study of the properties and use of composite materials in construction, as well as emerging draft documents for design of such structures. One of the proposals for basalt reinforcement application is to use it in bending elements with combined reinforcement. For theoretical justification of the proposed nature of reinforcement and improvement of the calculation method the authors conduct a study of stress-strain state of continuous beams with the use of modern computing systems. The software program LIRA is most often used compared to other programs representing strain-stress state analysis of concrete structures.

DOI: 10.22227/1997-0935.2014.1.187-195

References
  1. Stepanova V.F., Stepanov F.Yu. Nemetallicheskaya kompozitnaya armatura dlya betonnykh konstruktsiy [Non-metallic Composite Reinforcement for Concrete Structures]. Promyshlennoe i grazhdanskoe stroitel'stvo [Industrial and Civil Engineering]. 2013, no. 1, pp. 45—47.
  2. Zyuzin R.S. Konstruktivnye osobennosti armirovaniya betonnykh konstruktsiy korrozionnostoykoy nemetallicheskoy kompozitnoy armatury [Design Features of Concrete Structures Reinforcement Using Corrosion Resistant Nonmetallic Composite Reinforcement]. Beton i zhelezobeton [Concrete and Reinforced Concrete]. 2009, no. 5, pp. 9—11.
  3. Kiba I. Vtoroe rozhdenie kompozitnoy armatury [The Second Birth of Composite Reinforcement]. Stroitel'nye materialy, oborudovanie, tekhnologii XXI veka [Building Materials, Equipment, Technologies of the 21st Century]. 2013, no. 8 (175), pp. 28—29.
  4. Madatiyan S.A. Perspektivy razvitiya stal'noy i nemetallicheskoy armatury zhelezobetonnykh konstruktsiy [Prospects of the Development of Steel and Non-metallic Reinforcing of Concrete Structures]. Promyshlennoe i grazhdanskoe stroitel'stvo [Industrial and Civil Engineering]. 2002, no. 9, pp. 16—19.
  5. Rakhmonov A.D., Solov'ev N.P. Predlozheniya po primeneniyu kompozitnoy armatury v karkasakh zdaniy [Proposals on Composite Reinforcement Application in the Framework of Buildings]. Vestnik SiBADI [Proceedings of Siberian State Automobile and Highway Academy]. 2013, no. 5, pp. 69—74.
  6. Rakhmonov A.D., Solov'ev N.P. Patent RF 134965, MPK E04S 3/20 U1. Balka monolitnogo zhelezobetonnogo mezhduetazhnogo perekrytiya. Zayavitel' i patentoobladatel' Povolzhskiy gosudarstvennyy tekhnologicheskiy universitett. Zayav. 03.06.2013, opubl. 27.11.2013, Byul. ¹ 1 [RF Patent 134965, IPC E04S 3/20 U1. Monolithic Reinforced Concrete Beam of Floor Structure. Applicant and patentee Volga State University of Technology. Appl. 03.06.2013, published 27.11.2013, Bulletin no. 1]. 2 p.
  7. Zaikin V.G., Valuyskikh V.P. Regulirovanie usiliy v nerazreznykh konstruktsiyakh v sostave kompleksnogo rascheta PK LIRA [Regulation of Strains in Continuous Structures as Part of Complex Calculation Using Software LIRA]. Beton i zhelezobeton [Concrete and Reinforced Concrete]. 2011, no. 6, no. 13—15.
  8. Zaikin V.G. Primenenie metoda avtomatizirovannogo pereraspredeleniya usiliy komp'yuternogo rascheta dlya monolitnykh plit perekrytiy bezrigel'nogo karkasa [Application of the Method of Computer Aided Redistribution of Computer Calculation Efforts for Monolithic Floor Slabs of the Frame without Collar Beams]. Beton i zhelezobeton [Concrete and Reinforced Concrete]. 2013, no. 3, pp. 25—28.
  9. Rakhmonov A.D., Solov'ev N.P. Vliyanie kombinirovannogo armirovaniya na napryazhenno-deformirovannoe sostoyanie izgibaemykh zhelezobetonnykh elementov [Combined Influence of Reinforcement on Stress-strain State of Bending Reinforced Concrete Elements]. Trudy Povolzhskogo gosudarstvennogo tekhnologicheskogo universiteta: Ezhegodnaya nauchno-tekhnicheskaya konferentsiya professorskogo sostava, doktorantov, aspirantov i sotrudnikov PGTU [Works of the Volga State Technological University: Annual Scientific and Technical Conference of PGTU Professors, Doctoral Students, Postgraduate Students and Staff]. Yoshkar-Ola, 2013, pp. 271—276.
  10. Jankowaik I., Madaj A. Numerical Modelling of the Composite Concrete — Steel Beam Inter—layer Bond. 8th Conference of Composite Structures. Zielona Gora, 2008. pp. 131—148.
  11. Floros D., Ingason O.A. Modeling and Simulation of Reinforced Concrete Beams. Chalmers University of Technology, Sweden, 2013, 78 p.
  12. Belakhdar K. Nonlinear Finite Element Analysis of Reinforced Concrete Slab Strengthened With Shear Bolts. Jordan Journal of Civil Engineering. 2008, vol. 2, no 1, pp. 32—44.

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Numerical implementation of Voigt and Maxwell models for simulation of waves in the ground

Vestnik MGSU 11/2014
  • Sheshenin Sergey Vladimirovich - Moscow State University (MSU) Doctor of Physical and Mathematical Sciences, Professor, Department of Composite Mechanics, Moscow State University (MSU), 1 Leninskie Gory, Moscow, 119991, Russian Federation; +7 (495) 939-43-43; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Zakalyukina Irina Mikhaylovna - Moscow State University of Civil Engineering (MGSU) Candidate of Physical and Mathematical Sciences, Assosiate Professor, Department of Theoretical Mechanics and Aerodynamics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; +7 (499) 183-24-01; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Koval’ Sergey Vsevolodovich - 26 Central Research Institute, branch of 31 State Project Institute of Special Building (31 SPISB) Doctor of Technical Science, Ciief Research Worker, Department of Special Construction and Seismic Resistance, 26 Central Research Institute, branch of 31 State Project Institute of Special Building (31 SPISB), 19 Smolenskiy Bul’var, Moscow, 119121, Russian Federation; +7 (499) 241-2248; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 82-89

A lot of papers have been dedicated to simulation of dynamic processes in soil and underground structures. For example, some authors considered wave distribution in underground water pipes for creation of vibration monitoring system, others considered theoretical and algorithm aspects of efficient implementation of realistic seismic wave attenuation due to viscosity development with the help of Finite Difference Method, etc. The paper describes the numerical simulation, designed for simulation of the stress-strain state in the ground subjected to wave processes. We consider the ground with a concrete structure immersed in. The purpose of the work is the description of small vibrations in hard soil, which can nevertheless make undesirable impact on the objects in the ground or on the surface. Explicit Wilkins type scheme is used for time integration. It has proven to be successful, including the use in a well-known LS-DYNA code. As a result we created our own computer code based on the finite element method (FEM). An example of its practical usage is given.

DOI: 10.22227/1997-0935.2014.11.82-89

References
  1. Tsvetkov R.V., Shardakov I.N., Shestakov A.P. Analiz rasprostraneniya voln v podzemnykh gazoprovodakh primenitel’no k zadache proektirovaniya sistem monitoringa [Analysis of Wave Propagation in Underground Pipelines in Relation to Monitoring Systems Design]. Vychislitel’naya mekhanika sploshnykh sred [Computational Mechanics of Continuous Media]. 2013, vol. 6, no. 3, pp. 364—372. (In Russian).
  2. Kristek J., Moczo P. Seismic-Wave Propagation in Viscoelastic Media with Material Discontinuities: A 3D Fourth-Order Staggered-Grid Finite-Difference Modeling. Bulletin of the Seismological Society of America. 2003, vol. 93, no. 5, pp. 2273—2280. DOI: http://dx.doi.org/10.1785/0120030023.
  3. Kochetkov A. V., Poverennov E. Yu. Primenenie metoda kvaziravnomernykh setok pri reshenii dinamicheskikh zadach teorii uprugosti v neogranichennykh oblastyakh [Application of Quasi-uniform Nets Method in the Process of Solving the Dynamic Problems of the Elasticity Theory in Unbounded Domains]. Matematicheskoe modelirovanie [Mathematical Simulation]. 2007, no. 19, pp. 81–92. (In Russian).
  4. Glazova E.G., Kochetkov A.V., Krylov S.V. Chislennoye modelirovanie vzryvnykh protsessov v merzlom grunte [Numerical Simulation of Explosive Processes in Frozen Soil]. Izvestiya Rossiyskoy akademii nauk. Mekhanika tverdogo tela [News of the Russian Academy of Sciences. Solid Mechanics]. 2007, no. 6, pp. 128—136. (In Russian).
  5. Potapov A.P., Royz S.I., Petrov I.B. Modelirovanie volnovykh protsessov metodom sglazhennykh chastits (SPH) [Modeling of Wave Processes Using Smoothed Particle Hydrodynamics (SPH)]. Matematicheskoye modelirovaniye [Mathematical Modeling]. 2009, no. 7. Vol. 21. Pp. 20—28. (In Russian).
  6. Potapov A.P., Petrov I.B. Modelirovanie volnovykh protsessov pri vysokoskorostnykh soudareniyakh metodom sglazhennykh chastits (SPH) [Modeling of Wave Processes in High-Speed Collisions by Smoothed Particle Hydrodynamics (SPH)]. Vestnik Baltiyskogo federal'nogo universiteta im. I. Kanta [Proceedings of Immanuel Kant Baltic Federal University]. 2009, no. 10, pp. 5—20. (In Russian).
  7. Zamyshlyaev B.V., Evterev L.S. Modeli dinamicheskogo deformirovaniya i razrusheniya gruntovykh sred [Models of Soil Dynamic Deformation and Destruction]. Moscow, Nauka Publ., 1990, 215 p. (In Russian).
  8. Kiselev F., Sheshenin S.V. Modelirovanie kontakta podzemnykh sooruzheniy s uprugovyazkoplasticheskim gruntom [Modeling of Underground Structures Interaction with Elastic Ground]. Vestnik Moskovskogo universiteta. Seriya 1. Matematika i mekhanika [Proceedings of Moscow University. Series 1. Mathematics and Mechanics]. 2006, no. 3, pp. 61—65. (In Russian).
  9. Kondaurov V.I., Nikitin L.V. Teoreticheskie osnovy reologii geomaterialov [Theoretical Foundations of Rheology Theory for Geomaterials]. Moscow, Nauka Publ., 1990, 207 p. (In Russian).
  10. Rykov G.V., Skobeev A.M. Izmereniye napryazheniy v gruntakh pri kratkovremennykh nagruzkakh [Measurement of Stress in the Soil under Impulse Loadings]. Moscow, Nauka Publ., 1978, 168 p. (In Russian).
  11. Tukhvatullina A.V., Kantur O.V. Matematicheskie modeli deformirovaniya myagkikh gruntov [Mathematical Models of Soft Soil Deformation]. Sovershenstvovanie metodov rascheta i konstruktsiy podzemnykh sooruzheniy [Advancing Calculation Methods and Structures of Underground Constructions]. Moscow, 26 TSNII MO RF Publ., 2000. (In Russian).
  12. Del?pine N., Lenti L., Bonnet G., Semblat J.-F. Nonlinear Viscoelastic Wave Propagation: an Extension of Nearly Constant Attenuation Models. Jornal of Engineering Mechanics. 2009, vol. 135. Issue 11, pp. 1305—1314. DOI: http://dx.doi.org/10.1061/(ASCE)0733-9399(2009)135:11(1305).
  13. Morochnik V., Bardet J.P. Viscoelastic Approximation of Poroelastic Media for Wave Scattering Problems. Soil Dynamics and Earthquake Engineering. 1996, vol. 15, no. 5, pp. 337—346. http://dx.doi.org/10.1016/0267-7261(96)00002-4.
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  18. ?erveny V., P?en??k I. Plane Waves in Viscoelastic Anisotropic Media—I. Theory. Geophysical. Jornal International. 2005, vol.161, no. 1, pp. 197—212.
  19. Daley P.F., Krebes E.S. SH Wave Propagation in Viscoelastic Media. CREWES Research Report. 2003, vol. 15, pp.1—25.
  20. Radim C., Saenger E.H., Gurevich B. Pore Scale Numerical Modeling of Elastic Wave Dispersion and Attenuation in Periodic Systems of Alternating Solid and Viscous Fluid Layers. Journal of the Acoustical Society of America. 2006, vol. 120 (2), pp. 642—648. DOI: http://dx.doi.org/10.1121/1.2216687.

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