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Paimushin Vitaliy Nikolaevich

Publications in Math-Net.Ru

  1. Transformational model of deformation of a rod-strip with a section of double-sided fastening in a support element with specified displacements

    Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 8,  84–91
  2. Modeling of forced bending vibrations of a strip-bar with a fixed finite-length section under prescribed displacements of an elastic support element

    Prikl. Mekh. Tekh. Fiz., 66:4 (2025),  188–205
  3. Buckling modes and failure of test specimens from fiber-reinforced composites with a $\left[ {0^\circ } \right]_s$ layup under axial compression. Theory and experiment

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 167:2 (2025),  282–310
  4. Two variants of stating problems of mechanics of a rod-strip with a section of one-sided fixing of finite length on a rigid support element

    Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 11,  88–96
  5. The simplest transformation model of deformation of a rod-strip fixed on a double-sided support element through elastic interlayers

    Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 10,  98–106
  6. Transformation model of the dynamic deformation of an elongated cantilever plate mounted on an elastic support element

    Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 2,  91–99
  7. A refined model of dynamic deformation of a rod-strip with a fixed section of a finite length on one of the facial surfaces

    Prikl. Mekh. Tekh. Fiz., 65:1 (2024),  181–197
  8. Mathematical modeling of the dynamic deformation of a rod-strip fixed on a double-sided support element through elastic interlayers

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 166:3 (2024),  407–425
  9. Experimental and theoretical study on the failure of sandwich specimens with tabs under four-point bending

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 166:2 (2024),  200–219
  10. Refined transformational model of deformation of a rod-strip with a fixed section on one of the front surfaces

    Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 8,  78–86
  11. Mechanics of thin-walled structural elements with boundary front surfaces having fixed areas

    Prikl. Mekh. Tekh. Fiz., 64:2 (2023),  155–173
  12. Forced and parametric vibrations of a composite plate caused by its resonant bending vibrations

    Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 10,  86–94
  13. Mechanical plane problems of the straight beams with deformable protect fixed section of a finite length

    Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 3,  89–96
  14. Refined equations and buckling modes under four-point bending loading of the sandwich test specimen with composite facing layers and a transversely flexible core

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 164:4 (2022),  329–356
  15. About the causes of the bearing capacity loss of a composite beam under three-point bending

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 164:2-3 (2022),  221–243
  16. On a method for solving inelastic deformation problems of a laminated composite

    Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 6,  55–66
  17. Refined nonlinear deformation model of sandwich plates with composite facings and transversal-soft core

    Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 11,  93–100
  18. Determination of damping properties of an elongated plate with an integral damping coating on the base of studying complex eigenfrequencies

    Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 6,  48–64
  19. Refined orthotropic plate motion equations for acoustasticity problem statement

    Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 5,  62–73
  20. Complex eigenfrequencies and damping properties of an elongated plate with integral damping coating

    Prikl. Mekh. Tekh. Fiz., 61:4 (2020),  114–127
  21. Refined analytical solutions of the coupled problems on free and forced vibrations of a rectangular composite plate surrounded by acoustic media

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 162:2 (2020),  160–179
  22. On the regularities of behavior of an elastic-viscoplastic composite under cyclic loading

    Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 5,  83–91
  23. Flat internal buckling modes of fibrous composite elements under tension and compression at the micrometer and millimeter levels

    Prikl. Mekh. Tekh. Fiz., 60:3 (2019),  173–185
  24. Investigation of buckling modes of sandwich specimens with facing layers from $[0^\circ]_{s}$ fiber-reinforced plastic under axial compression

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 161:4 (2019),  569–590
  25. Tension and compression of flat $[\pm45^\circ]_{2s}$ specimens from fiber reinforced plastic: Numerical and experimental investigation of forming stresses and strains

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 161:1 (2019),  86–109
  26. Defining relations in mechanics of cross ply fiber reinforced plastics under short-term and long-term monoaxial load

    Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 6,  85–91
  27. Acoustic wave propagation through a plate fixed in a rigid frame using elastic interlayers and located between two barriers

    Prikl. Mekh. Tekh. Fiz., 59:4 (2018),  179–194
  28. Identification of parameters of short-time creep of plexiglas by means of studying decaying flexural oscillations of test samples

    Prikl. Mekh. Tekh. Fiz., 59:3 (2018),  155–168
  29. Non-uniformly scaled buckling modes of reinforcing elements in fiber reinforced plastic

    Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 9,  89–95
  30. Contact statement of mechanical problems of reinforced on a contour sandwich plates with transversal-soft core

    Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 1,  77–85
  31. Accounting for the frequency-dependent dynamic modulus of elasticity of duralumin in deformation problems

    Prikl. Mekh. Tekh. Fiz., 58:3 (2017),  163–177
  32. Experimental investigation of residual strain formation mechanisms in composite laminates under cycling loading

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 159:4 (2017),  473–492
  33. The axisymmetric problems of geometrically nonlinear deformation and stability of a sandwich cylindrical shell with contour reinforcing beams

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 159:4 (2017),  395–428
  34. Longitudinal and transverse bending on the cylindrical shape of a sandwich plate reinforced with absolutely rigid bodies in the front sections

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 159:2 (2017),  174–190
  35. Consistent equations of nonlinear rectilinear laminated bars theory in quadratic approximation

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 159:1 (2017),  75–87
  36. The interaction between the plane wave and the plate with limited height in soil

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 159:1 (2017),  64–74
  37. Refined geometrically nonlinear equations of motion for elongated rod-type plate

    Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 9,  84–89
  38. Static and dynamic buckling modes of spherical shells subjected to external pressure

    Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 4,  46–56
  39. Identification of the elastic and damping characteristics of carbonfiber reinforced plastic based on a study of damped flexural vibrations of test specimens

    Prikl. Mekh. Tekh. Fiz., 57:4 (2016),  170–181
  40. Theoretical-experimental method of determining the drag coefficient of a harmonically oscillating thin plate

    Prikl. Mekh. Tekh. Fiz., 57:2 (2016),  96–104
  41. Geometrically nonlinear problem of longitudinal and transverse bending of a sandwich plate with transversally soft core

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 158:4 (2016),  453–468
  42. On non-classical buckling mode and failure of composite laminated specimens under the three-point bending

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 158:3 (2016),  350–375
  43. Solvability of a physically and geometrically nonlinear problem of the theory of sandwich plates with transversal-soft core

    Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 10,  66–71
  44. On the interaction of composite plate having a vibration-absorbing covering with the acoustic wave

    Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 3,  75–82
  45. Identification of mechanical properties of fiber-reinforced composites

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157:4 (2015),  112–132
  46. Experimental determination of sound transmission loss indices of a rectangular plate with energy-absorbing coating

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157:1 (2015),  114–127
  47. On solving physically nonlinear equilibrium problems for sandwich plates with a transversely soft filler

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157:1 (2015),  15–24
  48. Relationships of the Timoshenko-type theory of thin shells with arbitrary displacements and strains

    Prikl. Mekh. Tekh. Fiz., 55:5 (2014),  135–149
  49. Theoretical and experimental determination of average elastic and strength properties of M-ribbed type folded cores

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 156:4 (2014),  60–86
  50. Mathematical modeling and experimental investigation of sound wave propagation through a deformable plate placed between two chambers

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 156:2 (2014),  102–119
  51. Study of the sound insulation properties of an absolutely rigid plate placed on deformable supporting elements between two obstacles

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 155:3 (2013),  126–141
  52. Refined Equations of Motion of Multilayered Shells with Transversely Soft Fillers under a Medium Bending

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 155:2 (2013),  167–183
  53. On a variant of the improved theory of ortotropic plates: nonclassical forms of free fluctuations

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154:4 (2012),  100–115
  54. Analytical solutions for the free vibration problem of a thin rectangular parallelepiped (plate) with free edges

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 152:4 (2010),  195–209
  55. Exact solutions of the problem of flexural and cross-section-shear buckling modes and free oscillations of the rectangular orthotropic plate with loose edges

    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 152:1 (2010),  181–198
  56. Об уравнениях непротиворечивого варианта геометрически нелинейной теории упругости в квадратичном приближении при малых деформациях

    Matem. Mod. Kraev. Zadachi, 1 (2007),  47–49
  57. Approximate analytic solutions of the problem of the plane forms of free oscillations of a rectangular plate with free edges

    Izv. Vyssh. Uchebn. Zaved. Mat., 2006, no. 10,  51–58
  58. Exact analytic solutions of the problem of the plane forms of free oscillations of a rectangular plate with free edges

    Izv. Vyssh. Uchebn. Zaved. Mat., 2006, no. 8,  54–62
  59. Исследование взаимодействия бетонного коллектора с сухими и водонасыщенными грунтами

    Matem. Mod. Kraev. Zadachi, 1 (2004),  37–39
  60. On the method of integrating matrices for systems of ordinary differential equations

    Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 7,  18–26
  61. On mathematical problems in the theory of multilayer shells with transversally soft fillings

    Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 4,  66–76
  62. On the method of integrating matrices for the solution of boundary value problems for fourth-order ordinary equations

    Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 10,  13–25
  63. Refined theory of the stability of three-layer structures (linearized equations of neutral equilibrium and elementary one-dimensional problems)

    Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 3,  15–24
  64. A refined statement of dynamic problems of sandwich shells with transversely soft core and a numerical-analytical method of their solution

    Prikl. Mekh. Tekh. Fiz., 36:4 (1995),  137–151
  65. Variational problems in the theory of three-layer shallow shells

    Differ. Uravn., 30:7 (1994),  1217–1221
  66. Refined theory of stability of three-layer constructions (Nonlinear equations of subcritical equilibrium of shells with transversal-soft aggregate)

    Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 11,  29–42
  67. The analytical-computational-experimental technique for determining of the critical loadings and free oscillation frequences of deforming solid bodies

    Dokl. Akad. Nauk, 330:1 (1993),  52–53
  68. Relations of the nonlinear theory of three-layered shells with layers of variable thickness

    Prikl. Mekh. Tekh. Fiz., 34:3 (1993),  120–128
  69. Formulations of the problem of continuous growth of elastic bodies

    Dokl. Akad. Nauk SSSR, 314:4 (1990),  813–816
  70. Decomposition and clustering methods for the development of multiprocessor computer-based systems for studying the mechanics of three-dimensional composite structure

    Dokl. Akad. Nauk SSSR, 310:3 (1990),  554–558
  71. О некоторых численных методах в задачах механики оболочек сложной геометрии

    Issled. Teor. Plastin i Obolochek, 20 (1990),  10–18
  72. К расчету анизотропных пластин и оболочек со сложным контуром

    Issled. Teor. Plastin i Obolochek, 19 (1985),  100–110
  73. Уравнения теории многослойных оболочек со слоями переменной толщины и их применение к задачам теории упругости в неканонических областях

    Issled. Teor. Plastin i Obolochek, 18:2 (1985),  54–65
  74. Нелинейное деформирование фрагмента оболочки вращения со сложным очертанием контура

    Issled. Teor. Plastin i Obolochek, 17:2 (1984),  45–55
  75. On variational methods for solving nonlinear three-dimensional problems of conjugation of deformable bodies

    Dokl. Akad. Nauk SSSR, 273:5 (1983),  1083–1086
  76. К нелинейной теории трехслойных оболочек со слоями переменной и сложной геометрии

    Issled. Teor. Plastin i Obolochek, 16 (1981),  29–36
  77. Об одной форме основных соотношений теории тонких оболочек сложной формы, пологих относительно поверхности отсчета

    Issled. Teor. Plastin i Obolochek, 15 (1980),  70–77


© Steklov Math. Inst. of RAS, 2026