The dynamics of thin-walled structures under nonstationary loads

International Applied Mechanics

Volumn 37, Issue 5, 2001, Pages 602-627

  Lugovoi, P Z ^a  

^a S P TIMOSHENKO INSTITUTE OF MECHANICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035324719     PISSN: 10637095     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1012356328902     Document Type: Review

References (111)

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24. 24. P. Z. Lugovoi, V. I. Gulyaev, Z. P. Lugovoi, and M. P. Lugovoi, A Bench for Determination of the Mechanical Action of Cutting Charges [in Russian], Declarative Patent No. 96114447 of 10.16.00, Byul. 5-11.
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29. 29. P. Z. Lugovoi, Z. P. Lugovoi, and V. F. Meish, "Additional g-loads in cylindrical modules," in: Yu. V. Kondratyuk's (O. G. Shargei's) Space and Earth Orbits [in Russian], Izd. Sich, Dnepropetrovsk (1996), pp. 371-374.
30. 30. P. Z. Lugovoi and V. F. Meish, "Stability of difference schemes in dynamic analysis of shells of revolution," Sopr. Mater. Teor. Sooruzh., Issue 45, 21-24 (1984).
31. 31. P. Z. Lugovoi and V. F. Meish, "Numerical solution of axisymmetric dynamic problems for cylindrical shells," Prikl. Mekh., 22, No. 2, 29-35 (1986).
32. 32. P. Z. Lugovoi and V. F. Meish, "Using the asymptotic method to solve a dynamic problem for shells," Prikl. Mekh., 23, No. 2, 38-44 (1987).
33. 33. P. Z. Lugovoi and V. F. Meish, "Application of the direct asymptotic expansion to the solution of dynamic problems of shell theory," Sopr. Mater. Teor. Sooruzh., Issue 51, 36-38 (1987).
34. 34. P. Z. Lugovoi and V. F. Meish, "Mathematical simulation of explosive chambers in impulse treatment of materials," in: Proc. 7th Int. Symp. on Using Explosive Energy to Produce Metallic Materials with New Properties [in Russian], Pardubice, (1988), pp. 523-529.
35. 35. P. Z. Lugovoi and V. F. Meish, "Dynamics of longitudinally reinforced cylindrical shells under impulsive loading," in: Dynamic Strength and Crack Resistance of Structural Materials [in Russian], KVTIU, Kiev (1988), pp. 140-145.
36. 36. P. Z. Lugovoi and V. F. Meish, "Nonaxisymmetric vibrations of a ribbed cylindrical shell with shear strains," Prikl. Mekh., 25, No. 5, 50-55 (1989).
37. 37. P. Z. Lugovoi and V. F. Meish, "Study of ribbed explosive chambers in impulse treatment of materials," Sopr. Mater. Teor. Sooruzh., Issue 54, 79-82 (1989).
38. 38. P. Z. Lugovoi and V. F. Meish, "Study of wave processes in discretely reinforced shells," Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 6, 51-54 (1990).
39. 39. P. Z. Lugovoi and V. F. Meish, "A reinforced cylindrical shell under a moving load," Sopr. Mater. Teor. Sooruzh., Issue 56, 79-83 (1990).
40. 40. P. Z. Lugovoi and V. F. Meish, "Axisymmetric vibrations of ribbed spherical shells with an opening under impulsive loads," Prikl. Mekh., 26, No. 5, 51-56 (1990).
41. 41. P. Z. Lugovoi and V. F. Meish, "Nonclassical study of nonstationary deformation of discretely reinforced plates and shells," Prikl. Mekh., 27, No. 8, 88-94 (1991).
42. 42. P. Z. Lugovoi and V. F. Meish, "Numerical simulation of the dynamic behavior of reinforced shells of revolution under a nonstationary action," Prikl. Mekh., 28, No. 1, 38-44 (1992).
43. 43. P. Z. Lugovoi and V. F. Meish, "Nonstationary behavior of rectangular plates with a unilateral discrete reinforcement," Sopr. Mater. Teor. Sooruzh., Issue 60, 109-110 (1992).
44. 44. P. Z. Lugovoi and V. F. Meish, "A refined model of discretely reinforced plates and shells under nonstationary loads," Studies in the Theory of Plates and Shells, Issue 25, 14-20 (1992).
45. 45. P. Z. Lugovoi and V. F. Meish, "Nonlinear deformation of compound reinforced structures under nonstationary loads," Dokl. AN Ukrainy, No. 3, 60-65 (1993).
46. 46. P. Z. Lugovoi and V. F. Meish, "The theory and solution of dynamic problems on the nonstationary behavior of cylindrical shells with discrete reinforcements of variable rigidity," Prikl. Mekh., 35, No. 6, 53-59 (1999).
47. 47. P. Z. Lugovoi and V. F. Meish, "Numerical simulation of the dynamic behavior and strength analysis of multilayer shells under pulse loading," Probl. Prochn., No. 4, 86-96 (2000).
48. 48. P. Z. Lugovoi, V. F. Meish, and S. Bogdanov, "Constructing difference schemes for the equations of motion of reinforced cylindrical shells with discontinuous coefficients," in: Boundary-Value Problems of Mathematical Physics, Naukova Dumka, Kiev (1990), 136-141.
49. 49. P. Z. Lugovoi, V. F. Meish, and S. Yu. Bogdanov, "Numerical solution of dynamic problems for ribbed shells," Vych. Prikl. Mat., Issue 74, 45-48 (1992).
50. 50. P. Z. Lugovoi, V. F. Meish, V. P. Mukoid et al., A Thermal Explosive Device [in Russian], Utility Patent of Russia No. 384 of 05.16.95.
51. 51. P. Z. Lugovoi, V. F. Meish, I. F. Larionov, and É. A. Shtantsel', "Use of the perturbation method in solving problems of ribbed plates," Sopr. Mater. Teor. Sooruzh., Issue 53, 24-29 (1988).
52. 52. P. Z. Lugovoi, V. F. Meish, and N. S. Remez, "The viscoelastoplastic behavior of reinforced shells under transient loading," Dop. NAN Ukrainy, No. 3, pp. 55-60 (2000).
53. 53. P. Z. Lugovoi, V. F. Meish, and M. V. Cherepina, "The dynamic behavior of a cylindrical structure with deformable partitions under impulsive loads," Prikl. Mekh., 30, No. 6, 25-32 (1994).
54. 54. P. Z. Lugovoi, G. I. Mel'nichenko, and V. I. Vetukhov, "Behavior of pipelines under impulsive loads," Sopr. Mater. Teor. Sooruzh., Issue 41, 47-50 (1982).
55. 55. P. Z. Lugovoi and V. P. Mukoid, "The response of a cylindrical shell with a liquid to impulse end excitation," Sopr. Mater. Teor. Sooruzh., Issue 49, 51-54 (1986).
56. 56. P. Z. Lugovoi and V. P. Mukoid, "Dynamics of a spherical shell with a cylindrical branch pipe under explosive loading," Prikl. Mekh., 29, No. 1, 54-61 (1993).
57. 57. P. Z. Lugovoi and V. P. Mukoid, "Nonstationary deformation of a cylindrical shell with an opening under an impulsive load," Prikl. Mekh., 29, No. 9, 84-91 (1993).
58. 58. P. Z. Lugovoi and V. P. Mukoid, "Nonstationary wave processes in an skewed plate under a suddenly applied load," Prikl. Mekh., 30, No. 12, 68-74 (1994).
59. 59. P. Z. Lugovoi and V. P. Mukoid, "Numerical integration of the equations of plane and axisymmetric problems of the dynamic theory of elasticity in complex domains," Prikl. Mekh., 31, No. 8, 53-60 (1995).
60. 60. P. Z. Lugovoi, V. P. Mukoid, and V. F. Meish, Designing Explosive Chambers [in Russian], Preprint, Inst. Probl. Prochn. AN Ukr. (1990).
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62. 62. P. Z. Lugovoi, V. P. Mukoid, and V. F. Meish, "Theoretical fundamentals of the design of explosive chambers," in: Proc. 10th Int. Conf. on High Energy Rate Fabrication, Ljubljana (1989), pp. 581-590.
63. 63. P. Z. Lugovoi, V. P. Mukoid, and F. M. Krasyuk, "Numerical analysis of the nonstationary dynamic behavior of an elastic shell under internal explosive loading," in: Nonlinear Boundary-Value Problems of Mathematical Physics and Their Applications [in Russian], Sb. Nauch. Tr. Inst. Mat. NANU, Kiev (1998), pp. 137-138.
64. 64. P. Z. Lugovoi and Yu. A. Pisarev, A Device for Recording Ground Deformation [in Russian], Inventor's Certificate No. 1363101 of 09.01.87.
65. 65. P. Z. Lugovoi and V. N. Chaban, "A shell structure under an impulsive load," Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 2, 36-38 (1983).
66. 66. P. Z. Lugovoi and V. N. Chaban, "Axisymmetric vibrations of shell systems under impulsive loading," Prikl. Mekh., 20, No. 6, 110-113 (1984).
67. 67. V. F. Meish, "Nonstationary deformation of ribbed tubes under nonaxisymmetric loads," in: Rock under Dynamic Loads [in Russian], Naukova Dumka, Kiev (1989), pp. 105-108.
68. 68. V. F. Meish, "Nonstationary behavior of a cylindrical shell with concentrated masses under a longitudinal impact," Dop. AN Ukrainy, No. 9, 84-89 (1991).
69. 69. V. F. Meish, "Nonstationary behavior of a reinforced conical shell under a suddenly applied load," in: Proc. 1st All-Union Conf. on Technological Problems of Strength of Load-Carrying Structures [in Russian], Zaporozhye (1991), pp. 149-154.
70. 70. V. F. Meish, "Geometrically and physically nonlinear deformation of reinforced cylindrical shells under nonstationary loading," Prikl. Mekh., 28, No. 2, 46-52 (1992).
71. 71. V. F. Meish, "Nonaxisymmetric wave processes in a reinforced cylindrical shell under a longitudinal impact," Prikl. Mekh., 28, No. 9, 55-62 (1992).
72. 72. V. F. Meish, "Nonlinear deformation of longitudinally reinforced orthotropic cylindrical shells under nonstationary loads," Mekh. Komp. Mater., 29, No. 2, 184-190 (1993).
73. 73. V. F. Meish, "The theory of rib-reinforced multilayer shells, revisited," Dop. AN Ukrainy, No. 6, 54-59 (1994).
74. 74. V. F. Meish, "Numerical simulation of the nonlinear deformation of two-layer plates and shells under nonstationary loads," Prikl. Mekh., 30, No. 7, 46-52 (1994).
75. 75. V. F. Meish, "Study of wave processes in shells and plates with allowance for shear and compressive strains," Mekh. Komp. Mater., 31, No. 6, 816-823 (1995).
76. 76. V. F. Meish, "Dynamic behavior of an orthotropic rectangular plate under a suddenly applied load," Prikl. Mekh., 32, No. 3, 73-79 (1996).
77. 77. V. F. Meish, "Numerical solution of two-dimensional dynamic problems of the geometrically nonlinear Timoshenko-type theory of discretely reinforced cylindrical shells," Prikl. Mekh., 33, No. 2, 61-67 (1997).
78. 78. V. F. Meish, "Nonaxisymmetric vibrations of isotropic cylindrical shells with shear and compressive strains," Prikl. Mekh., 33, No. 7, 36-42 (1997).
79. 79. V. F. Meish, "Mathematical simulation of the dynamic behavior of cylindrical shells with a longitudinal reinforcement of variable rigidity," in: Nonlinear Boundary-Value Problems of Mathematical Physics and Their Application [in Russian], Sb. Nauch. Tr. Inst. Mat. NANU, Kiev (1998), pp. 153-155.
80. 80. V. F. Meish, "Mathematical simulation of the dynamic behavior and strength analysis of multilayer shells under pulse loading," in: Proc. 3rd Sci. Sch. on Impulse Processes in Continuum Mechanics (September 6-10, 1999, Nikolaev) (1999), pp. 62-63.
81. 81. V. F. Meish and S. Yu. Bogdanov, "Numerical simulation of the behavior of reinforced cylindrical structures under impulsive loading," in: Theory and Practice of Perfection of the Blasting Technology [in Russian], Naukova Dumka, Kiev (1990), pp. 27-32.
82. 82. V. F. Meish and P. Z. Lugovoi, "Dynamics of a ribbed cylindrical shell under a short-term axisymmetric load," Prikl. Mekh., 25, No. 3, 21-24 (1989).
83. 83. V. F. Meish, A. P. Mukoed, and Yu. A. Khamrenko, "Dynamic behavior of a three-layer ellipsoidal shell of revolution under axisymmetric nonstationary loading," Visn. Kyiv. Univ, Ser. Fiz.-Mat. Nauky, Issue 3, 71-76 (1998).
84. 84. V. F. Meish, A. P. Mukoed, and É. A. Shtantsel', "Constructing a numerical algorithm for solving dynamic problems of the theory of cylindrical shells with reinforcements of variable rigidity," Visn. Kyiv. Univ, Ser. Fiz.-Mat. Nauky, Issue 3, 181-186 (1997).
85. 85. V. F. Meish, A. P. Mukoed, and É. A. Shtantsel', "Nonlinear deformation of cylindrical shells with reinforcements of variable rigidity under nonstationary loading," Visn. Kyiv. Univ, Ser. Fiz.-Mat. Nauky, Issue 2, 278-283 (1999).
86. 86. V. F. Meish, A. P. Mukoid, and C. É. Shtantsel', "Comparative analysis of the dynamic behavior of three-layer cylindrical shells with a nonuniform filler within the framework of applied theories," Visn. Kyiv. Univ, Ser. Fiz.-Mat. Nauky, Issue 3, 163-168 (2000).
87. 87. V. F. Meish and N. S. Remez, "Numerical simulation of internal explosive loading of a thick-walled cylindrical shell with a porous filler in an earth medium," in: Proc. 3rd Sci. Sch. on Impulse Processes in Continuum Mechanics [in Russian] (September, 6-10, 1999, Nikolaev), pp. 64-65.
88. 88. V. F. Meish, V. K. Stryuk, and L. V. Kot, "Nonstationary behavior of three-layer discretely reinforced shells of revolution under longitudinal impulsive loading," Visn. Kyiv. Univ, Ser. Fiz.-Mat. Nauky, No. 3, 171-175 (1999).
89. 89. V. P. Mukoid, A Method for Numerical Solution of Dynamic Problems for Shells and Plates in Curvilinear Nonorthogonal Coordinates [in Russian], Preprint, Inst. Probl. Prochn. AN USSR, Kiev (1989).
90. 90. V. P. Mukoid, "Diffraction of a coastal-blast wave by a cylindrical pipeline," in: Rock under Dynamic Loads [in Russian], Naukova Dumka, Kiev (1989), 93-95.
91. 91. V. P. Mukoid, "Nonstationary dynamic behavior of a rectangular plate with an opening under a suddenly applied load," Prikl. Mekh., 32, No. 4, 71-78 (1996).
92. 92. V. P. Mukoid, "One modification of the relations of the dynamic theory of elasticity in a nonorthogonal curvilinear coordinate system," Dop. NAN Ukrainy, No. 1, 75-79 (1997).
93. 93. V. P. Mukoid, "Dynamic strength of a disk with a central cylinder-conic opening,' Probl. Prochn., No. 2, 79-87 (1997).
94. 94. V. P. Mukoid, "One type of the relations of the dynamic Timoshenko-type theory of plates in a nonorthogonal coordinate system," Prikl. Mekh., 33, No. 11, 84-89 (1997).
95. 95. V. P. Mukoid, "Numerical simulation of the motion of a piston in a tube under a blast load," Prikl. Mekh., 34, No. 7, 84-89 (1998).
96. 96. V. P. Mukoid, "Nonstationary dynamic behavior of a gas-filled closed shell under internal explosive loading," Prikl. Mekh., 35, No. 3, 76-82 (1999).
97. 97. V. P. Mukoid and P. Z. Lugovoi, "Numerical study of the problem on propagation of an intensive water-hammer wave inside an elastic cylindrical shell," Prikl. Mekh., 22, No. 5, 42-47 (1986).
98. 98. V. P. Mukoid and P. Z. Lugovoi, "Transients in a hydroelastic system of finite cylindrical shells under impact excitation," Vych. Prikl. Mat., Issue 67, 62-66 (1989).
99. 99. M. O. Shul'ga, P. Z. Lugovoi, and V. F. Meish, "Vibrations of cylindrical rib-reinforced shells," Dop. NAN Ukrainy, No. 2, 56-61 (1994).
100. 100. N. A. Shul'ga, P. Z. Lugovoi, and V. F. Meish, "One type of the equations of motion of discretely reinforced cylindrical shells with shear and compressive strains," Prikl. Probl. Prochn. Plastichn.: Chisl. Model. Fiz.-Mekh. Prots., Issue 53, 100-104 (1995).
101. 101. M. O. Shul'ga and V. F. Meish, "Vibrations of isotropic cylindrical shells with linear and angular transverse strains," Dop. NAN Ukrainy, No. 12, 70-73 (1994).
102. 102. N. A. Shul'ga, V. F. Meish, and S. Yu. Bogdanov, "Study of nonstationary vibrations of reinforced shells by finite-difference methods," in: Proc. Sci. Conf. on Modern Stress Concentration Problems (June 21-25, 1998, Donetsk), pp. 269-273.
103. 103. M. O. Shul'ga, V. F. Meish, and Yu. A. Khamrenko, "The theory of nonstationary axisymmetric vibrations of three-layer shells of revolution," Dop. NAN Ukrainy, No. 9, 69-73 (1999).
104. 104. N. A. Shul'ga, V. F. Meish, and Yu. A. Khamrenko, "Nonstationary vibrations of three-layer cylindrical shells under axisymmetric loading," Prikl. Mekh., 35, No. 8, 3-9 (1999).
105. 105. P. Z. Lugovoi and V. F. Meish, "Allowance for geometrical nonlinearity in dynamic problems of the theory of discretely stiffened cylindrical shells under nonstationary loading," Int. Appl. Mech., 36, No. 4, 532-537 (2000).
106. 106. P. Z. Lugovoi, V. F. Meish, and V. P. Mukoid, "Nonstationary vibration of an inhomogeneous shell element under impact loading," in: Abstracts of Papers Read at the 1st European Solid Mechanics Conf. EUROMECH (Munchen, September 9-13, 1991), p. 141.
107. 107. P. Z. Lugovoi, V. F. Meish, and N. S. Remez, "Elastoplastic behavior of discrete strengthened shells under nonstationary loading," in: Proc. 6th Conf. SSTA (October 12-14, Gdansk-Jurata, Poland) (1998), pp. 189-190.
108. 108. P. Z. Lugovoi, V. F. Meish, and N. S. Remez, "Elastoviscoplastic behavior of ribbed cylindrical shells under nonstationary loading," in: Archives of Civil Engineering, XLVI, 3, 385-391 (2000).
109. 109. P. Z. Lugovoi, V. F. Meish, and N. S. Remez, "Viscoelastoplastic deformation of reinforced shells of revolution under nonstationary loading," Int. Appl. Mech., 36, No. 9, 1205-1211 (2000).
110. 110. V. F. Meish, "Mathematical simulation of dynamical behavior of cylindrical structures with variable stiffeners under nonstationary loading," in: Proc. 6th Conf. SSTA (October 12-14, Gdansk-Jurata (Poland) (1998), pp. 191-192.
111. 111. V. F. Meish, "Mathematical simulation of behavior of stiffened cylindrical shells under nonstationary loading," Proc. 14th Polish Conf. on Computer Methods in Mechanics (May 26-28, Rzeszow, Poland), Univ. Technol., Rzeszow (1999), p. 125.