 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
|
| << Previous article | Volume 53, Issue 3 / 2018 | Next article >> |
| M.V. Belubekyan and A.A. Sahakyan, "On the Localized Instability of the Free Edge of a Rectangular Plate Supported on Two Opposite Sides under Various Conditions for Securing the Fourth Side," Mech. Solids. 53 (3), 290-294 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
3 |
Pages |
290-294 |
| DOI |
10.3103/S0025654418070087 |
| Title |
On the Localized Instability of the Free Edge of a Rectangular Plate Supported on Two Opposite Sides under Various Conditions for Securing the Fourth Side |
| Author(s) |
M.V. Belubekyan (Institute of Mechanics of the National Academy of Sciences of the Republic of Armenia, pr. Marshala Bagramyana 24B, Erevan, 375019 Republic of Armeni, mbelubekyan@yahoo.com)
A.A. Sahakyan (Institute of Mechanics of the National Academy of Sciences of the Republic of Armenia, pr. Marshala Bagramyana 24B, Erevan, 375019 Republic of Armeni, areg.av.sahakyan@gmail.com) |
| Abstract |
The problem of stability of a rectangular plate, freely supported on two opposite sides, the third side of which is free, and the fourth side is either clamped or freely supported, is considered. The plate is compressed by the load applied on the free edge. For both cases of fixing the fourth side of the plate, conditions for the appearance of an instability localized in the vicinity of the free edge were obtained, both for the case of a conservative load and for the case of a tracking load. |
| Keywords |
stability, plate, localized instability, tracking load, conservative load |
| References |
| 1. | A. Yu. Ishlinskii,
"On a Limit Transition in the Theory of Stability of Elastic Rectilinear Plates,"
Dokl. Akad. Nauk SSSR
95 (3), 477-479 (1954)
[Soviet Phys. Dokl. (Engl. Transl.)]. |
| 2. | N. V. Banichuk and A. Yu. Ishlinskii,
"Some Special Features of Problems of the Stability and Vibrations of
Rectangular Plate,"
Prikl. Mat. Mekh.
59 (4), 620-625 (1995)
[J. Appl. Math. Mech. (Engl. Transl.)
59 (4), 593-597 (1995)]. |
| 3. | P. E. Tovstik,
Stability of Thin Shells. Asymptotic Methods
(Nauka, Moscow, 1995)
[in Russian]. |
| 4. | M. V. Belubekyan,
"Problems of Localized Buckling of a Plate,"
in "Questions of Optimal Control, Stability, and Strength of Mechanical Systems"
(EGU, Erevan, 1997),
pp. 95-99
[in Russian]. |
| 5. | M. V. Belubekyan and E. O. Chil-Akopyan,
"The Problems of the Localized Instability of the Plate with a Free Edge,"
Izv. Nats. Akad. Nauk Arm. Ser. Mekh.
57 (2), 34-49 (2004). |
| 6. | V. M. Belubekyan,
"Buckling Analysis of a Shell with Transverse Shear,"
Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela,
No. 2, 126-131 (2004)
[Mech. Solids. (Engl. Transl.)
39 (2), 99-103 (2004)]. |
| 7. | N. V. Banichuk and A. A. Barsuk,
"Localization of Eigenforms and Limit Transitions in Problems of the Stability
of Rectangular Plates,"
Prikl. Mat. Mekh.
72 (2), 302-307 (2008)
[J. Appl. Math. Mech. (Engl. Transl.)
72 (2), 192-196 (2008)]. |
| 8. | Yu. K. Konenkov,
"A Rayleigh-Type Flexural Wave,"
Akust. Zh.
6 (1), 124-126 (1960)
[Sov. Phys. Acoust. (Engl. Transl.)
6 (1), 122-123 (1960)]. |
| 9. | S. Adali,
"Stability of a Rectangular Plate under Nonconservative and Compressive Forces,"
Int. J. Solids Struct.
18 (12), 1043-1052 (1982). |
| 10. | R. Sharifian and V. Belubekyan,
"Stability of a Rectangular Plate Axially Compressed on Its Two Opposite Free Edges,"
ZAMM
92 (7), 558-564 (2012). |
| 11. | A. S. Volmir,
Stability of Deformable Systems
(Nauka, Moscow, 1967)
[in Russian]. |
| 12. | D. M. Poghosyan,
"The Non-Conservative Problem of Stability of Compressed Rectangular Plate,"
Izv. Nats. Akad. Nauk Arm. Ser. Mekh.
66 (2), 40-48 (2013). |
| 13. | M. V. Belubekyan and A. A. Sahakyan,
"Local Instability of Rectangular Plate under the Compressive Load at the Free Edge,"
in Proc. Int. School Conf. "Mechanics-2016," October 03-08, 2016, Tsakhkadzor, Armenia
(NUASA, Erevan, 2016),
pp. 43-46
[in Russian]. |
|
| Received |
18 December 2016 |
| Link to Fulltext |
|
| << Previous article | Volume 53, Issue 3 / 2018 | Next article >> |
|
 If you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter
|
|
Russian 
English