Modified Spline Collocation Method in the Problems of Thin Rectangular Viscoelastic Plate Vibrations

被引：1

作者：

Nedorezov, P. F. ^{[1
]}

Romakina, O. M. ^{[2
]}

Safonov, R. A. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Chair Math Theory Elast & Biomech, Saratov, Russia

[2] Saratov NG Chernyshevskii State Univ, Chair Comp Algebra & Theory Numbers, Saratov, Russia

来源：

IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA | 2010年 / 10卷 / 03期

关键词：

plate; bending; numerical solution; spline; discrete orthogonalization;

D O I：

10.18500/1816-9791-2010-10-3-59-64

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Numerical method for evaluation of critical frequencies during steady-state bending vibrations of viscoelastic plate is presented. The solution is based on applying modified spline collocation method for lowering the problem's dimension and numerical solving of the obtained problem via discrete orthogonalization method. The application of this approach with different boundary conditions is examined in detail.

引用

页码：59 / 64

页数：6

共 50 条

[1] Application of a Spline-Collocation Method to the Problems of Thick Viscoelastic Plate-Strip Vibrations
Nedorezov, P. F.
[J]. IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2006, 6 (01): : 58 - 66
[2] Spline-Collocation Method and its Modification in the Problems of Static Bending of Thin Orthotropic Rectangular Plate
Romakina, O. M.
Shevtsova, Yu, V
[J]. IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2010, 10 (01): : 78 - 82
[3] Resonant vibrations of a hinged viscoelastic rectangular plate
Karnaukhova T.V.
Pyatetskaya E.V.
[J]. International Applied Mechanics, 2009, 45 (07) : 762 - 771
[4] Resonant vibrations of a clamped viscoelastic rectangular plate
Karnaukhova T.V.
Pyatetskaya E.V.
[J]. International Applied Mechanics, 2009, 45 (08) : 904 - 916
[5] On the numerical solution of nonlinear integral equations on non-rectangular domains utilizing thin plate spline collocation method
Pouria Assari
Mehdi Dehghan
[J]. Proceedings - Mathematical Sciences, 2019, 129
[6] On the numerical solution of nonlinear integral equations on non-rectangular domains utilizing thin plate spline collocation method
Assari, Pouria
Dehghan, Mehdi
[J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2019, 129 (05):
[7] Selected Problems of Random Free Vibrations of Rectangular Thin Plates with Viscoelastic Dampers
Kaminski, Marcin
Lenartowicz, Agnieszka
Guminiak, Michal
Przychodzki, Maciej
[J]. MATERIALS, 2022, 15 (19)
[8] FREE-VIBRATIONS OF A RECTANGULAR PLATE WITH VISCOELASTIC STIFFENERS
SAITO, H
YAMAGUCHI, H
[J]. BULLETIN OF THE JSME-JAPAN SOCIETY OF MECHANICAL ENGINEERS, 1980, 23 (185): : 1865 - 1871
[9] FREE-VIBRATIONS OF A THIN RECTANGULAR PLATE
POPOV, VA
[J]. JOURNAL OF ELASTICITY, 1993, 30 (02) : 107 - 121
[10] Anisotropic thin plate bending problems by Trefftz boundary collocation method
Dong, CY
Lo, SH
Cheung, YK
Lee, KY
[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2004, 28 (09) : 1017 - 1024

← 1 2 3 4 5 →