Inertial manifold for the motion of strongly damped nonlinear elastic beams

被引：0

作者：

Giselle Bianchi

Alfredo Marzocchi

机构：

[1] Dipartimento di Elettronica per l'Automazione,

[2] Università degli Studi di Brescia,undefined

[3] I-25124 Brescia,undefined

[4] Italy,undefined

[5] Dipartimento di Matematica,undefined

[6] Università Cattolica del S. Cuore,undefined

[7] I-25121 Brescia,undefined

[8] Italy,undefined

来源：

Nonlinear Differential Equations and Applications NoDEA | 1998年 / 5卷

关键词：

Hilbert Space; Vector Space; Numerical Estimate; Elastic Beam; Inertial Manifold;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a strongly damped semilinear equation arising in the theory of elastic beams. We prove the existence of an exponentially attracting finite-dimensional vector space in the Hilbert space of the solutions (a so-called inertial manifold), and provide some numerical estimates of the dimension of the manifold.

引用

页码：181 / 192

页数：11

共 50 条

[1] Inertial manifold for the motion of strongly damped nonlinear elastic beams
Bianchi, Giselle
Marzocchi, Alfredo
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 1998, 5 (02): : 181 - 192
[2] Decay rates of strongly damped infinite laminated beams
Bautista, G. J.
Cabanillas, V. R.
Potenciano-Machado, L.
Mendez, T. Quispe
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 536 (02)
[3] NONLINEAR DAMPED VIBRATION OF BEAMS WITH PERIODIC FORCING
COUNTRYMAN, M
KANNAN, R
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1992, 27 (01) : 75 - 83
[4] Inertial and elastic properties of general composite beams
Yu, Wenbin
COMPOSITE STRUCTURES, 2025, 352
[5] Nonlinear reflectivity of an inhomogeneous plasma in the strongly damped regime
Mounaix, P
Pesme, D
Casanova, M
PHYSICAL REVIEW E, 1997, 55 (04): : 4653 - 4664
[6] ATTRACTOR AND DIMENSION FOR STRONGLY DAMPED NONLINEAR WAVE EQUATION
周盛凡
Acta Mathematicae Applicatae Sinica(English Series), 2000, (03) : 266 - 273
[7] Attractor for a strongly damped lattice system with nonlinear damping
Li, Hongyan
Rui, Zhang
2018 IEEE 15TH INTERNATIONAL CONFERENCE ON E-BUSINESS ENGINEERING (ICEBE 2018), 2018, : 300 - 305
[8] ASYMPTOTIC BEHAVIOR OF STRONGLY DAMPED NONLINEAR BEAM EQUATIONS
Abdallah, Ahmed Y.
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2016, 46 (04) : 1071 - 1088
[9] Transitions from Strongly to Weakly Nonlinear Motions of Damped Nonlinear Oscillators
G. Salenger
A. F. Vakakis
Oleg Gendelman
Leonid Manevitch
Igor Andrianov
Nonlinear Dynamics, 1999, 20 : 99 - 114
[10] Transitions from strongly to weakly nonlinear motions of damped nonlinear oscillators
Salenger, G
Vakakis, AF
Gendelman, O
Manevitch, L
Andrianov, I
NONLINEAR DYNAMICS, 1999, 20 (02) : 99 - 114

← 1 2 3 4 5 →