Boundary observability of elastic vibrations in a system of sequentially connected strings

被引：0

作者：

Egorov, A. I. ^{[1
]}

Znamenskaya, L. N. ^{[1
]}

机构：

[1] Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Moscow Oblast, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2012年 / 52卷 / 09期

基金：

俄罗斯基础研究基金会;

关键词：

system with distributed and lumped parameters; wave equation; observability of elastic vibrations; CONTROLLABILITY; OBJECTS;

D O I：

10.1134/S0965542512070056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The observability problem for the elastic vibrations of a system consisting of sequentially connected objects with distributed parameters is solved. An object with lumped parameters is connected to the system. The initial state of the system is recovered from observations on its boundary and at the connection point of the objects with distributed and lumped parameters.

引用

页码：1233 / 1238

页数：6

共 50 条

[41] TRANSIENT TORSIONAL VIBRATIONS OF A RIGID MASS CONNECTED TO AN ELASTIC HALF-SPACE BY AN ELASTIC CIRCULAR ROD
WADA, H
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 1981, 23 (05) : 285 - 295
[42] FORCED TORSIONAL VIBRATIONS OF A CYLINDRICAL ROD CONNECTED TO AN ELASTIC HALF-SPACE
WADA, H
JOURNAL OF SOUND AND VIBRATION, 1979, 66 (02) : 265 - 275
[43] Theoretical Analysis of Vibrations of a Mass Connected with a Support Through a Chain of Elastic Elements
Marcinkevicius, A. H.
MECHATRONIC SYSTEMS AND MATERIALS: MECHATRONIC SYSTEMS AND ROBOTICS, 2010, 164 : 303 - 307
[44] Internal and boundary observability estimates for the heterogeneous Maxwell's system
Nicaise, Serge
Pignotti, Cristina
APPLIED MATHEMATICS AND OPTIMIZATION, 2006, 54 (01): : 47 - 70
[45] Uniform boundary observability for the spectral collocation of the linear elasticity system
Boumimez, Somia
Castro, Carlos
REVISTA MATEMATICA COMPLUTENSE, 2025,
[46] Linear superposition of chaotic and orderly vibrations on two serially connected strings with a Van der Pol joint
Chen, GO
Zhou, JX
Hsu, SB
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1996, 6 (08): : 1509 - 1527
[47] Variational principles for a double Rayleigh beam system undergoing vibrations and connected by a nonlinear Winkler-Pasternak elastic layer
Adali, Sarp
NONLINEAR ENGINEERING - MODELING AND APPLICATION, 2023, 12 (01):
[48] Internal and Boundary Observability Estimates for the Heterogeneous Maxwell's System
Serge Nicaise
Cristina Pignotti
Applied Mathematics and Optimization, 2006, 54 : 47 - 70
[49] Exact boundary controllability and exact boundary observability for a coupled system of quasilinear wave equations
Hu, Long
Ji, Fanqiong
Wang, Ke
CHINESE ANNALS OF MATHEMATICS SERIES B, 2013, 34 (04) : 479 - 490
[50] Exact boundary controllability and exact boundary observability for a coupled system of quasilinear wave equations
Long Hu
Fanqiong Ji
Ke Wang
Chinese Annals of Mathematics, Series B, 2013, 34 : 479 - 490

← 1 2 3 4 5 →