Isospectral vibrating systems, part 2: Structure preserving transformations

被引：14

作者：

Prells, Uwe ^{[1
]}

Lancaster, Peter ^{[2
]}

机构：

[1] Univ Nottingham, Sch Mech Mat Mfg Engn & Management, Nottingham NG7 2RD, England

[2] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

来源：

OPERATOR THEORY AND INDEFINITE INNER PRODUCT SPACES | 2006年 / 163卷

基金：

英国工程与自然科学研究理事会; 加拿大自然科学与工程研究理事会;

关键词：

vibrating systems; inverse problems; damping;

D O I：

10.1007/3-7643-7516-7_12

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The study of inverse problems for n x n-systems of the form L(lambda) := M lambda(2) + D lambda + K is continued. In this paper it is assumed that one vibrating system is specified and the objective is to generate isospectral families of systems, i.e., systems which reproduce precisely the eigenvalues of the given system together with their multiplicities. Two central ideas are developed and used, namely, standard triples of matrices, and structure preserving transformations.

引用

页码：275 / +

页数：3

共 50 条

[31] A generic method for measuring the potential number of structure-preserving transformations
Neuman, Yair
Cohen, Yohai
Bekerman, Zvi
Nave, Ophir
COMPLEXITY, 2012, 18 (01) : 26 - 37
[32] On normal and structured matrices under unitary structure-preserving transformations
Kovac, Erna Begovic
Fassbender, Heike
Saltenberger, Philip
LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 608 : 322 - 342
[33] INFINITE ELEMENTARY DIVISOR STRUCTURE-PRESERVING TRANSFORMATIONS FOR POLYNOMIAL MATRICES
Karampetakis, Nicholas P.
Vologiannidis, Stavros
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2003, 13 (04) : 493 - 503
[34] Structure-preserving transformations in pattern-driven groupware development
Schuemmer, Till
Lukosch, Stephan
INTERNATIONAL JOURNAL OF COMPUTER APPLICATIONS IN TECHNOLOGY, 2006, 25 (2-3) : 155 - 166
[35] ISOSPECTRAL HAMILTONIANS FROM INVERSE SCATTERING .2. TRANSFORMATIONS AND SINGULAR-SOLITON POTENTIALS
KONG, OCW
FUNG, PCW
INVERSE PROBLEMS, 1989, 5 (05) : 799 - 815
[36] STRUCTURE-PRESERVING ALGORITHMS FOR DYNAMICAL SYSTEMS
Geng Sun (Institute of Mathematic
JournalofComputationalMathematics, 2002, (06) : 619 - 626
[37] Structure-preserving algorithms for Birkhoffian systems
Kong, Xinlei
Wu, Huibin
Mei, Fengxiang
JOURNAL OF GEOMETRY AND PHYSICS, 2012, 62 (05) : 1157 - 1166
[38] Energy preserving schemes for nonlinear Hamiltonian systems of wave equations: Application to the vibrating piano string
Chabassier, J.
Joly, P.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, 199 (45-48) : 2779 - 2795
[39] Structure-preserving algorithms for Birkhoffian systems
Sun, YJ
Shang, ZJ
PHYSICS LETTERS A, 2005, 336 (4-5) : 358 - 369
[40] Integration of Hamiltonian systems with a structure preserving algorithm
Rahrovani, S.
Abrahamsson, T.
Modin, K.
PROCEEDINGS OF INTERNATIONAL CONFERENCE ON NOISE AND VIBRATION ENGINEERING (ISMA2014) AND INTERNATIONAL CONFERENCE ON UNCERTAINTY IN STRUCTURAL DYNAMICS (USD2014), 2014, : 2915 - 2929

← 1 2 3 4 5 →