DESIGN DERIVATIVES OF EIGENVALUES AND EIGENFUNCTIONS FOR SELF-ADJOINT DISTRIBUTED PARAMETER SYSTEMS.

被引：0

作者：

Reiss, Robert ^{[1
]}

机构：

[1] Howard Univ, Washington, DC, USA, Howard Univ, Washington, DC, USA

来源：

AIAA journal | 1986年 / 24卷 / 07期

关键词：

STRUCTURAL DESIGN - Optimization;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, analytic expressions are obtained for the design derivatives of eigenvalues and eigenfunctions of self-adjoint linear distributed parameter systems. Explicit treatment of boundary conditions is avoided by casting the eigenvalue equation into integral form. Results are expressed in terms of the linear operators defining the eigenvalue problem, and are therefore quite general. Sufficiency conditions appropriate to structural optimization of eigenvalues are obtained.

引用

页码：1169 / 1172

共 50 条

[41] DISTRIBUTION OF EIGENVALUES OF OPERATORS WHICH ARE NEARLY SELF-ADJOINT
MIKHAILETS, VA
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1981, 15 (01) : 62 - 64
[42] NONLINEAR PERTURBATION OF ISOLATED EIGENVALUES OF SELF-ADJOINT OPERATORS
BOHME, R
MATHEMATISCHE ZEITSCHRIFT, 1971, 123 (01) : 61 - &
[43] DERIVATIVES OF EIGENVALUES AND EIGENVECTORS IN NON-SELF-ADJOINT SYSTEMS
PLAUT, RH
HUSEYIN, K
AIAA JOURNAL, 1973, 11 (02) : 250 - 251
[44] Singular operator as a parameter of self-adjoint extensions
Koshmanenko, V
OPERATOR THEORY AND RELATED TOPICS, 2000, 118 : 205 - 223
[45] Variational principles for real eigenvalues of self-adjoint operator pencils
Paul Binding
David Eschwé
Heinz Langer
Integral Equations and Operator Theory, 2000, 38 : 190 - 206
[46] THE MINIMAXIMIN AND MAXIMINIMAX THEOREMS FOR EIGENVALUES OF SEMIBOUNDED SELF-ADJOINT OPERATORS
GRUBB, A
SHARMA, CS
PHYSICS LETTERS A, 1985, 110 (05) : 243 - 245
[47] Electromagnetic Steklov eigenvalues: existence and distribution in the self-adjoint case
Halla, Martin
RESEARCH IN THE MATHEMATICAL SCIENCES, 2023, 10 (02)
[48] GROWTH OF THE EIGENVALUES OF A SELF-ADJOINT ELLIPTIC OPERATOR IN AN UNBOUNDED DOMAIN
FLECKINGERPELLE, J
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1979, 288 (17): : 801 - 804
[49] Electromagnetic Steklov eigenvalues: existence and distribution in the self-adjoint case
Martin Halla
Research in the Mathematical Sciences, 2023, 10
[50] METHODS FOR COMPUTING LOWER BOUNDS TO EIGENVALUES OF SELF-ADJOINT OPERATORS
BEATTIE, C
GOERISCH, F
NUMERISCHE MATHEMATIK, 1995, 72 (02) : 143 - 172

← 1 2 3 4 5 →