Asymptotic analysis of high frequency modes in thin rods

被引：7

作者：

Irago, H ^{[1
]}

Kerdid, N

Viano, JM

机构：

[1] Univ Santiago de Compostela, Dept Matemat Aplicada, Santiago De Compostela 15706, Spain

[2] Univ Paris 06, Anal Numer Lab, F-75252 Paris 05, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1998年 / 326卷 / 10期

关键词：

D O I：

10.1016/S0764-4442(98)80238-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we show that a class of high frequency modes of the three-dimensional linearized elasticity system in a thin rod and their associated eigenfunctions converge, as the thickness of the rods goes to zero, and the limit model is a coupled one-dimensional problem giving the classical equations for torsion and stretching vibrations. (C) Academie des Sciences/Elsevier, Paris.

引用

页码：1255 / 1260

页数：6

共 50 条

[1] Asymptotic analysis of torsional and stretching modes of thin rods
Irago, H
Kerdid, N
Viaño, JM
QUARTERLY OF APPLIED MATHEMATICS, 2000, 58 (03) : 495 - 510
[2] Asymptotic analysis of high frequency modes for thin elastic plates
Kerdid, Nabil
AIMS MATHEMATICS, 2023, 8 (08): : 18618 - 18630
[3] Asymptotic analysis of high-frequency acoustic modes in rapidly rotating stars
Lignieres, F.
Georgeot, B.
ASTRONOMY & ASTROPHYSICS, 2009, 500 (03) : 1173 - 1192
[4] Asymptotic analysis and modeling of the jointing of a massive body with thin rods
Nazarov S.A.
Journal of Mathematical Sciences, 2005, 127 (5) : 2192 - 2262
[5] Asymptotic analysis of 3-D thin piezoelectric rods
Leugering, Guenter
Nazarov, Sergei A.
Slutskij, Andrey S.
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2014, 94 (06): : 529 - 550
[6] Asymptotic analysis of a bit brace shaped junction of thin rods
Leugering, Gunter
Nazarov, Sergei A.
Slutskij, A. S.
Taskinen, Jari
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2020, 100 (01):
[7] ASYMPTOTIC HIGH-FREQUENCY BEHAVIOR OF GUIDED INFRASONIC MODES IN ATMOSPHERE
KINNEY, WA
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1974, 56 : S2 - S2
[8] ASYMPTOTIC METHOD FOR CALCULATION OF THERMOELASTIC STRESSES IN THIN RODS
GALAKTIONOV, EV
TROPP, EA
IZVESTIYA AKADEMII NAUK SSSR SERIYA FIZICHESKAYA, 1976, 40 (07): : 1399 - 1406
[9] Asymptotic analysis of elastic curved rods
Vodak, Rostislav
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2007, 30 (01) : 43 - 75
[10] Asymptotic analysis of a junction of hyperelastic rods
Hernandez-Llanos, Pedro
ASYMPTOTIC ANALYSIS, 2022, 126 (3-4) : 303 - 322

← 1 2 3 4 5 →