Longitudinal vibrations of a bar in memoriam to Professor Luiz Adauto Medeiros

被引：0

作者：

Miranda, M. Milla ^{[1
]}

Louredo, Aldo T. ^{[2
]}

Batista, Adriano A. ^{[3
]}

机构：

[1] Univ Fed Rio de Janeiro, Inst Matemat, Rio De Janeiro, Brazil

[2] Rua Baraunas,351 Bairro Univ, BR-58429500 Campina Grande, PB, Brazil

[3] Univ Fed Campina Grande, Dept Fis, Campina Grande, Brazil

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2024年 / 47卷 / 14期

关键词：

existence of global solutions; mathematical model; nonlinear internal dissipation;

D O I：

10.1002/mma.10140

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the deduction of a mathematical model for the small longitudinal vibrations of a bar where one end is clamped and in the other end is glued a concentrated mass. The existence of global solutions of this model perturbed with a general nonlinear internal dissipation and with a general nonlinear boundary dissipation is derived. For a particular case, the exponential decay rate of the energy is obtained.

引用

页码：11511 / 11529

页数：19

共 28 条

[1] BOUNDARY EXACT CONTROLLABILITY FOR THE LONGITUDINAL VIBRATIONS OF A BAR IN MEMORIAM TO PROFESSOR LUIZ ADAUTO MEDEIROS
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EVOLUTION EQUATIONS AND CONTROL THEORY, 2023, 12 (06): : 1527 - 1541
[2] Hierarchical Control for the Oldroyd Equation in Memoriam to Professor Luiz Adauto Medeiros
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ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, 2024, 96
[3] Professor Luiz Alcides Manreza IN MEMORIAM
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ARQUIVOS DE NEURO-PSIQUIATRIA, 2012, 70 (06) : 477 - 477
[4] Longitudinal vibrations of a bar with incipient transverse cracks
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Mechanics of Solids, 2017, 52 : 18 - 24
[5] Longitudinal Vibrations of Seismic Disturbance Vertical Bar
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PROCEEDINGS OF THE INTERNATIONAL SYMPOSIUM ENGINEERING AND EARTH SCIENCES: APPLIED AND FUNDAMENTAL RESEARCH (ISEES 2018), 2018, 177 : 515 - 520
[6] Longitudinal Vibrations of a Bar with Incipient Transverse Cracks
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MECHANICS OF SOLIDS, 2017, 52 (01) : 18 - 24
[7] In Memoriam Professor Judit Bar-Ilan 1958–2019
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JournalofDataandInformationScience, 2019, 4 (03) : 96 - 97
[8] In Memoriam Professor Judit Bar-Ilan 1958–2019
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Journal of Data and Information Science, 2019, (03) : 96 - 97
[9] THE EFFECT OF AN ARBITRARILY LOCATED MASS ON THE LONGITUDINAL VIBRATIONS OF A BAR
CUTCHINS, MA
JOURNAL OF SOUND AND VIBRATION, 1980, 73 (02) : 185 - 193
[10] FREE AND FORCED LONGITUDINAL VIBRATIONS OF A CANTILEVERED BAR WITH A CRACK
COLLINS, KR
PLAUT, RH
WAUER, J
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 1992, 114 (02): : 171 - 177

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