Basic equations of the theory of thermoviscoelastic plates with distributed sensors and actuators

被引：1

作者：

Karnaukhova T.V. ^{[1
]}

Pyatetskaya E.V. ^{[2
]}

机构：

[1] National Technical University of Ukraine KPI, Kyiv 03056

[2] Taras Shevchenko National University, Kyiv 03127, 2 Glushkova St.

来源：

International Applied Mechanics | 2010年 / 46卷 / 1期

关键词：

active damping; circular plate; dissipative heating; resonant vibrations; sensors and actuators; variational methods; viscoelastic plate;

D O I：

10.1007/s10778-010-0284-6

中图分类号：

学科分类号：

摘要：

The basic equations of the theory of thermoviscoelastic thin-walled plates with piezoelectric sensors and actuators under monoharmonic mechanical and electric loading are derived using the Kirchhoff-Love hypotheses. The thermomechanical behavior of passive and piezoactive materials is described using the concept of complex characteristics. Methods of solving nonlinear problems of active damping of thermomechanical vibrations of plates with sensors and actuators are considered. The effect of dissipative heating on the damping of axisymmetric vibrations of a thermoviscoelastic solid circular plate is analyzed as an example © 2010 Springer Science+Business Media, Inc.

引用

页码：78 / 85

页数：7

共 14 条

[1] BASIC EQUATIONS OF THE THEORY OF THERMOVISCOELASTIC PLATES WITH DISTRIBUTED SENSORS AND ACTUATORS
Karnaukhova, T. V.
Pyatetskaya, E. V.
INTERNATIONAL APPLIED MECHANICS, 2010, 46 (01) : 78 - 85
[2] Basic equations for thermoviscoelastic plates with distributed actuators under monoharmonic loading
Karnaukhova T.V.
Pyatetskaya E.V.
Int. Appl. Mech., 2009, 2 (200-214): : 200 - 214
[3] Basic relations of the theory of thermoviscoelastic plates with distributed sensors
Karnaukhova T.V.
Pyatetskaya E.V.
International Applied Mechanics, 2009, 45 (06) : 660 - 669
[4] Resonant vibrations of a clamped thermoviscoelastic rectangular plate with sensors and actuators
Karnaukhova T.V.
Pyatetskaya E.V.
International Applied Mechanics, 2010, 46 (03) : 296 - 303
[5] RESONANT VIBRATIONS OF A HINGED THERMOVISCOELASTIC RECTANGULAR PLATE WITH SENSORS AND ACTUATORS
Karnaukhova, T. V.
Pyatetskaya, E. V.
INTERNATIONAL APPLIED MECHANICS, 2010, 46 (02) : 213 - 220
[6] Thermal failure of flexible rectangular viscoelastic plates with distributed sensors and actuators
V. G. Karnaukhov
T. V. Karnaukhova
O. McGillicuddy
Journal of Engineering Mathematics, 2013, 78 : 199 - 212
[7] Thermal failure of flexible rectangular viscoelastic plates with distributed sensors and actuators
Karnaukhov, V. G.
Karnaukhova, T. V.
McGillicuddy, O.
JOURNAL OF ENGINEERING MATHEMATICS, 2013, 78 (01) : 199 - 212
[8] Critical Electric Load on a Hinged Thermoviscoelastic Rectangular Plate with Piezoelectric Sensors and Actuators*
Karnaukhov, V. G.
Kozlov, V. I.
Karnaukhova, T. V.
INTERNATIONAL APPLIED MECHANICS, 2019, 55 (06) : 596 - 600
[9] Critical Electric Load on a Hinged Thermoviscoelastic Rectangular Plate with Piezoelectric Sensors and Actuators*
V. G. Karnaukhov
V. I. Kozlov
T. V. Karnaukhova
International Applied Mechanics, 2019, 55 : 596 - 600
[10] Stabilization of mechanical systems with distributed piezoelectric sensors and actuators
Tylikowski, A
Hetnarski, RB
SMART STRUCTURES AND MATERIALS 1998: MATHEMATICS AND CONTROL IN SMART STRUCTURES, 1998, 3323 : 346 - 356

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