Resonant vibrations of a hinged viscoelastic rectangular plate

被引：4
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 | 2009年 / 45卷 / 07期
关键词：
Bubnov-Galerkin method; Dissipative heating temperature; Hinged thermoviscoelastic rectangular plate; Sensor dimensions; Sensor reading; Variational method;
D O I：
10.1007/s10778-009-0218-3
中图分类号：
学科分类号：
摘要：
The paper examines the effect of dissipative heating on the performance of a sensor in a hinged thermoviscoelastic rectangular plate undergoing resonant flexural vibrations. The thermoviscoelastic behavior of materials is described using the concept of complex characteristics. The coupling of the electromechanical and thermal fields is taken into account. The nonlinear problem is solved by the variational and Bubnov-Galerkin methods. The effect of the dissipative-heating temperature and the dimensions of the sensor on its performance during resonant vibrations of the plate is analyzed. © 2009 Springer Science+Business Media, Inc.
引用
收藏
页码：762 / 771
页数：9
相关论文
共 17 条
  • [1] Karnaukhov V.G., Thermal failure of polymeric structural elements under monoharmonic deformation, International Applied Mechanics, 40, 6, pp. 622-655, (2004)
  • [2] Karnaukhov V.G., Mikhailenko V.V., Nonlinear Thermomechanics of Piezoelectric Bodies under Monoharmonic Loading, (2005)
  • [3] Karnaukhova T.V., Pyatetskaya E.V., Basic equations for thermoviscoelastic plates with distributed actuators under monoharmonic loading, Int. Appl. Mech., 45, 2, pp. 200-214, (2009)
  • [4] Karnaukhova T.V., Pyatetskaya E.V., Damping the resonant flexural vibration of a hinged plate with actuators, Int. Appl. Mech., 45, 4, pp. 448-456, (2009)
  • [5] Karnaukhova T.V., Pyatetskaya E.V., Damping the flexural vibration of a clamped viscoelastic rectangular plate with piezoelectric actuators, Int. Appl. Mech., 45, 5, pp. 546-557, (2009)
  • [6] Karnaukhova T.V., Pyatetskaya E.V., Basic relations of the theory of thermoviscoelastic plates with distributed sensors, Int. Appl. Mech., 45, 6, pp. 660-669, (2009)
  • [7] Kirichok I.F., Pyatetskaya E.V., Karnaukhov M.V., Bending vibrations and dissipative heating of a circular viscoelastc plate with piezoelectric actuators under electromechanical monoharmonic loading, Visn. Kyiv. Univ., Ser. Fiz. Mat. Nauky, 2, pp. 84-92, (2006)
  • [8] Kirichok I.F., Flexural vibrations and vibrational heating of a ring plate with thin piezoceramic pads under single-frequency electromechanical loading, Int. Appl. Mech., 44, 2, pp. 200-207, (2008)
  • [9] Kirichok I.F., Karnaukhov M.V., Monoharmonic vibrations and vibrational heating of an electromechanically loaded circular plate with piezoelectric actuators subject to shear strain, Int. Appl. Mech., 44, 9, pp. 1041-1049, (2008)
  • [10] Physical acoustics, Principles and Methods, 2, (1965)
12