Accounting for Shear Deformation in the Problem of Vibrations and Dissipative Heating of Flexible Viscoelastic Structural Element with Piezoelectric Sensor and Actuator

Autor: I. F. Kirichok, S. Yu. Kruts, Y. A. Zhuk
Rok vydání: 2020
Předmět:
Zdroj: Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics ISBN: 9783030503017
DOI: 10.1007/978-3-030-50302-4_4
Popis: Statement of the problem on forced resonance vibration, active control and dissipative heating of flexible viscoelastic beam containing piezoelectric sensor and actuator with taking account for shear deformation and quadratic geometrical nonlinearity is elaborated on the base of coupled electro-thermomechanics theory. Procedure of numerical solution of the problem is developed as well. For the most energy intensive first bending mode of beam vibration, influence of mechanical end fixing conditions, heat exchange, shear deformation and accounting for geometrical nonlinearity onto frequency characteristics of maximum deflection amplitude, level of dissipative heating temperature and electric parameter of sensor are investigated under monoharmonic loading. Possibility of active damping of beam vibration by means of piezoactuator with making use of electric parameter of sensor is studied in the case of unknown loading amplitude.
Databáze: OpenAIRE