Formulation of the problem of thermomechanics for a flexible cylindrical shell with piezoactive layers with taking into account to displacements
The formulation of problem on the forced resonant vibration and dissipative heating of layered element of structure containing both piezoelectric and electrically passive layers is considered. The improved problem statement taking account of both shear strain and rotatory inertia as well as geometrical nonlinearity is developed. Particular statement of the problem of axisymmetric vibration and dissipative heating of three layer cylidrical shell is formulated. It is assumed that the core layer of the shell is composed of the electrically passive material while the outer layers are manufactured from the piezoceramics. Theory of coupled thermo-electro-viscoelasticity is used to derive the problem statement in the case of monoharmonic loading. Within this theory, the concept of complex-value modulae is applied to formulate the relations between main field characteristics. It is also supposed that the piezo-active material characteristics do not depend on the temperature. Then the coupled problem is reduced to the problem of mechanics on the forced nonlinear vibrations and dissipative heating of the layered plate. Complete set of complex analogs of motion equations, geometric equations and constitutive relations was used to derive the resolving system of equations. Numerical method to attack this nonlinear system of ordinary differential equations supplemented with necessary boundary conditions is developed.
Key words: cylindrical shell,resonated vibration, dissipative heating, piezoelectric sensors.
Pages of the article in the issue: 78-81
Language of the article: Ukrainian
KARNAUHOV V., KIRICHOK I. (1986) Svyazannye zadachy teoryy vyazkouprugih plastin i obolochek. Kiev: Nauk.dumka.
KARNAUHOV V., MYHAJLENKO V. (2005) Nelynejnaya termomexanika piezoelektrycheskyh neuprugyh tel pry monogarmonycheskom nagruzhenii. Zhytomyr: ZhGTU.
KIRICHOK, I. & ZHUK, Y. & KARNAUHOVA T. (2016) Radialni kolyvannya i vibrorozigriv zamknutoyi sferychnoyi obolonky z fizychno nelinijnogo v'yazkopruzhnogo materialu ta yih dempfuvannya p'yezoelektrychnymy sensorom i aktuatorom. Visnyk Kyivs’kogo nacional’nogo universytetu imeni Tarasa Shevchenka. Seriya: Fizyko-matematychni nauky. 1. p.59–64.
KIRICHOK I. F. (2011) Control of axisymmetric resonant vibrations and selfheating of shells of revolution with piezoelectric sensors and actuators. Int. Appl. Mech. – 46(8). pp. 890–901.
How to Cite
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).