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Algorithm for solving problems related to the natural vibrations of electro-viscoelastic structures with shunt circuits using ANSYS data

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International Journal of Smart and Nano Materials 2019年第2期10卷 156-176页

作者： Nataliia Iurlova natalia sevodina Dmitrii Oshmarin Maksim Iurlov Institute of Continuous Media Mechanics of the Ural Branch of RAS PermRussian Federation

An algorithm for numerical realisation of a mathematical statement of the natural vibrations problem for electro-viscoelastic bodies with passive external electric circuits(*** circuits)with an arbitrary configuration using the finite element method is proposed in the present *** proposed algorithm allows considering the viscoelastic properties of materials using the model of linear hereditary viscoelasticity with complex dynamic moduli and is used to solve 3D solid structure problems that are compatible for ANSYS package element *** technique implies the usage of the global assembled matrices of stiffness and mass,formed in the ANSYS *** basis of the algorithm is a novel approach that allows performing decomposition of the global assembled stiffness matrix formed in the ANSYS software package into constituents that are needed for calculation of the natural vibration frequencies of the objects under *** matrix components are used in the program that was written in FORTRAN(Formula Translation)*** problem could be efficiently applied for analysis of the dynamic processes in smart systems based on piezoelectric materials and could also form a basis for the development of numerical finite element algorithms for optimization of the dissipative characteristics of electromechanical systems with shunted piezoelectric elements.

关键词： Numerical simulation finite element method electroviscoelasticity piezoelement external electric circuit natural vibrations

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Algorithm for the layout of a piezoelectric element in an elastic medium providing the maximal piezoelectric effect within a specified frequency range

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International Journal of Smart and Nano Materials 2019年第4期10卷 268-284页

作者： Dmitrii Oshmarin Nataliia Iurlova natalia sevodina Maksim Iurlov Department of complex problems of deformable solids mechanics Institute of Continuous Media Mechanics of the Ural Branch of RASPermRussian Federation

An algorithm for the layout of a piezoelectric that provides the most efficient performance within a specified range of vibration frequencies is proposed in this *** algorithm is based on the consideration of a special parameter within the area of a piezoelectric element’s possible *** parameter characterizes the superposition of electromechanical coupling coefficients’for all the natural vibration frequencies included in a specified frequency *** condition for defining the best option for location of the piezoelectric element in the case of several equivalent positions is *** efficiency of the proposed algorithm is shown *** electromechanical coupling coefficients were calculated numerically based on solution to the problem of natural vibrations for electroelastic bodies using a finite element *** calculations were performed to define the best location for a single piezoelectric element at the surface of a thin-walled shell having a half-cylindrical *** results are presented for natural vibration frequencies within the frequency range from 0 up to 1100 *** numerical results were obtained by solving the problem of natural vibrations with a finite element method using the ANSYS software package.

关键词： Piezoelectric element’s layout natural vibrations continuous frequency range electromechanical coupling coefficient

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