Algorithm for solving problems related to the natural vibrations of electro-viscoelastic structures with shunt circuits using ANSYS data
| Autor: | N. V. Sevodina, Nataliia A. Iurlova, Maksim Iurlov, Dmitrii A. Oshmarin |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
electro-viscoelasticity
Computer science finite element method 02 engineering and technology Numerical simulation Viscoelasticity piezoelement Matrix (mathematics) 0203 mechanical engineering natural vibrations medicine lcsh:TA401-492 General Materials Science Civil and Structural Engineering Electronic circuit Stiffness matrix Computer simulation Stiffness 021001 nanoscience & nanotechnology Finite element method Vibration 020303 mechanical engineering & transports Mechanics of Materials lcsh:Materials of engineering and construction. Mechanics of materials medicine.symptom 0210 nano-technology Algorithm external electric circuit |
| Zdroj: | International Journal of Smart and Nano Materials, Vol 10, Iss 2, Pp 156-176 (2019) |
| ISSN: | 1947-5411 |
| Popis: | An algorithm for numerical realisation of a mathematical statement of the natural vibrations problem for electro-viscoelastic bodies with passive external electric circuits (i.e. shunting circuits) with an arbitrary configuration using the finite element method is proposed in the present paper. The 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 types. This technique implies the usage of the global assembled matrices of stiffness and mass, formed in the ANSYS package. The 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 study. These matrix components are used in the program that was written in FORTRAN (Formula Translation) language. This 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. |
| Databáze: | OpenAIRE |
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