Algorithm for solving problems related to the natural vibrations of electro-viscoelastic structures with shunt circuits using ANSYS data
作者机构：Institute of Continuous Media Mechanics of the Ural Branch of RASPermRussian Federation
出 版 物：《International Journal of Smart and Nano Materials》 (国际智能和纳米材料杂志（英文）)
年 卷 期：2019年第10卷第2期
页 面：156-176页
核心收录：
学科分类：08[工学] 0812[工学-计算机科学与技术（可授工学、理学学位）]
基 金：funded by RFBR according to the research project №17-41-590152
主 题：Numerical simulation finite element method electroviscoelasticity piezoelement external electric circuit natural vibrations
摘 要：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.
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