Nonlinear finite element model for 3D Galfenol systems
Nonlinear finite element model for 3D Galfenol systems
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DOI：
10.1088/0964-1726/20/10/105034
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发表时间：
2011-09
影响因子：
4.1
通讯作者：
S. Chakrabarti;M. Dapino
中科院分区：
文献类型：
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作者：
S. Chakrabarti;M. Dapino
这项工作解决了一个先进的建模工具，它描述了在三维（3D）Galfenol传感器提供系统级的输入输出关系的完全非线性耦合的发展。电磁学的麦克斯韦方程和力学系统的Navier方程以弱形式表示。Galfenol的本构行为是通过一个非线性离散能量平均模型。整个系统近似分层，首先，分段线性化用于描述准静态响应和偏磁计算。一个线性动态解与压磁系数计算在一个给定的磁偏置描述系统的动力学适度的输入。通过基于梯形法则的隐式动力学解，量化了大输入场和大应力下的动力响应。该模型同时考虑了涡流、漏磁、结构动力学和非线性材料行为的影响。以Galfenol单压电晶片作动器为例，验证了该模型在准静态和动态条件下的正确性。
This work addresses the development of an advanced modeling tool which describes the full nonlinear coupling in three-dimensional (3D) Galfenol transducers to provide system level input–output relationships. Maxwell’s equations for electromagnetics and Navier’s equations for mechanical systems are formulated in weak form. The constitutive behavior of Galfenol is described through a nonlinear discrete energy-averaged model. The overall system is approximated hierarchically; first, piecewise linearization is used to describe quasi-static responses and magnetic bias calculations. A linear dynamic solution with piezomagnetic coefficients computed at a given magnetic bias describes the system dynamics for moderate inputs. Dynamic responses at large input fields and stresses are quantified through an implicit dynamic solution based on the trapezoidal rule. The model simultaneously incorporates the effects of eddy currents, flux leakage, structural dynamics and nonlinear material behavior. A case study on a Galfenol unimorph actuator validates the model in quasistatic and dynamic conditions.