Abstract
Giant magnetostrictive actuators (GMA) driven by giant magnetostrictive material (GMM) has some advantages such as a large strain, high precision, large driving force, fast response, high reliability, and so on, and it has become the research hotspot in the field of microdrives. Research shows there is a nonlinear, intrinsic relationship between the output signal and the input signal of giant magnetostrictive actuators because of the strong coupling characteristics between the machine, electromagnetic field, and heat. It is very complicated to construct its nonlinear eigenmodel, and it is the basis of the practical process of giant magnetostrictive material to construct its nonlinear eigenmodel. Aiming at the design of giant magnetostrictive actuators, the magnetization model based on a free-energy hysteresis model has been deeply researched, constructed, and put forward by Smith, which combines Helmholtz–Gibbs free energy and statistical distribution theory, to simulate the hysteresis model at medium or high driving strengths. Its main input and output parameters include magnetic field strength, magnetization, and mechanical strain. Then, numerical realization and verification of the magnetization model are done by the Gauss–Legendre integral discretization method. The results show that the magnetization model and its numerical method are correct, and the research results provide a theoretical basis for the engineering application of giant magnetostrictive material and optimized structure of giant magnetostrictive material actuators, which have an important practical application value.
Highlights
In the field of intelligent manufacturing, micro-displacement and microactuation technology with an actuation stroke of less than 1mm and a resolution of less than 1μm has a wide range of applications [1,2]
In order to achieve the highest calculation accuracy and the fastest efficiency, during the numerical solution of the free energy hysteresis model, the Gauss–Legendre algorithm is used to discretize the integral, and the kernel function is realized by using the matrix representation
The hysteresis characteristics and nonlinearity of giant magnetostrictive actuators have been researched intensively based on the theoretical study of the free energy hysteresis model in this paper
Summary
In the field of intelligent manufacturing, micro-displacement and microactuation technology with an actuation stroke of less than 1mm and a resolution of less than 1μm has a wide range of applications [1,2]. The giant magnetostrictive actuator (GMA) developed by the giant magnetostrictive material (GMM) has the characteristics of a large magnetostriction coefficient, large output power, fast response speed, and high magnetic(electric)–mechanical conversion efficiency, and it is widely used in the fields of ultraprecision machining, micromotors, vibration control, fluid machinery, sonar, and so on. It is one of the hotspots in the field of microactuation [10]. Established a three-dimensional generalized finite element model based on the magnetic machine coupled constitutive equation, and simulations of the solenoid coil driving the GMM rod were made. The main effect of magnetostrictive strain on giant magnetostrictive material is field-induced deformation [20]
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