Abstract
We studied the chaotic peculiarities of magnetic-mechanical coupled system of GMA. Based on the working principle of GMA and according to Newton’s second law of motion, first piezomagnetic equation, disk spring design theory, and structural dynamics principle of GMA, the present study established a GMA magnetic-mechanical coupled system model. By carrying out data modeling of this coupled system model, the bifurcation chart of the system with the variation of damping factor, excitation force, and exciting frequency parameters as well as the homologous offset oscillogram, phase plane trace chart, and Poincaré diagram was obtained, and the chaotic peculiarities of the system were analyzed. The influence of parametric errors on the coupled system was studied. The analytical results showed that the oscillation equation of the GMA magnetic-mechanical coupled system had nonlinearity and the movement morphology was complicated and diversified. By adjusting the damping factor, exciting frequency, and excitation force parameters of the system, the system could work under the stable interval, which provided theoretical support for the stability design of GMA.
Highlights
Due to its advantages of large displacement, fast response speed, large magnetic-mechanical coupling coefficient, and high reliability [1, 2], the giant magnetostrictive material (GMM) has a broad application prospect in aerospace, national defense and military industry, machinery, precision machining, medical equipment, and other fields [3,4,5,6,7,8]. e giant magnetostrictive actuator (GMA) is becoming an outstanding representative of new driving mechanism because its core component GMM has superior performance, which can better realize the mutual transformation of magnetic-mechanical energy
Yang et al [12] established a magnetic-mechanical strong coupled system model for the force sensor made by GMM and compared it with the measuring result to examine the effectiveness of the model
Li [14] proposed a GMA hysteresis nonlinear model based on the magnetic-mechanical coupling principle and carried out experimental analysis on the dynamic and static peculiarities of GMA force and output displacement
Summary
Due to its advantages of large displacement, fast response speed, large magnetic-mechanical coupling coefficient, and high reliability [1, 2], the giant magnetostrictive material (GMM) has a broad application prospect in aerospace, national defense and military industry, machinery, precision machining, medical equipment, and other fields [3,4,5,6,7,8]. e giant magnetostrictive actuator (GMA) is becoming an outstanding representative of new driving mechanism because its core component GMM has superior performance, which can better realize the mutual transformation of magnetic-mechanical energy. Niu et al [10] proposed a GMA dynamic model based on the J-A model, which considered the magnetic-mechanical coupling effect and could improve the forecast accuracy of GMA output displacement. Li [14] proposed a GMA hysteresis nonlinear model based on the magnetic-mechanical coupling principle and carried out experimental analysis on the dynamic and static peculiarities of GMA force and output displacement. If the GMA magnetic-mechanical coupled system is under the working condition of chaotic movement, the actual control and stability of the GMA nonlinear system will be seriously damaged. Erefore, the study of chaotic peculiarities of the magnetic-mechanical coupled system has occupied a very important position in the stability of the GMA nonlinear system. Under the effect of the driving magnetic scene, the GMM rod has extension changes along the direction of the rod, generating the output displacement.
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