The Research Of GMM Modeling And Nonlinear Dynamic Analysis Of GMM Laminates

Giant magnetostrictive material, characterized by large strain, fast response, high force, simple driving method and good reliability and so on, has a wide range of potential applications in defence and military fields, aviation and space field, mechanics, electronics and petroleum domain and so on. It is known as"the strategic functional materials in the 21st century for improving the scientific and technological competitiveness in our country". In my master degree thesis, the models of Giant magnetostrictive material and nonlinear dynamics of its laminates are studied systematically and deeply. The main research contents are given as follows.1. Under different temperature, the variation law of magnetotricitive effect has been experimentally studied with magnetic field intensity variation.2. Using the Gram-Schmidt regression method, the strain- magnetic intensity - frequency coupling hysteretic nonlinear model has been set up based on the related experimental data. The results were compared and analyzed, and the effectiveness of the model was validated.3. According to the shear deformation theory and the nonlinear relation of the geometric deformations, the nonlinear governing partial differential equations of motion for the GMM laminates subjected to the in-plane and transverse excitations were derived by using the Hamilton's principle. And the partially differentiate equations discretization was realized by using the Galerkin method.4. Considering 1:1 internal resonance, the method of multiple scales was employed to obtain the averaged equations of .the GMM laminates subjected to the in-plane and transverse excitations. The results of numerical simulation showed that there were the periodic, multi-periodic and chaotic motions in the system. The influence of the excitations on the nonlinear dynamics behaviors of the system was investigated.These contents will stimulate the study of GMM's engineering application, and have important doctrinal importance and extensive application prospect.