超磁致伸缩薄膜悬臂梁静力学分析

Statics analysis of cantilever beam coated with giant magnetostrictive thin film

静力学特性是超磁致伸缩薄膜(giant magnetostrictive thin film,GMF)的重要特性,对其进行准确的分析是应用GMF的基础.结合材料力学的相关理论,求解了不同尺寸、不同基底材料GMF双层悬臂梁的中性轴和等效惯性矩;将双层GMF悬臂梁的磁致伸缩作用等效为分布弯矩作用,建立了静态磁致伸缩过程中薄膜悬臂梁的挠曲线方程.采用悬臂梁式GMF进行变形特性的实验研究,证实了挠曲线方程的正确性,同时表明磁致伸缩过程中薄膜的磁学量与力学量呈一定的线性关系,为动态磁致伸缩效应的进一步分析研究奠定了理论基础.

Statics characteristic is one of the most important application-related properties of the giant magnetostrictive thin films（GMF）,and the accurate analysis about it is the base of the application of GMF.Neutral axes and equivalent inertia moments of bi-layer cantilever beams coated with GMF of different sizes and substrates are obtained according to the relative theory of material mechanics.The equation of deflection curve in static magnetostrictive process is also developed by assuming that the magnetostriction effect of bi-layer cantilever beam coated with GMF is equivalent to the effect of a uniformly distributed bending moment.Experimental results of deformation characteristics reveal that the equation of deflection curve developed is valid.In addition,approximately linear relationship between mechanical quantities and magnetic quantities of GMF cantilever beam in static magnetostrictive process is observed which lays a theoretical foundation for further analysis of dynamic magnetostrictive effect.