应用非线性Galerkin方法求解微梁的动态响应  

DYNAMICAL RESPONSES OF MICROBEAMS USING NONLINEAR GALERKIN METHOD

作　　者：宋敉淘[1] 曹登庆[1] 

机构地区：[1]哈尔滨工业大学航天学院,哈尔滨150001

出　　处：《动力学与控制学报》2009年第3期205-211,共7页Journal of Dynamics and Control

基　　金：国家自然科学基金(10772056);哈尔滨市科技创新人才研究专项资金(2007RFLXG009)资助项目~~

摘　　要：分析在电场力驱动下微共振器的非线性动力学特性.取前3阶模态,利用非线性Galerkin方法得到单自由度的降阶模型.用多尺度法计算降阶模型的动态响应,并得出了稳态响应的幅频特性曲线,与利用传统Galerkin方法直接取1阶模态所得的结果比较.以数值积分法求解3自由度模型得到的微共振器动力学响应为参考标准,验证了非线性Galerkin方法与传统Galerkin方法相比具有较高的精度.The nonlinear dynamic behaviour of a micro-resonator driven by electric force was investigated. The first three modes were used to get a model with single-degree-of-freedom in terms of the nonlinear Galerkin method. The multiple scales method was employed to obtain the dynamic responses of the reduced order model. The amplitude-frequency curve of stationary responses was depicted out and used to compare with the results obtained by the traditional Galerkin method where only the first mode is considered. Taking the dynamic responses obtained numerically from linear Galerkin method the has model with three-degrees-of-freedom as a reference, it can be concluded that the non- higher accuracy in comparison with the traditional Galerkin method

关 键 词：MEMS 微梁 惯性流形 非线性GALERKIN方法 

分 类 号：TB53[理学—物理]