中文摘要：

无网格局部Petrov-Galerkin(MLPG)法被誉为是一种有发展前景的真正无网格方法,近年其理论和应用均得到较大发展。在MEMS(micro-electro-mechanical system)的建模与数值模拟研究中,大变形或大移动要充分予以考虑,无网格方法能在分析这类问题时显示出明显的优势。文中进一步发展MLPG法分析悬臂和两端固支微机电开关在非线性载荷作用下的非线性大变形问题,通过与有限元结果的比较,表明文中提出的大变形问题无网格局部Petrov-Galerkin法具有稳定性好、收敛快等优点。

英文摘要：

The local Petrov-Galerkin(MLPG) method is a truly meshfree methods in all the existent methods.In the modeling and simulation of the micro-electro-mechanical system(MEMS) devices,the large deformation or the geometrical nonlinearity must be considered.The meshless method shows its potential in this area because no mesh is needed.A local meshless formulation is further developed for large deformation analysis in the MEMS device.Two typical microswitches,cantilever and fixed-fixed microswitches,are simulated ...