【摘要】 研究分层制造中几何失真性产生的数学原理。认为分层制造的几何失真性是一个纯数学意义上的误差，其产生的数学原理是由于连续的三维表面被非连续的柱体表面近似表达。建立数学模型与评价参数，并以航空发动机叶片为例分析分层几何参数对几何失真性的影响。更多还原

【Abstract】 The mathematical principle of ge-ometrical distortion for layer manufacturing isinvestigated. It is determined that geometricaldistortion caused by non continuous cylinders re-placing smooth surface as face of pattern is anerror resulting form mathematics. Mathematicalmodel and evaluation parameter are established,and effect of layered parameters on geometricaldistortion is analyzed with example of aircraftengine blade.更多还原