数学模型设计在三维振镜激光扫描仪中的应用

Application of mathematical model design in 3D galvanometer laser scanner

针对原有三维振镜激光扫描仪数学模型动态模拟结果不精准的问题,设计新型三维振镜激光扫描仪数学模型。根据扫描仪结构特点设定数学模型设计原则并简化原始模型,将设计原则与简化后模型结合能量守恒定律,设定硬性约束条件并模拟扫描仪内部动态过程,以动态过程模拟结果为依据,将扫描仪内部分割为若干单元块,通过单元块动态过程计算结果与对应关系完成数学模型计算,至完成此三维振镜激光扫描仪数学模型设计。构建对比实验,将原有模型与此模型模拟结果同测量结果相比较,此模型结果为数值区间且包含测量结果,原有模型结果为固定数值,与测试结果误差较大,证明所提模型动态模拟结果更为精确。

As the dynamic simulation results of the original mathematical model of 3D galvanometer laser scanner is inaccuracy,a new mathematical model of 3D galvanometer laser scanner is designed.According to the structural characteristics of the scanner,the design principles of the mathematical model are set and the original model is simplified.The essential constraints are set and the internal dynamic process of the scanner is simulated according to the design principles,the simplified models and the law of energy conservation.The simulation result of dynamic process is taken as the basis to divide interior of the scanner into several unit blocks,and the mathematical model calculation is fulfilled by the dynamic process calculation result and the corresponding relation of the unit blocks.So far,the mathematical model design of the 3D galvanometer laser scanner is fulfilled.In comparison experiment,the simulation results of the original model and the newly-designed model are compared with the measured results.The latter covers a numerical interval,which contains the measuring results,but the former only has a fixed value,which has a great error in comparison with the measured results.Therefore,the dynamic simulation results of the newly-designed model are more accurate.