基于分段近似方法的超声雾化喷嘴振动系统设计

Design of the Ultrasonic Atomizing Nozzle’s Vibration System Based on a Piecewise Approximate Method

为解决超声雾化喷嘴振动系统某些组成段细杆无简单解析解的设计问题,提出分段近似的模拟计算方法,并对超声雾化喷嘴的振动系统进行设计。利用力电类比方法,基于常见的纵向振动变截面细杆的四端网络,通过对无简单解析解的变截面细杆进行分段近似,建立振动系统的整体传输矩阵,进而实现超声雾化喷嘴振动系统的设计分析。采用不同的模拟精度,以单段指数形、圆锥形、悬链形实心及空心半波长变幅杆和圆锥圆柱形、指数圆柱形、悬链圆柱形的实心及空心半波长复合变幅杆为例,对模拟计算结果与理论结算结果进行比较分析。对比分析表明,模拟计算结果能正确地反映理论计算数值,分段近似的模拟计算方法,可以解决无简单解析解的变截面细杆纵向振动的设计问题。利用基于四端网络传输矩阵的分段近似模拟计算方法对超声雾化喷嘴的振动系统进行设计计算,制造的超声雾化喷嘴工作正常,达到设计目标。

In order to solve the problem of the design of the ultrasonic atomizing nozzle’s vibration system composed of certain elements of thin rod without simple analytic solutions,a piecewise approximate simulation method is proposed,and based on the method,an ultrasonic atomizing nozzle’s vibration system is designed.Using mechanic-electric analogy method,based on the four terminal network of the common longitudinal vibration of thin rod with variable cross-section,the thin rod without simple analytic solutions is divided into many parts to simulate the whole rod,then the overall transmission matrix of the vibration system is built up,and as a result,the design and analysis of the vibration system is achieved.Using different simulation accuracy values,calculates three kinds of half wavelength solid and hollow single horns with the shape like exponent,cone and catenary are calculated,then the simulation calculation results and the theoretical results are compared and analyzed.At the same time,three kinds of half wavelength solid and hollow compound horns with the shape like exponent-cylinder,cone-cylinder and catenary-cylinder are calculated and the simulation calculation results and the theoretical results are compared and analyzed.Compared with the simulation results and the theoretical value,it can conclude that simulation results are very close to the theoretical calculation value and piecewise approximation simulation calculation method can solve the problem of the thin rod’s longitudinal vibration’ design which variable cross section without simple analytic solutions.Based on the four terminal network transmission matrixes piecewise approximate simulation method,the nozzle’s vibration system is designed and analyzed,and the manufactured nozzle can work well.