摘要
由薄圆盘改进而来的阶梯型薄圆盘声波辐射器在空气中有着很好的应用,但由于阶梯的存在,需要根据在节线处位移连续、位移斜率连续、剪切力连续以及弯矩连续,加之其边界条件才能推导出频率方程。多一条节线,则多四个方程。变量多,方程系数复杂,频率方程难解。本文以单节线阶梯圆盘为例,提出了一种数值计算方法,编制了计算程序。计算结果与实验测试值符合较好。更进一步,可计算得到阶梯盘的声场分布、辐射阻抗等声学特性。本文为阶梯圆盘的设计和其声学性能的计算提供了一种方法。
The flexural vibrating stepped thin plate,which is improved by the thin plate,seems to be a very useful type of transducer for the generation of ultrasounds in fluids.However,due to the existence of step,the frequency equation can be derived according to the continuity of deflection,slope,shear force and radial bending moment at its vibrating nodal lines,as well as its boundary conditions.More one vibrating nodal line will increase four equations. More variables,and more complex equation coefficients,make difficult to solve the frequency equations.In this paper, taking a flexural vibrating stepped thin plate with a single nodal line as an example,a feasible numerical method is presented,and a computer program is developed.It is shown that the tested results are in good agreement with the theoretical ones.Furthermore,the acoustic field distribution and the radiation impedance of the stepped thin plate can be obtained.This study can provide an effective method for designing and calculation acoustic performances of the flexural vibrating stepped thin plate.
出处
《声学学报》
EI
CSCD
北大核心
2010年第5期502-507,共6页
Acta Acustica
基金
国家自然科学基金(10874107)
陕西省自然科学基金(2007A07)资助项目
