球形发射换能器多目标优化设计  

Multi-objective optimization design of spherical transducer

作　　者：张希[1,2] 李鸿光 赵勰[2] 熊翰林 孟光 ZHANG Xi;LI Hongguang;ZHAO Xie;XIONG Hanlin;MENG Guang(State Key Laboratory of Mechanical System and Vibration,Shanghai Jiao Tong University,Shanghai 200240;Kunming Shipbuilding Equipment Research and Test Center,Kunming 650051)

机构地区：[1]上海交通大学机械系统与振动国家重点实验室,上海200240 [2]昆明船舶设备研究试验中心,昆明650051

出　　处：《声学学报》2023年第4期872-881,共10页Acta Acustica

基　　金：云南省高层次科技人才专项—技术创新人才培养对象项目(202305AD160068);上海交通大学深蓝计划重点Ⅰ类项目(SL2022ZD102)资助。

摘　　要：为了解决球形发射换能器多约束条件下的离散/连续变量混合型非线性多目标优化问题,基于等效电路理论,建立了球形换能器的电学-力学-声学耦合模型,以辐射声源级、输入电功率和质量为优化目标函数,材料属性参数、结构尺寸参数、工作频率范围和输入电压为设计变量,压电陶瓷电退极化极限、结构强度极限、功率容量等物理特性以及设计变量取值等为约束条件,构建了球形换能器多目标优化数学模型;利用第二代非支配排序遗传算法(NSGA-Ⅱ)进行了球形换能器多目标优化设计,获得Pareto前沿解集;并通过实验验证了优化结果的有效性。结果表明,采用多目标优化方法设计和制作的球形发射换能器样机,在满足辐射声源级要求的前提下,工作频率范围内输入功率降低了32.8%,质量减轻了27.4%。研究结果可为严苛条件限制下的发射换能器优化设计提供参考。In order to solve the mixed nonlinear multi-objective optimization problem of discrete/continuous variables under the multi-constraint conditions of spherical transducer,the electrical-mechanical-acoustic model of spherical transducer is established based on the equivalent circuit theory.The multi-objective optimization mathematical model of spherical transducer is constructed.The source level,input electric power and mass are taken as the optimization objective functions,and the material property parameters,structural size parameters,frequency range and input voltage are taken as the design variables.Besides,the physical properties such as piezoelectric ceramic depolarization,structural strength limit,power capacity and the value of design variables are taken as constraints.The multi-objective optimization design of spherical transducer is carried out by using the Non-dominated Sorting Genetic Algorithm-Ⅱ(NSGA-Ⅱ),and the Pareto front solution set are obtained.The effectiveness of the optimization results are verified by experiments.The results show that the transducer prototype designed and manufactured by the multi-objective optimization method reduces the input power by 32.8% and the mass by 27.4% under the premise of meeting the requirements of the radiation sound source level.The research results can provide a reference for the optimization design of transmitting transducer under severe conditions.

关 键 词：球形换能器 多目标优化 NSGA-Ⅱ 多物理场耦合 

分 类 号：TB565.1[交通运输工程—水声工程]