| 文仕豪,许龙,朱怀球,吴德林,高申平,王萧博,姚磊.弯曲振动复合楔形超声聚能器的设计*[J].,2024,43(6):1366-1374 |
| 弯曲振动复合楔形超声聚能器的设计* |
| Design of the composite wedge-shaped ultrasonic concentrator in flexural vibration |
| 投稿时间：2023-06-26 修订日期：2024-10-29 |
| 中文摘要: |
| 为了建立楔形变截面弯曲超声振动系统的设计理论，本文基于Timoshenko梁弯曲振动理论，推导了复合楔形超声聚能器的弯曲振动共振频率方程和放大系数解析表达式。利用解析理论模型和有限元仿真对复合楔形聚能器的前4阶弯曲振动特性进行了计算分析。结果表明：复合楔形超声聚能器的高度比和长度比对各阶弯曲共振频率和放大系数均有较大的影响；解析理论计算的聚能器的各阶弯曲共振频率和位移放大系数与有限元仿真结果一致，两种方法计算的聚能器的各阶弯曲共振频率相对误差均小于3%。由此表明该解析理论模型具有较高的理论计算精度。最后，设计并制作了复合楔形聚能器实验样品并对其一阶共振频率和放大系数进行实验测试，测试结果与理论计算结果和有限元仿真结果吻合较好。本文研究结果为弯曲振动复合楔形超声振动系统的工程设计提供解析理论参考。 |
| 英文摘要: |
| In order to establish the design theory of a wedge-shaped vibrating ultrasonic system, based on the Timoshenko beam flexural vibration theory, this paper derives the flexural vibration resonance frequency equation and amplification coefficient expression of the composite wedge-shaped ultrasonic concentrator. The flexural vibration characteristics of the composite wedge-shaped concentrator up to the fourth order are calculated and analyzed using the proposed analytical theoretical model and finite element simulation. The results show that the height ratio and length ratio of the composite wedge-shaped ultrasonic concentrator have significant effects on the flexural resonance frequencies and amplification coefficients at each order. The flexural resonance frequencies and displacement amplification coefficients calculated by the analytical theoretical model are consistent with the results of finite element simulation. The relative errors of the flexural resonance frequencies calculated by both methods are less than 3%, indicating that the proposed analytical theoretical model has high accuracy. The composite wedge-shaped ultrasonic concentrator was made for experimental testing of its resonant frequency and amplification factor, the test results are relatively consistent with the theoretical calculations and finite element simulation results. The research results of this paper provide analytical theoretical references for the engineering design of flexural vibration composite wedge-shaped ultrasonic vibration systems. |
| DOI：10.11684/j.issn.1000-310X.2024.06.020 |
| 中文关键词: Timoshenko梁理论 弯曲振动 传递矩阵 有限元仿真 |
| 英文关键词: Timoshenko beam theory Flexural vibration Transfer matrix Finite element simulation |
| 基金项目:国家自然科学基金项目(12074354), 市场监督管理总局计划(2022MK046), 浙江省重点研发计划(2022C01002), 浙江省基础公益计划(LGF22A040005, TGC23A040003), 浙江省市场监督管理局雏鹰计划(CY2022001, CY2022216) |
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