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悬臂压电叠层复合梁的弯曲振动固有频率
引用本文:龚立娇,王玉山. 悬臂压电叠层复合梁的弯曲振动固有频率[J]. 机械设计与制造, 2012, 0(3): 221-223
作者姓名:龚立娇  王玉山
作者单位:1. 石河子大学机械电气工程学院;中国科学技术大学精密机械与精密仪器系,合肥 230027
2. 石河子大学水利建筑工程学院,石河子,832003
基金项目:国家自然科学基金资助项目
摘    要:压电叠层复合梁是一种三叠片对称结构。这里以压电陶瓷-金属-压电陶瓷复合结构为研究对象,给出了悬臂式对称压电复合结构的压电振子弯曲振动共振频率表达式,并建立了相应的有限元模型;计算分析了压电陶瓷-金属复合梁弯曲振动的固有频率值与几何尺寸之间的关系,并与相应的有限元模态分析结果进行了比较。结果表明,两种分析方法得到的压电振子的固有频率值基本符合,计算公式和模型是精确有效的;压电叠层复合梁愈细长则表达式的计算结果愈准确。

关 键 词:压电叠层复合梁  固有频率  弯曲振动

Natural frequency of flexural vibration of cantilever piezoelectric laminated composite beam
GONG Li-jiao , WANG Yu-shan. Natural frequency of flexural vibration of cantilever piezoelectric laminated composite beam[J]. Machinery Design & Manufacture, 2012, 0(3): 221-223
Authors:GONG Li-jiao    WANG Yu-shan
Affiliation:1College of Machinery and Electrical Engineering,Shihezi University,China)(2College of Water Conservancy & Architectural Engineering,Shihezi University,Shihezi 832003,China)(3Department of Precision Machinery and Precision Inst Vumentation University of Science and Technology of China,Hefei 230027,China)
Abstract:Piezoelectric laminated composite cantilever beam is a structure with three symmetrical laminate.With piezoelectric ceramic-metal-piezoelectric ceramic composite structure as research object,the bending vibration frequency expression of the piezoelectric ceramic-metal composite structure cantilever piezoelectric vibrator is derived and its finite-element model is established.The relationship between the natural frequency values and different dimension of piezoelectric ceramic-metal composite structure beams are calculated and analyzed,which are compared with the results from FEM analysis.The results show that the computing value of the peizoelectric vibrator obtained from two methods are fits.The results show that calculation formula and FEM model are accurate and effective.The longer piezoelectric laminated composite beam is the more accurate calculation results of expression is.
Keywords:Piezoelectric laminated composite beam  Natural frequency  Flexural vibration
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