Frequency spectra of extensional vibration in isotropic shortcolumns and thick circular disks

Lin Shuyu

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Frequency spectra of extensional vibration in isotropic shortcolumns and thick circular disks

机译：各向同性短柱和厚圆盘中扩展振动的频谱

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A simple analytical method based on the equivalent elastic theorynis presented for predicting the natural frequencies of a short column orna thick circular disk of axially symmetrical coupled vibration in whichnthe longitudinal, the radial and the thickness extensional vibrationsnare considered. A critical value of thickness/diameter ratio is givennthat defines a boundary between a short column and a thick disk.nTheoretical analyses show that the longitudinal and radial vibrations inninfinite length rods, the radial and thickness extensional vibrations innthin plate are the special vibrating modes of a short column or a thickndisk. The calculated frequencies for an isotropic column or a disk arenin good agreement with the measured results

机译：提出了一种基于等效弹性理论的简单分析方法，用于预测轴对称耦合振动的短圆柱或厚圆盘的固有频率，其中不考虑纵向，径向和厚度扩展振动。给出了厚度/直径比的临界值，定义了短柱和厚圆盘之间的边界。理论分析表明，无限长杆的纵向和径向振动，板内的径向和厚度扩展振动是板的特殊振动模式。短柱或加厚磁盘。各向同性柱或圆盘的计算频率与测量结果非常吻合

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《IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control》 |1994年第4期|p.573-576|共4页
作者
Lin Shuyu;
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正文语种 eng
中图分类声学工程;计量学;
关键词
resonators; vibrations; axially symmetrical coupled vibration; equivalent elastic theory; extensional vibration; infinite length rods; isotropic short columns; resonant frequencies; thick circular disks; thickness/diameter ratio; vibrating modes;

机译：谐振器;振动;轴对称耦合振动;等效弹性理论;延伸振动;无限长杆;各向同性短柱;共振频率;厚圆盘;厚度/直径比;振动模式;

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专利

1. Frequency spectra of extensional vibration in isotropic short columns and thick circular disks [J] . Lin Shuyu IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control . 1994,第4期

机译：各向同性短柱和厚圆盘的扩展振动频谱
2. Vertical vibrations of rigid circular disks under ground-transmitted high-frequency waves [J] . Zhang YQ, Lu Y, Wang LZ Journal of Sound and Vibration . 2007,第1a2期

机译：地面传播的高频波作用下刚性圆盘的垂直振动
3. Vibration of Thick Circular Disks and Shells of Revolution [J] . A. V. Singh, L. Subramaniam Journal of Applied Mechanics: Transactions of the ASME . 2003,第2期

机译：厚圆盘和旋转壳的振动
4. Extensional, thickness-stretch and symmetric thickness-shear vibrations of piezoelectric ceramic disks [C] . Lee, P.C.Y., Huang, . 1999

机译：压电陶瓷盘的拉伸，厚度拉伸和对称的厚度剪切振动
5. ANALYSIS OF A CIRCULAR WAVEGUIDE CAVITY LOADED WITH THICK MAGNETIZED FERRITE DISKS. [D] . HELLUMS, JOSEPH MILES. 1977

机译：厚磁化铁氧体圆弧形腔的分析。
6. Polarized Raman spectra of oriented fibers of A DNA and B DNA: anisotropic and isotropic local Raman tensors of base and backbone vibrations. [O] . G J Thomas Jr, J M Benevides, S A Overman, 1995

机译：A DNA和B DNA定向纤维的偏振拉曼光谱：基础和骨架振动的各向异性和各向同性局部拉曼张量。
7. Frequency Equations for the In-Plane Vibration of Circular Annular Disks [O] . S. Bashmal, R. Bhat, S. Rakheja 2010

机译：圆形环形磁盘面内振动的频率方程
8. On the High Frequency Extensional Vibrations of Isotropic, Elastic Plates [R] . Billman, L. C., Kaul, R. K. 1973

机译：关于各向同性弹性板的高频伸展振动

Frequency spectra of extensional vibration in isotropic shortcolumns and thick circular disks

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