Thickness-shear and flexural vibrations of partially plated, crystal plates
作者： R.D. Mindlin , P.C.Y. Lee
DOI: 10.1016/0020-7683(66)90010-2
关键词: Quartz 、 Deformation (engineering) 、 Plating 、 Vibration 、 Electrode 、 Anharmonicity 、 Composite material 、 Crystal 、 Resonance 、 Structural engineering 、 Materials science
摘要: Abstract In this paper, mathematical solutions are exhibited which predict the influence of length and mass, rectangular electrode platings, on sharpness fundamental thickness-shear resonance number distribution anharmonic overtones between cut-off frequencies plated unplated portions AT-type quartz plates.
elsevier.com
sci-hub.se 参考文章(11)
Raymond D. Mindlin, Forced Thickness‐Shear and Flexural Vibrations of Piezoelectric Crystal Plates Journal of Applied Physics. ,vol. 23, pp. 83- 88 ,(1952) , 10.1063/1.1701983
Richard C. Roberts, J. M. Alexander, Progress in Applied Mechanics Mathematics of Computation. ,vol. 18, pp. 679- ,(1964) , 10.2307/2002965
R. K. Kaul, R. D. Mindlin, Frequency Spectrum of a Monoclinic Crystal Plate The Journal of the Acoustical Society of America. ,vol. 34, pp. 1902- 1910 ,(1962) , 10.1121/1.1909148
Warren P. Mason, Hans Baerwald, Piezoelectric Crystals and Their Applications to Ultrasonics Physics Today. ,vol. 4, pp. 23- 24 ,(1951) , 10.1063/1.3067231
Raymond D. Mindlin, Thickness‐Shear and Flexural Vibrations of Crystal Plates Journal of Applied Physics. ,vol. 22, pp. 316- 323 ,(1951) , 10.1063/1.1699948
R. D. Mindlin, H. Deresiewicz, Thickness‐Shear Vibrations of Piezoelectric Crystal Plates with Incomplete Electrodes Journal of Applied Physics. ,vol. 25, pp. 21- 24 ,(1954) , 10.1063/1.1721514
R. Bechmann, Elastic and Piezoelectric Constants of Alpha-Quartz Physical Review. ,vol. 110, pp. 1060- 1061 ,(1958) , 10.1103/PHYSREV.110.1060
R. D. Mindlin, M. Forray, Thickness‐Shear and Flexural Vibrations of Contoured Crystal Plates Journal of Applied Physics. ,vol. 25, pp. 12- 20 ,(1954) , 10.1063/1.1721494
Stephen P Timoshenko, None, LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars Philosophical Magazine Series 1. ,vol. 41, pp. 744- 746 ,(1921) , 10.1080/14786442108636264
H. F. Tiersten, R. D. Mindlin, Forced vibrations of piezoelectric crystal plates Quarterly of Applied Mathematics. ,vol. 20, pp. 107- 119 ,(1962) , 10.1090/QAM/99964