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The flexural vibration of thick disk is studied in this paper. The general solutions of radial displacement and transverse displacement for flexural vibration thick disk under the Mindlin theory are derived. The resonance frequency equations are derived when the boundary conditions are free, simply supported and clamped, and The results obtained from the analyticae method are in good agreement with those from the finite element method and also with the experimental results. These results can serve as reference for the design of flexural vibration thick disk radiator.
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Keywords:
- thick disk /
- flexural vibration /
- frequency equation
[1] Xie W J, Cao C D, Wei B B 1999 Acta Phys. Sin. 48 250 (in Chinese) [解文军、曹崇德、魏炳波 1999 物理学报 48 250 ]
[2] Gallego-Juárez J A, Rodríguez-Corral G, Riera-Franco de Sarabia E, Campos-Pozuelo C, Vázquez-Martínez F, Acosta-Aparicio V M 2000 Ultrasonsics. 38 331
[3] Robert Hickling, Marin S P 1986 J. Acoust. Soc. Am. 79 1151
[4] Chen M X 2007 Elasticity and Plasticity (Beijing: Science Press) p115 (in Chinese) [陈明祥 2007 弹塑性力学 (北京: 科学出版社) 第115页]
[5] Mindlin R D 1951 J. Appl. Mech. (Trans. ASME) 18 31
[6] Mindlin R D, Deresiewiez H 1954 J. Appl. Phys. 25 1329
[7] Reissner E 1944 J. Math. Phys. 23 184
[8] Reissner E, Cambridge M 1945 J. Appl. Mech. (Trans. ASME) 12 A69
[9] Reissner E 1947 Quart. Appl. Math. 5 55
[10] Hu H C 1953 Acta Phys. Sin. 9 130 (in Chinese) [胡海昌 1953 物理学报 9 130]
[11] Hu H C 1955 Acta Phys. Sin. 11 19 (in Chinese) [胡海昌 1955 物理学报 11 19]
[12] Hu H C 1955 Acta Phys. Sin. 11 231 (in Chinese) [胡海昌 1955 物理学报 11 231]
[13] Shi Z C, Li Y S 1981 Acta Mathematicae Applicatae .Sinica. 4 53 (in Chinese) [石钟慈、李翊神 1981 应用数学学报 4 53]
[14] Xu X, He F B 1998 Applied Mathematics and Mechanics. 19 577 (in Chinese) [徐 旭、何福保 1998 应用数学和力学 19 577]
[15] Song W M, Yang G S 1999 Applied Mathematics and Mechanics. 20 181 (in Chinese) [宋卫明、杨光松 1999 应用数学和力学 20 181]
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[1] Xie W J, Cao C D, Wei B B 1999 Acta Phys. Sin. 48 250 (in Chinese) [解文军、曹崇德、魏炳波 1999 物理学报 48 250 ]
[2] Gallego-Juárez J A, Rodríguez-Corral G, Riera-Franco de Sarabia E, Campos-Pozuelo C, Vázquez-Martínez F, Acosta-Aparicio V M 2000 Ultrasonsics. 38 331
[3] Robert Hickling, Marin S P 1986 J. Acoust. Soc. Am. 79 1151
[4] Chen M X 2007 Elasticity and Plasticity (Beijing: Science Press) p115 (in Chinese) [陈明祥 2007 弹塑性力学 (北京: 科学出版社) 第115页]
[5] Mindlin R D 1951 J. Appl. Mech. (Trans. ASME) 18 31
[6] Mindlin R D, Deresiewiez H 1954 J. Appl. Phys. 25 1329
[7] Reissner E 1944 J. Math. Phys. 23 184
[8] Reissner E, Cambridge M 1945 J. Appl. Mech. (Trans. ASME) 12 A69
[9] Reissner E 1947 Quart. Appl. Math. 5 55
[10] Hu H C 1953 Acta Phys. Sin. 9 130 (in Chinese) [胡海昌 1953 物理学报 9 130]
[11] Hu H C 1955 Acta Phys. Sin. 11 19 (in Chinese) [胡海昌 1955 物理学报 11 19]
[12] Hu H C 1955 Acta Phys. Sin. 11 231 (in Chinese) [胡海昌 1955 物理学报 11 231]
[13] Shi Z C, Li Y S 1981 Acta Mathematicae Applicatae .Sinica. 4 53 (in Chinese) [石钟慈、李翊神 1981 应用数学学报 4 53]
[14] Xu X, He F B 1998 Applied Mathematics and Mechanics. 19 577 (in Chinese) [徐 旭、何福保 1998 应用数学和力学 19 577]
[15] Song W M, Yang G S 1999 Applied Mathematics and Mechanics. 20 181 (in Chinese) [宋卫明、杨光松 1999 应用数学和力学 20 181]
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