Exact solutions for axisymmetric flexural free vibrations of inhomogeneous circular Mindlin plates with variable thickness

doi:10.1007/s10483-017-2187-6

Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (4): 505-526.doi: https://doi.org/10.1007/s10483-017-2187-6

Exact solutions for axisymmetric flexural free vibrations of inhomogeneous circular Mindlin plates with variable thickness

收稿日期:2016-05-30 修回日期:2016-09-14 出版日期:2017-04-01 发布日期:2017-04-01
通讯作者: Jianghong YUAN E-mail:yuanjianghong1984@gmail.com

Exact solutions for axisymmetric flexural free vibrations of inhomogeneous circular Mindlin plates with variable thickness

Received:2016-05-30 Revised:2016-09-14 Online:2017-04-01 Published:2017-04-01
Contact: Jianghong YUAN E-mail:yuanjianghong1984@gmail.com
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 11402133, 11620162, 11321202, and 11532001)

摘要/Abstract

关键词: unsteady magnetohydrodynamic (MHD) flow, shrinking sheet, analytical solution, slip condition, dual solutions

Key words: Heun-type equation, circular Mindlin plate, inhomogeneous material, unsteady magnetohydrodynamic (MHD) flow, shrinking sheet, analytical solution, slip condition, dual solutions, free vibration, variable thickness

中图分类号:

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Jianghong YUAN, Weiqiu CHEN. Exact solutions for axisymmetric flexural free vibrations of inhomogeneous circular Mindlin plates with variable thickness[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(4): 505-526.

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Exact solutions for axisymmetric flexural free vibrations of inhomogeneous circular Mindlin plates with variable thickness

Exact solutions for axisymmetric flexural free vibrations of inhomogeneous circular Mindlin plates with variable thickness

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