Applied Mathematics and Mechanics >
Nonlinear stability of sensor elastic element—corrugated shallow spherical shell in coupled multi-field
Received date: 2016-07-01
Revised date: 2016-09-25
Online published: 2017-06-01
Supported by
Project supported by the National Natural Science Foundation of China (No. 10572054) and the Key Project of the National Science Foundation of China (No. 11032005)
Nonlinear stability of sensor elastic element—corrugated shallow spherical shell in coupled multi-field is studied. With the equivalent orthotropic parameter obtained by the author, the corrugated shallow spherical shell is considered as an orthotropic shallow spherical shell, and geometrical nonlinearity and transverse shear deformation are taken into account. Nonlinear governing equations are obtained. The critical load is obtained using a modified iteration method. The effect of temperature variation and shear rigidity variation on stability is analyzed.
Yongan ZHU, Fan WANG, Renhuai LIU . Nonlinear stability of sensor elastic element—corrugated shallow spherical shell in coupled multi-field[J]. Applied Mathematics and Mechanics, 2017 , 38(6) : 877 -888 . DOI: 10.1007/s10483-017-2201-7
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