Nonlinear stability of sensor elastic element—corrugated shallow spherical shell in coupled multi-field

doi:10.1007/s10483-017-2201-7

Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (6): 877-888.doi: https://doi.org/10.1007/s10483-017-2201-7

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Nonlinear stability of sensor elastic element—corrugated shallow spherical shell in coupled multi-field

Yongan ZHU¹, Fan WANG¹, Renhuai LIU^1,2

1. Institute of Applied Mechanics, Jinan University, Guangzhou 510632, China;
2. Key Laboratory of Disaster Forecast and Control in Engineering of Ministry of Education, Jinan University, Guangzhou 510632, China

Received:2016-07-01 Revised:2016-09-25 Online:2017-06-01 Published:2017-06-01
Contact: Fan WANG E-mail:twfan@jnu.edu.cn
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)

Abstract

Abstract:

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.

Key words: void damage, elastic microstructure, pressure vessel, multi-field, stability, critical load, modified iteration method, corrugated shallow spherical shell, temperature variation

2010 MSC Number:

74A40
74A60

Yongan ZHU, Fan WANG, Renhuai LIU. Nonlinear stability of sensor elastic element—corrugated shallow spherical shell in coupled multi-field. Applied Mathematics and Mechanics (English Edition), 2017, 38(6): 877-888.

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References

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Nonlinear stability of sensor elastic element—corrugated shallow spherical shell in coupled multi-field

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