J4  2011, Vol. 45 Issue (6): 1067-1073    DOI: 10.3785/j.issn.1008-973X.2011.06.018
 土木工程

1.浙江大学 土木工程学系,浙江 杭州 310058； 2.浙江大学宁波理工学院 土建分院,浙江 宁波 315100；
3. 浙江大学 工程力学系,浙江 杭州 310027
Three-dimensional pyroelectric analysis of
multilayered piezoelectric spherical shell
LIU Cheng-bin1, BIAN Zu-guang2, CHEN Wei-qiu3
1. Department of Civil Engineering, Zhejiang University, Hangzhou 310058, China; 2. Branch College of Civil
Engineering and Architecture, Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China;
3. Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, China
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Abstract:

A second-order homogeneous state equation was established from the equations governing the heat conduction in the spherical shell. It was solved by a successive use of series expansion technique and matrix theory. A transfer relation was obtained between the thermal state vectors at the inner and outer surfaces of the multilayered shell by using the continuity conditions at each interface, and the thermal field could be exactly determined once incorporating the prescribed surface temperatures into the relation. Based on the three-dimensional equations for a pyroelectric body in spherical coordinates, three displacement functions and two stress functions were introduced to obtain a second-order homogeneous state equation and a sixth-order inhomogeneous state equation. Exact solutions were obtained via a solution procedure similar to the thermal field. Through numerical examples, the steady-state responses of thin/thick single-layered piezoelectric spherical shells subject to prescribed temperatures at the inner and outer surfaces were given, and the difference in thermal response between a single-layered spherical shell and a multilayered one was discussed. It is shown that different thickness and structure style can obviously change the spherical shell’s pyroelectric effect.

 : O 343.6

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#### 引用本文:

LIU Cheng-bin, BIAN Zu-guang, CHEN Wei-qiu. Three-dimensional pyroelectric analysis of
multilayered piezoelectric spherical shell. J4, 2011, 45(6): 1067-1073.

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