Boundary conditions for the bending of a piezoelectric beam
Boundary conditions for the bending of a piezoelectric beam
复制标题
压电梁弯曲的边界条件
DOI：
10.1007/s11433-008-0095-5
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发表时间：
2008-06
期刊：
影响因子：
--
通讯作者：
Zhao BaoSheng
中科院分区：
文献类型：
--
作者：
Xu SiPeng;Gao Yang;Zhao BaoSheng
对于横向各向同性压电介质中的梁弯曲，以一种新颖的方式应用倒易定理和压电弹性通解，以获得对一般边缘几何形状和载荷的梁的所有阶次精确的适当应力和混合边界条件。通过推广 Gregory 和 Wan 开发的方法，在边缘数据上建立了快速衰减解存在的一组必要条件。光束的规定边缘数据必须满足这些条件，以便它们可以在光束内产生衰减状态。当梁边缘施加应力和混合条件时，明确导出了压电梁弯曲变形情况下的衰减状态条件。然后将它们用于梁理论解（或内部解）的边界条件的正确表述。此外，还制定了弹性梁的解析解来验证边界条件的有效性。对于应力数据，我们的边界条件与传统形式的梁理论中获得的边界条件一致。更重要的是，首次获得了两组混合边缘数据的适当边界条件。
For beam bending in transversely isotropic piezoelectric media, the reciprocal theorem and the general solution of piezoelasticity are applied in a novel way to obtain the appropriate stress and mixed boundary conditions accurate to all orders for the beam of general edge geometry and loadings. By generalizing the method developed by Gregory and Wan, a set of necessary conditions on the edge-data for the existence of a rapidly decaying solution is established. The prescribed edge-data of the beam must satisfy these conditions in order that they could generate a decaying state within the beam. When stress and mixed conditions are imposed on the beam edge, these decaying state conditions for the case of bending deformation of piezoelectric beam are derived explicitly. They are then used for the correct formulation of boundary conditions for the beam theory solution (or the interior solution). Besides, an analytical solution of elastic beam is formulated to verify validity of our boundary conditions. For the stress data, our boundary conditions coincide with those obtained in conventional forms of beam theories. More importantly, the appropriate boundary conditions with two sets of mixed edge-data are obtained for the first time.
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DOI：
10.1016/j.ijsolstr.2005.07.032
发表时间：
2006-03
影响因子：
3.6
作者：
F. Wan
通讯作者：
F. Wan
DOI：
10.1016/j.ijsolstr.2008.12.021
发表时间：
2005-08
期刊：
Proceedings of the 2005 IEEE International Frequency Control Symposium and Exposition, 2005.
影响因子：
--
作者：
M.S. Patel;Y. Yong;M. Tanaka;T. Imai
通讯作者：
M.S. Patel;Y. Yong;M. Tanaka;T. Imai
影响因子：
3.6
作者：
R. D. Gregory;F. Wan
通讯作者：
R. D. Gregory;F. Wan
影响因子：
6.4
作者：
Gao Yang;Wang Min-zhong
通讯作者：
Gao Yang;Wang Min-zhong
影响因子：
--
作者：
Zhang Lin-nan;Shi Zhi-fei
通讯作者：
Zhang Lin-nan;Shi Zhi-fei