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均匀分布荷载作用下压电悬臂梁弯曲问题解析解
ANALYTICAL SOLUTION OF THE BENDING PROBLEM OF PIEZOELECTRICITY CANTILEVER BEAM UNDER UNIFORMLY DISTRIBUTED LOADING
【摘要】 对由横观各向同性压电介质构成的悬臂梁在均匀分布荷载作用下的弯曲问题进行了研究 .采用逆解法 ,建立了问题的应力函数与电势分布函数 ,进而得到问题的精确多项式解析解 .
【Abstract】 The bending problem of a cantilever beam made of transversely isotropic piezoelectricity medium under uniformly distributed loading is studied. By the method of inverse solution, the stress function and electric potential distribution function of the problem are established. Analytical solution in polynomial expression of this problem is acquired.
【关键词】 悬臂梁;
压电;
逆解法;
多项式解;
【Key words】 cantilever beam; piezoelectricity; inverse solution method; solution of polynomial expression;
【Key words】 cantilever beam; piezoelectricity; inverse solution method; solution of polynomial expression;
【基金】 北方交通大学论文基金资助
- 【文献出处】 固体力学学报 ,Acta Mechanica Solida Sinica , 编辑部邮箱 ,2002年03期
- 【分类号】O482.41
- 【被引频次】18
- 【下载频次】354