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充液层合压电圆柱壳的自由振动
FREE VIBRATIONS OF MULTI-LAYERED PIEZOELECTRIC CYLINDRICAL SHELLS FILLED WITH FLUID
【摘要】 推导得到轴向极化的圆柱型正交各向异性压电弹性力学的三维状态方程。采用细分近似方法,得到了状态方程的解,并建立了圆柱壳内外表面边界量之间的传递关系。分析了内充可压缩流体的层合压电圆柱壳的自由振动问题,给出了频率方程的精确形式,并作了具体计算。
【Abstract】 The three-dimensional state equation was derived for a cylindrically orthotropic piezoelectric body with radial polarization. The layerwise method was employed to transform the state equation with variable coefficients to that with constant coefficients and the state variable solution was obtained. The free vibration problem of a fluid-filled multi-layered piezoelectric cylindrical shell was then analyzed. Exact form of frequency equation was presented and numerical results were obtained.
【关键词】 轴向极化;
层合压电圆柱壳;
传递矩阵法;
流固耦合;
【Key words】 radial polarization; multi-layered piezo-electric cylindrical shell; transfer matrix method; fluid-structure interaction;
【Key words】 radial polarization; multi-layered piezo-electric cylindrical shell; transfer matrix method; fluid-structure interaction;
【基金】 国家自然科学基金(10002016)
- 【文献出处】 力学与实践 ,Mechanics and Engineering , 编辑部邮箱 ,2003年06期
- 【分类号】O327
- 【被引频次】3
- 【下载频次】131