【作者】 王雷； 任秉银； 邹鸿生； 岳洪浩；

【Author】 Lei WANG~1,Bing-yin REN~1,Horn-sen TZOU~2,Hong-hao YUE~1 1 School of Mechatronics Engineering,Harbin Institute of Technology,Harbin 150001,China 2 School of Aeronautics and Astronautics,Zhejiang University,Hangzhou 310058,China

【机构】 黑龙江省哈尔滨市西大直街92号哈尔滨工业大学机电工程学院； 浙江省杭州市余杭塘路388号浙江大学航空航天学院；

【摘要】 针对层合于双曲率弹性薄壳的成型式压电传感器的信号分析问题,提出一种求解等效压电振动传感信号的简化通用计算方法。利用有限差分理论将传感器离散划分为多个子区域,位于压电传感器内部和边界的差分节点对应的子区域具有不同的有效区域面积。传感信号受这些有效区域面积、节点位移和壳的几何参数(拉梅系数和弯曲半径)影响,将传感信号偏微分方程转化为广义的有限差分方程。以欧拉伯努利悬臂梁及四边简支板上布置压电传感器为算例,分析其有限差分传感信号的简化解析式。该方法对通用双曲率薄壳具有几何兼容性,适用于任意形状的压电传感器输出信号分析。更多还原

【Abstract】 A simplified generic method of calculating equivalent piezoelectric sensor output signal is presented for solving the signal analysis problem of shaped piezoelectric sensors laminated on double- curvature elastic thin shell.Piezoelectric sensor is discretized into many sub-areas by finite difference(FD) method.The sub-areas of FD nodes located inside or on the edge of the sensor have different effective areas.The sensing signal is affected by these effective areas and their nodal displacements as well as geometric parameters(e.g. Lame parameters and radii of curvature) of the shell.The partial differential equation of the sensing signal is transformed to a general FD equation.In the case studies,FD sensing signal of distributed piezoelectric sensors laminated on an Euler-Bernoulli cantilever beam and a simply supported rectangular plate are analyzed,respectively.This method can be used in the output signal analysis of various shaped piezoelectric sensors.更多还原