受均布速度作用的有限板面导纳研究

Investigation of area mobility of a finite thin plate subject to a uniform velocity excitation

针对接触面积上典型的激励形式,均布速度激励,推导有限薄板上面导纳的理论计算方法。在推导过程中,将接触面积离散为较小的子面积,连续分布的激励和响应简化为作用在子面积中心的激励和响应,再利用有效点导纳的定义,获得有限薄板受均布速度激励的面导纳的理论计算公式;根据接触面积上复功率与面导纳的关系,推导出由传递点导纳获得有限板面导纳的测量方法。通过比较理论计算结果和实验测量结果,证明两种方法可行。对计算结果进行的分析还表明,子面积数的增加可以提高理论计算的精度,而测量精度在激励频率较高时受测量装置产生的弯矩影响较大。

The methods for theoretically calculating area mobility of a finite thin plate are derived for a typical excitation pattern, uniform velocity excitation, over a contact area. In the derivation, the contact area is discretised into sub-regions and the excitation and response continuously distributed over these sub-regions are simplified as acting at the centers of the sub-regions. Therefore, according to the concept of effective point mobility, the theoretical formula for area mobility of a finite thin plate subject to a uniform velocity excitation is obtained. According to the relation between complex power and area mobility, the measurement method of a finite plate is also obtained by means of transfer point mobility. When comparing results generated by theoretical calculation to patterns measured in experiment, consistent patterns are found, suggesting that the proposed methods are practical. The results of calculation show that the accu- racy of theoretical calculation increases with the number of sub-regions and is influenced by the moment caused by the experiment device, especially when the excitation frequency is high.