一边弹性支承三边自由矩形板对接处角刚度的识别

Identification of angular stiffness of joint for rectangular plates with one-edge elastic supporting and three-edge free

通过试验模态分析,寻找一边弹性支承三边自由对接长方形板的最低阶弯曲振型及对应的固有频率,将对接板的动力学问题转化为一边弹性支承的对接梁来求解,借助计算机代数语言,编写对接梁的传递矩阵法程序,推导出对接处含角刚度作为符号的方程,输入板的最低阶弯曲振型所对应的固有频率就可识别出该处的角刚度,并通过实例验证此法的有效性.

By means of experimental modal analysis,the lowest order mode shape,together with relevant natural frequency,is first detected on a joint-plate with one-edge elastic supporting and three-edge free.In this way,the joint-plate dynamics is then converted into joint-beam with one-edge elastic supporting.In details,the joint-plate transfer matrix is programmed in the context of computer algebra language.Furthermore,the jointly-angular stiffness is used as a symbol for equation deduction.Next,the angular stiffness can be obtained based on the natural frequency regarding the lowest order bending bending mode shape.Finally,the effectiveness of this method has been validated by experiment.