Abstract：As natural frequencies of in-plane vibration of a rectangular plate are much higher than usual excitation frequencies,study on plates’ in-plane vibration has been in a state of stagnation for more than one hundred years. With the rapid development of high-speed aircrafts and warships,and the development of linear piezoelectric ultrasonic motors,in-plane vibration problems of plates gradually become hot topics in engineering. Here,parameters of inhomogeneous piezoelectric material were assumed to vary with the same exponent form along its thickness direction. Basic dynamic equations for in-plane free vibration of an inhomogeneous rectangular piezoelectric plate were derived. Using the variables separation method,the exact solution to in-plane free vibration of the inhomogeneous rectangular piezoelectric plate with 4-side simply supported was studied in detail. The variation laws between non-uniform coefficient and the plate’s natural frequencies were deduced. Finally,the corresponding problems were discussed with examples.
刘宗民，张健，宋海燕. 非均匀压电薄板面内自由振动的精确解[J]. 振动与冲击, 2019, 38(7): 134-138.
LIU Zongmin, ZHANG Jian, SONG Haiyan. Exact solution to in-plane free vibration of an inhomogeneous rectangular piezoelectric plate. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(7): 134-138.
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