力学与实践 ›› 2003, Vol. 25 ›› Issue (1): 0-0.DOI: 10.6052/1000-0992-2001-105

• 应用研究 •    

用功的互等定理求解矩形薄板的自然频率

陈玉骥   

  1. 佛山科学技术学院环境与土建学院
  • 收稿日期:2001-03-19 修回日期:2003-10-23 出版日期:2003-02-10 发布日期:2003-02-10

TO DETERMINE THE NATURAL FREQUENCY OF SQUARE PLATES WITH THE RECIPROCAL THEOREM OF WORK

  • Received:2001-03-19 Revised:2003-10-23 Online:2003-02-10 Published:2003-02-10

摘要: 从虚功原理出发,证明了薄板小挠度弯曲问题的功的互等定 理,并由此推出了求解矩形薄板自然频率的公式. 算例表明,该公 式计算简便,精度较高.

关键词: 功的互等定理,薄板,自然频率

Abstract: Using the virtual work principle, this paper proved the reciprocal theorem of work of thin plates with small deflections, and obtained the formula of the natural frequency of square plates. The example showed that the formula was simple and with high precisions.

Key words: the reciprocal theorem of work, thin plates, natural frequency