## 留言板

 引用本文: 彭建设, 张敬宇, 杨杰. 由Gurtin变分原理求解任意形状板动力响应的半解析法*[J]. 应用数学和力学, 1997, 18(11): 987-991.
Peng Jianshe, Zhang Jingyu, Yang Jie. Formulation of a Semi-Analytical Approach Based on Gurtin Variational Principle for Dynamic Response of General Thin Plates[J]. Applied Mathematics and Mechanics, 1997, 18(11): 987-991.
 Citation: Peng Jianshe, Zhang Jingyu, Yang Jie. Formulation of a Semi-Analytical Approach Based on Gurtin Variational Principle for Dynamic Response of General Thin Plates[J]. Applied Mathematics and Mechanics, 1997, 18(11): 987-991.

## Formulation of a Semi-Analytical Approach Based on Gurtin Variational Principle for Dynamic Response of General Thin Plates

• 摘要: 该半解析法以Gurtin变分原理为基础,在空间域作有限元离散,在时间域取级数.本文研究了任意形状板时域函数的取法,使得各种支承条件,任意形状板的动力响应问题均可由本计算模式得到具有相当精度和效率的解.
•  [1] M,E,Gurtin Variation principles for linear elastodynamics,Achive for Rational Mechanics and Analpsis.,18(1)(1964),34. [2] T,J.R.Hvgkes,A precis of developments in computional method for transient analysis,Transaction of the ASME,Journal of}Applied Mechanics,50(7)(1983),1037. [3] 罗恩,关于线弹性动力学中各种Gurtin型变分原理,中国科学,A辑.17(9)(1987),938. [4] 彭建设、张敬宇,由Gurtin变分原理求解一维动力响应的半解析法,力学学报,28(8)(1992),708. [5] J,Y,Zhang,W,R.Lewis and J.S.Peng,A semianalytic approach to general transient problems and its application to heat-transfer,Numerical Heat Transfer,Pt,B-Fund,23(4)(1993),413.

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##### 出版历程
• 收稿日期:  1996-09-06
• 修回日期:  1997-06-16
• 刊出日期:  1997-11-15

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