航空学报 > 1990, Vol. 11 Issue (10): 495-498

样条函数法在薄板弯曲中的应用

花迎春, 王德钊   

  1. 西北工业大学
  • 收稿日期:1988-11-14 修回日期:1989-09-03 出版日期:1990-10-25 发布日期:1990-10-25

APPLICATION OF SPLINE FUNCTION METHOD TO BENDING OF THIN PLATE

Hua Yingchuen, Wang Dezhao   

  1. Northwestern Polytechnical University
  • Received:1988-11-14 Revised:1989-09-03 Online:1990-10-25 Published:1990-10-25

摘要: <正> Large deflection bending problems of perfect and initially imperfect thin plates arc analysed by spline function method. The cubic spline is used as the interpolating functions, of the displacement components u, v and w. Formulas for dealing with usual boundary conditions arc given. Several examples arc given in the end of the papcr..In comparison with FEM, the spline function method has the following adavantagcs; higher accuracy, less preparatory work of the program and shorter CPU time.

关键词: 样条函数法, 薄板, 大挠度弯曲

Abstract: Large deflection bending problems of perfect and initially imperfect thin plates arc analysed by spline function method. The cubic spline is used as the interpolating functions, of the displacement components u, v and w. Formulas for dealing with usual boundary conditions arc given. Several examples arc given in the end of the papcr..In comparison with FEM, the spline function method has the following adavantagcs; higher accuracy, less preparatory work of the program and shorter CPU time.

Key words: spline function method, thin plate, large deflection bending