Vibration Analysis of Beams by Spline Finite Element

• 作 者: 杨浩
• 机 构: Department of Civil Engineering,The University of Hong Kong,
• 出 处: 沈阳建筑大学学报(自然科学版)
• 发表日期: 2011年06期
• 关键词: spline exact cubic Spline assembly interpolation continuity transformed handle s

In this paper,the spline finite element method is developed to investigate free vibration problems of beams.The cubic B-spline functions are used to construct the displacement field.The assembly of elements and the introduction of boundary conditions follow the standard finite element procedure.The results under various boundary conditions are compared with those obtained by the exact method and the finite difference method.It shows that the results are in excellent agreement with the analytical results and much more accurate than the results obtained by the finite difference method,especially for higher order modes.

In this paper, the spline finite element method is developed to investigate free vibration problems of beams. The cubic B-spline functions are used to construct the displacement field. The assembly of elements and the introduction of boundary conditions follow the standard finite element procedure. The results under various boundary conditions are compared with those obtained by the exact method and the finite difference method. It shows that the results are in excellent agreement with the analytical results and much more accurate than the results obtained by the finite difference method, especially for higher order modes.