多变量样条元法分析弹性地基板的弯曲、振动与稳定问题<sup>*</sup>

沈鹏程; 何沛祥

多变量样条元法分析弹性地基板的弯曲、振动与稳定问题^*

合肥工业大学计算中心, 合肥 230009

基金项目: * 国家自然科学基金

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出版历程
- 收稿日期: 1994-10-04
- 修回日期: 1995-10-15
- 刊出日期: 1997-08-15

Analysis of Bending, Vibration and Stability for Thin Plate on Elastic Foundation by the Multivariable Spline Element Method

Computer Centre, Hefei University of Technology, Hefei 230009, P. R. China

摘要

摘要: 本文应用双三次乘积型二元B样条函数来构造弹性地基板的位移、弯矩和扭矩等多种场函数,由混合变分原理导出多变量样条无法方程.文中,对弹性地基板的弯曲、振动与稳定问题作了分析与计算.由于,本文方法设定了各自独立的场函数,因此,所算得的场未知量如位移、弯矩和扭矩值的精度均比较高.
- 多变量样条元法 /
- 双三次B样条 /
- 弹性地基板
Abstract: In this paper, the bicubic splines in product form are used to construct the multi-field functions for bending moments, twisting moment and transverse displacement ofthe plate on elastic foundation. The multivariable spline element equations are derived,based on the mixed variational principle. The analysis and calculations of bending,vibration and stability of the plates on elastic foundation are presented in the paper.Because the field functions of plate on elastic foundation are assumed independently,the precision of the field variables of bending moments and displacement is high.
- multivariable spline element method /
- bicubic B spline /
- plate on elastic foundation

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参考文献(22)

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