摘要
采用半解析有限柱壳条元法分析带加劲环的埋藏式压力钢管外压稳定性问题,轴向采用解析函数,周向采用离散的Hermite多项式函数。解析函数与离散的多项式函数相结合的位移模式,不但减小了自由度,提高了计算精度,而且能非常方便的处理可变的单元宽度模拟周向失稳屈曲波形变化的问题。这种方法与Amstutz方法比较,克服了Amstutz方法不考虑加劲圆环的约束作用及把压力钢管简化成圆环拱的计算。通过算例得出了结构外压失稳的欧拉曲线,验证了半解析有限柱壳条元法的正确性与合理性。
The semi、analytical cylinder shell finite strip element method is adopted in stability analysis for buried penstocks with stiffener rings under external water pressure, in which the analytic function is used in the axial direction, and the discrete Hermite multivariate function in the circumferential direction. The displacement mode obtained with the combination of the analytic function and the discrete multivariate function not only decreases the freedom degree, but also increases the accuracy of calculation. In addition, it is quite convenient with the method to simulate the wave shape changes of the buckling with variable element width due to circumferential off、stability. Compared with the Amstutz method, this method can overcome the insufficient calculation of the former, which does not consider the restraining function of the stiffener rings and must simplify a penstock into a circular ring arc in penstock stability analysis. The Euler curve of thin shell structural off、stability due to external water pressure is obtained and the correctness and reliability of the method are proved.
出处
《长江科学院院报》
CSCD
北大核心
2004年第5期14-16,共3页
Journal of Changjiang River Scientific Research Institute
基金
国家自然科学基金资助项目(50079005)
关键词
压力钢管
稳定性
屈曲波型
有限条元
penstock
stability
buckling wave shape
finite strip element
