摘要
介绍了广义微分求积法(GDQR)的一般原则,对比了用传统DQ法与GDQR在处理截面突变问题中的优劣,研究了用DQ法试解静水压力作用下变截面环向加箍贮液罐圆筒问题,由于变截面处的奇异性问题,所得到的结果不收敛,而采用GDQR重解该问题则得到收敛解.为验证GDQR的计算准确性,采用有限元法,将整个罐体离散为5 173个壳单元求得位移和应力,可知两者位移误差为2.4%,应力误差为4.2%,显然对于本问题GDQR解的精度是很高的.在工业中为方便计算通常将环箍简化为集中力,在GDQR计算环箍高度为200 mm的基础上,进一步讨论了能达到的工业精度要求的环箍最高高度,其结果可供一类工程应用参考.
A generalized differential quadrature rule （GDQR） and the differential quadrature method （DQM） were applied to obtain solution of deformation and internal forces of the banded storage tank circumferentially with stepped wall thickness. Compared with the DQM solution, it was shown that the solutions obtained from GDQR were better than those from the DQM in the solution of this problem and DQM can＇t be used to solve those problems. By FEM, the correctness of GDOR was verified. The tank could be parted 5173 units and gotten the solution of deformation and internal forces by FEM. Compared with GDQR and FEM, the error of displacement was 2.4 percent and the error of force was 4.2 percent in the solutions. It was seen that GDQR was very precise. In industry, the stepped wall is often simplified as effects of force. On the basis of calculating the hoop height with 200 mm, the highest height of hoop required by industry precision was discussed. It can provide application reference for an engineering project.
出处
《华中科技大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2006年第1期101-104,共4页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
关键词
贮液罐
GDQR变截面
加箍
storage tank
GDQR
stepped wall thickness
banded circumferential
