摘要
文章对矩形薄板的线性弯曲挠度问题,提出了一种数值方法—微分求积法,此方法从矩形薄板的弯曲控制微分方程出发,在板域内采用DQ法(differential quadrature method),得到求解以板各结点弯曲挠度位移场为全部待定参数的线性方程组,只需一次求解该方程组即可得到各结点的位移场,再由高阶Lagrange插值即可得到全板域内各处弯曲挠度位移场。
This paper presents a method getting the deflection of thin plates under complicated loads and supporting conditions, which is called DQM. This method cuts some points along the two dimensions on the plates firstly, then uses DQM on the control formula of deflection and the formulas of edge conditions, so gets a series of linear formulas, according those formulas, deflections of the plates last. can get the deflection of all the points ,then gets all deflections of the plates last.
出处
《四川理工学院学报(自然科学版)》
CAS
2007年第1期99-103,共5页
Journal of Sichuan University of Science & Engineering(Natural Science Edition)
关键词
解析法
数值法
矩形板
DQ法
analytic method
numerical method
rectangular plates
DQ method