天津科技大学学报2018，Vol.33Issue(1)：71-78,8.DOI:10.13364/j.issn.1672-6510.20170238
微分求积法在工程结构动力学中的应用研究
Application of Differential Quadrature Method in Engineering Structural Dynamics
摘要
Abstract
This research has proved that the differential quadrature method is equivalent to the finite difference method of the highest accuracy and explicit expressions of differential quadrature weight coefficients are derived.How to apply the differential quadrature method to the partial differential equation of engineering structural dynamics has also been stud-ied.Numerical examples are given to illustrate the procedure of using the differential quadrature method to solve dynamic partial differential equations,and differential solution and analytical solution were compared,which justfied the validity of the differential quadrature method.The above research results show that the differential quadrature method is a simple and efficient method for studying the dynamics of engineering structures with high accuracy,and it is very convenient for pro-gramming.关键词
微分求积法/有限差分法/工程结构/动力学偏微分方程Key words
differential quadrature method/finite difference method/engineering structure/dynamic partial differential equation分类
数理科学引用本文复制引用
王冬梅,张伟,刘寅立..微分求积法在工程结构动力学中的应用研究[J].天津科技大学学报,2018,33(1):71-78,8.基金项目
国家自然科学基金资助项目(11502165,11290152,11427801) （11502165,11290152,11427801）
