| 变厚度矩形薄板弯曲问题的GD法研究 |
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| 引用本文： | 谢刚,彭建设,杨柳,罗光兵. 变厚度矩形薄板弯曲问题的GD法研究[J]. 成都大学学报(自然科学版), 2011, 30(1): 36-39 |
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| 作者姓名： | 谢刚 彭建设 杨柳 罗光兵 |
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| 作者单位： | 谢刚,杨柳,XIE Gang,YANG Liu(西华师范大学物理与电子信息学院,四川南充,637002);彭建设,PENG Jianshe(成都大学工业制造学院,四川成都,610106);罗光兵,LUO Cuangbing(西南交通大学牵引动力国家重点实验室,四川成都,610031) |
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| 摘 要： | 针对矩形薄板的线性挠曲控制微分方程及边界条件,在空间域采用GD法离散,得到求解以薄板各节点弯曲挠度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节点的弯曲挠度,再用高阶La-grange插值即可得到薄板全域内任意点的挠度.
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| 关 键 词： | 变厚度薄板 GD法 数值法 挠度 |
Research of GD Method on Crooking of Rectangular Thin Plate with Variable Thickness |
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| XIE Gang,PENG Jianshe,YANG Liu,LUO Guangbing. Research of GD Method on Crooking of Rectangular Thin Plate with Variable Thickness[J]. Journal of Chengdu University (Natural Science), 2011, 30(1): 36-39 |
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| Authors: | XIE Gang PENG Jianshe YANG Liu LUO Guangbing |
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| Affiliation: | XIE Gang1,PENG Jianshe2,YANG Liu1,LUO Guangbing3(1.School of Physics and Electronic Information,China West Normal University,Nanchong 637002,China,2.School of Industrial Manufacturing,Chengdu University,Chengdu 610106,3.Traction Power State Key Laboratory,Southwest Jiaotong University,Chengdu 610031,China) |
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| Abstract: | On rectangular plate linear differential equations and boundary conditions for deflection,GDM(General Differential method) was used in the discrete space domain to obtain linear equations for solving the thin plate bending deflection for all the unknown parameters of each node.After once solution,deflection of each node could be obtained and high order Lagrange interpolation was used to obtain the deflection at any point. |
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| Keywords: | plate with variable thickness General Differential method numerical method deflection |
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