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| High order meshfree method with nodal integration for thin plate bending analysis |
| Received:October 10, 2017 Revised:December 29, 2017 |
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| DOI：10.7511/jslx20171010001 |
| KeyWord:thin plate bending meshfree curvature smoothing nodal integration high order approximation |
| Author | Institution |
| 王冰冰 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 段庆林 |
成都理工大学 地质灾害防治与地质环境保护国家重点实验室, 成都 ;大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 李书卉 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
| 杨迪雄 |
大连理工大学 工业装备结构分析国家重点实验室, 大连 |
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| Abstract: |
| In this paper,high order meshfree method is employed to solve thin plate bending problems.Based on the developed linear curvature smoothing scheme,a nodal integration method is established by introducing the Taylor's expansion technique.The proposed nodal integration method is able to exactly reproduce the pure bending and linear bending modes.In contrast,the existing nodal integration method which dominates meshfree analysis of thin plate bending problems is only able to reproduce the pure bending mode.Numerical results show that the proposed method is able to exactly pass the pure bending and linear bending tests and obtain smooth,oscillation-free distribution of bending moments.In comparison with the standard Gauss integration method and the existing nodal integration method,the presented method shows remarkable advantages in computational accuracy,efficiency and bending moment distributions. |
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