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| Bending and natural frequency analysis of variable thickness stiffened plates on non-uniform elastic foundation based on meshless method |
| Received:June 10, 2020 Revised:September 18, 2020 |
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| DOI：10.7511/jslx20200610001 |
| KeyWord:meshless method elastic foundation stiffened plate variable thickness natural frequency |
| Author | Institution |
| 杨健生 |
广西大学 土木建筑工程学院, 南宁 |
| 曾治平 |
广西大学 土木建筑工程学院, 南宁 |
| 韦冬炎 |
广西大学 土木建筑工程学院, 南宁 |
| 彭林欣 |
广西大学 土木建筑工程学院, 南宁 ;广西大学 广西防灾减灾与工程安全重点实验室, 工程防灾与结构安全教育部重点实验室, 南宁 |
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| Abstract: |
| The paper analyzed the bending and frequency problems of ribbed plates on the non-uniform elastic foundation with variable thickness by a meshless method based on Moving Least-Squares(MLS) in conjunction with First-order Shear Deformation Theory(FSDT).First,the variable thickness plates and ribs are discretized respectively,and the potential energy functional of the variable thickness plates and ribs is derived.Secondly,the displacement continuity conditions between the rib and the variable thickness plate are used to convert the nodal parameters of the rib to the nodal parameters of the plate,and then the potential energy functional of the two are superimposed to obtain the total potential energy functional of the variable thickness stiffened plate.Finally,the governing equations of bending and frequency are acquired using the minimum energy theory and Hamilton theory respectively.The full transformation method is used while the displacement boundary is solved because the method mentioned above cannot apply the boundary condition directly.Bending of the variable thickness plate and frequency of the plate with variable thickness on the non-uniform elastic foundation are validated by comparing the results with those of the literatures.Variable thickness ribbed plates with different parameters are analyzed,which are analyzed with the FEM results.They show that the error between the results of the meshless method and the FEM and the error between the results of the meshless method and the literature are both less than 5%,which validates the effectiveness of the meshless method in calculating the bending and frequency of variable thickness ribbed plates on the non-uniform elastic foundation. |
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