A meshfree method with gradient smoothing for free vibration and buckling analysis of a strain gradient thin plate
In this paper, a meshfree Galerkin approach is presented for analysis of free vibration and buckling of a strain gradient thin plate. A cubic moving least square or reproducing kernel approximation with C2 continuity is used to ensure convergence. Due to smoothness of the meshfree approximation, the...
| Main Authors: | , , , |
|---|---|
| Format: | Journal Article |
| Language: | English |
| Published: |
ELSEVIER SCI LTD
2021
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/86232 |
| _version_ | 1848764796684468224 |
|---|---|
| author | Wang, B.B. Lu, Chunsheng Fan, C.Y. Zhao, M.H. |
| author_facet | Wang, B.B. Lu, Chunsheng Fan, C.Y. Zhao, M.H. |
| author_sort | Wang, B.B. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, a meshfree Galerkin approach is presented for analysis of free vibration and buckling of a strain gradient thin plate. A cubic moving least square or reproducing kernel approximation with C2 continuity is used to ensure convergence. Due to smoothness of the meshfree approximation, the only variable is the deflection of a thin plate. To improve the computational accuracy, a consistent integration scheme with gradient smoothing is introduced to construct stiffness and geometrical stiffness matrices. The effectiveness of such an approach is confirmed by numerical results, and it is superior to a standard Gauss integration based meshfree Galerkin method. Further, the influence of classical and high order boundary conditions is investigated on the natural frequencies and critical buckling loads of strain gradient thin plates. |
| first_indexed | 2025-11-14T11:25:03Z |
| format | Journal Article |
| id | curtin-20.500.11937-86232 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T11:25:03Z |
| publishDate | 2021 |
| publisher | ELSEVIER SCI LTD |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-862322021-11-19T05:40:07Z A meshfree method with gradient smoothing for free vibration and buckling analysis of a strain gradient thin plate Wang, B.B. Lu, Chunsheng Fan, C.Y. Zhao, M.H. Science & Technology Technology Physical Sciences Engineering, Multidisciplinary Mathematics, Interdisciplinary Applications Engineering Mathematics Free vibration Buckling Meshfree Strain gradient Thin plate Gradient smoothing SUPPORT INTEGRATION SCHEME POINT INTERPOLATION METHOD NODAL INTEGRATION QUADRATIC EXACTNESS NONLOCAL ELASTICITY NONLINEAR VIBRATION LEAST-SQUARES FORMULATION PLASTICITY SURFACE In this paper, a meshfree Galerkin approach is presented for analysis of free vibration and buckling of a strain gradient thin plate. A cubic moving least square or reproducing kernel approximation with C2 continuity is used to ensure convergence. Due to smoothness of the meshfree approximation, the only variable is the deflection of a thin plate. To improve the computational accuracy, a consistent integration scheme with gradient smoothing is introduced to construct stiffness and geometrical stiffness matrices. The effectiveness of such an approach is confirmed by numerical results, and it is superior to a standard Gauss integration based meshfree Galerkin method. Further, the influence of classical and high order boundary conditions is investigated on the natural frequencies and critical buckling loads of strain gradient thin plates. 2021 Journal Article http://hdl.handle.net/20.500.11937/86232 10.1016/j.enganabound.2021.07.014 English ELSEVIER SCI LTD restricted |
| spellingShingle | Science & Technology Technology Physical Sciences Engineering, Multidisciplinary Mathematics, Interdisciplinary Applications Engineering Mathematics Free vibration Buckling Meshfree Strain gradient Thin plate Gradient smoothing SUPPORT INTEGRATION SCHEME POINT INTERPOLATION METHOD NODAL INTEGRATION QUADRATIC EXACTNESS NONLOCAL ELASTICITY NONLINEAR VIBRATION LEAST-SQUARES FORMULATION PLASTICITY SURFACE Wang, B.B. Lu, Chunsheng Fan, C.Y. Zhao, M.H. A meshfree method with gradient smoothing for free vibration and buckling analysis of a strain gradient thin plate |
| title | A meshfree method with gradient smoothing for free vibration and buckling analysis of a strain gradient thin plate |
| title_full | A meshfree method with gradient smoothing for free vibration and buckling analysis of a strain gradient thin plate |
| title_fullStr | A meshfree method with gradient smoothing for free vibration and buckling analysis of a strain gradient thin plate |
| title_full_unstemmed | A meshfree method with gradient smoothing for free vibration and buckling analysis of a strain gradient thin plate |
| title_short | A meshfree method with gradient smoothing for free vibration and buckling analysis of a strain gradient thin plate |
| title_sort | meshfree method with gradient smoothing for free vibration and buckling analysis of a strain gradient thin plate |
| topic | Science & Technology Technology Physical Sciences Engineering, Multidisciplinary Mathematics, Interdisciplinary Applications Engineering Mathematics Free vibration Buckling Meshfree Strain gradient Thin plate Gradient smoothing SUPPORT INTEGRATION SCHEME POINT INTERPOLATION METHOD NODAL INTEGRATION QUADRATIC EXACTNESS NONLOCAL ELASTICITY NONLINEAR VIBRATION LEAST-SQUARES FORMULATION PLASTICITY SURFACE |
| url | http://hdl.handle.net/20.500.11937/86232 |