### 抄録

We concentrate our attention on developing a meshfree flat-shell formulation for evaluating linear buckling loads and mode shapes (modes) of structural plates employing an eigen value analysis. A Galerkin-based shear deformable flat-shell formulation for that purpose is proposed. The in-plane and out-of-plane deformations are interpolated using the reproducing kernel particle method (RKPM), while the two membrane deformations, and the three deflection and rotational components are, respectively, approximated through a plane stress condition and Mindlin–Reissner plate theory. The meshfree discretization by which, as a consequence, constructs five degrees of freedom per node. A generalized eigenvalue problem for the solution of buckling loads and modes of the structural plates is then described. The stiffness matrices of the linear buckling analysis are numerically integrated based on the stabilized conforming nodal integration (SCNI) and sub-domain stabilized conforming integration (SSCI). The RKPM and SCNI/SSCI based on Galerkin meshfree formulation, i.e., stabilized meshfree Galerkin method, can overcome the shear locking problem by imposing the Kirchhoff mode reproducing condition. In addition, a singular kernel (SK) function is included in the meshfree interpolation functions to accurately impose the essential boundary conditions. The merits of the developed formulation are demonstrated through numerical buckling experiments of several examples of plates, by which the accuracy and performance of the proposed method are investigated and discussed in detail. It indicates from our numerical results of buckling loads and modes that the proposed meshfree formulation is accurate and useful in the simulation of buckling problems of structural stiffened plates.

元の言語 | 英語 |
---|---|

ページ（範囲） | 501-512 |

ページ数 | 12 |

ジャーナル | Journal of Marine Science and Technology (Japan) |

巻 | 22 |

発行部数 | 3 |

DOI | |

出版物ステータス | 出版済み - 9 1 2017 |

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### All Science Journal Classification (ASJC) codes

- Oceanography
- Ocean Engineering
- Mechanics of Materials
- Mechanical Engineering

### これを引用

*Journal of Marine Science and Technology (Japan)*,

*22*(3), 501-512. https://doi.org/10.1007/s00773-017-0433-2

**Meshfree flat-shell formulation for evaluating linear buckling loads and mode shapes of structural plates.** / Yoshida, K.; Sadamoto, S.; Setoyama, Y.; Tanaka, S.; Bui, T. Q.; Murakami, C.; Yanagihara, Daisuke.

研究成果: ジャーナルへの寄稿 › 記事

*Journal of Marine Science and Technology (Japan)*, 巻. 22, 番号 3, pp. 501-512. https://doi.org/10.1007/s00773-017-0433-2

}

TY - JOUR

T1 - Meshfree flat-shell formulation for evaluating linear buckling loads and mode shapes of structural plates

AU - Yoshida, K.

AU - Sadamoto, S.

AU - Setoyama, Y.

AU - Tanaka, S.

AU - Bui, T. Q.

AU - Murakami, C.

AU - Yanagihara, Daisuke

PY - 2017/9/1

Y1 - 2017/9/1

N2 - We concentrate our attention on developing a meshfree flat-shell formulation for evaluating linear buckling loads and mode shapes (modes) of structural plates employing an eigen value analysis. A Galerkin-based shear deformable flat-shell formulation for that purpose is proposed. The in-plane and out-of-plane deformations are interpolated using the reproducing kernel particle method (RKPM), while the two membrane deformations, and the three deflection and rotational components are, respectively, approximated through a plane stress condition and Mindlin–Reissner plate theory. The meshfree discretization by which, as a consequence, constructs five degrees of freedom per node. A generalized eigenvalue problem for the solution of buckling loads and modes of the structural plates is then described. The stiffness matrices of the linear buckling analysis are numerically integrated based on the stabilized conforming nodal integration (SCNI) and sub-domain stabilized conforming integration (SSCI). The RKPM and SCNI/SSCI based on Galerkin meshfree formulation, i.e., stabilized meshfree Galerkin method, can overcome the shear locking problem by imposing the Kirchhoff mode reproducing condition. In addition, a singular kernel (SK) function is included in the meshfree interpolation functions to accurately impose the essential boundary conditions. The merits of the developed formulation are demonstrated through numerical buckling experiments of several examples of plates, by which the accuracy and performance of the proposed method are investigated and discussed in detail. It indicates from our numerical results of buckling loads and modes that the proposed meshfree formulation is accurate and useful in the simulation of buckling problems of structural stiffened plates.

AB - We concentrate our attention on developing a meshfree flat-shell formulation for evaluating linear buckling loads and mode shapes (modes) of structural plates employing an eigen value analysis. A Galerkin-based shear deformable flat-shell formulation for that purpose is proposed. The in-plane and out-of-plane deformations are interpolated using the reproducing kernel particle method (RKPM), while the two membrane deformations, and the three deflection and rotational components are, respectively, approximated through a plane stress condition and Mindlin–Reissner plate theory. The meshfree discretization by which, as a consequence, constructs five degrees of freedom per node. A generalized eigenvalue problem for the solution of buckling loads and modes of the structural plates is then described. The stiffness matrices of the linear buckling analysis are numerically integrated based on the stabilized conforming nodal integration (SCNI) and sub-domain stabilized conforming integration (SSCI). The RKPM and SCNI/SSCI based on Galerkin meshfree formulation, i.e., stabilized meshfree Galerkin method, can overcome the shear locking problem by imposing the Kirchhoff mode reproducing condition. In addition, a singular kernel (SK) function is included in the meshfree interpolation functions to accurately impose the essential boundary conditions. The merits of the developed formulation are demonstrated through numerical buckling experiments of several examples of plates, by which the accuracy and performance of the proposed method are investigated and discussed in detail. It indicates from our numerical results of buckling loads and modes that the proposed meshfree formulation is accurate and useful in the simulation of buckling problems of structural stiffened plates.

UR - http://www.scopus.com/inward/record.url?scp=85014081343&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85014081343&partnerID=8YFLogxK

U2 - 10.1007/s00773-017-0433-2

DO - 10.1007/s00773-017-0433-2

M3 - Article

AN - SCOPUS:85014081343

VL - 22

SP - 501

EP - 512

JO - Journal of Marine Science and Technology

JF - Journal of Marine Science and Technology

SN - 0948-4280

IS - 3

ER -