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| Green quasifunction method for bending problem of simply-supported trapezoidal shallow spherical shells |
| Received:November 25, 2009 Revised:August 17, 2010 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201102021 |
| KeyWord:Green function integral equation shallow spherical shell bending problem |
| Author | Institution |
| 李善倾 |
重大工程灾害与控制教育部重点实验室 暨南大学 应用力学研究所,广州 |
| 袁鸿 |
重大工程灾害与控制教育部重点实验室 暨南大学 应用力学研究所,广州 |
| 薛兴伟 |
重大工程灾害与控制教育部重点实验室 暨南大学 应用力学研究所,广州 |
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| Abstract: |
| The idea of Green quasifunction method is clarified in detail by considering bending of simply-supported trapezoidal shallow spherical shells. A Green quasi-function is established by using the fundamental solution and boundary equation of the problem. This function satisfies the homogeneous boundary condition of the problem. The differential equation of the bending problem of simply-supported trapezoidal shallow spherical shells is reduced to two simultaneous Fredholm integral equations of the second kind by Green formula. There are multiple choices for the normalized boundary equation. Based on a chosen normalized boundary equation, a new normalized boundary equation can be established such that the singularity of the kernel of integral equations is overcome. Finally, the radial deflection of shell is obtained by the numerically discrete algebraic equations derived from the integral equations. Numerical results show high accuracy of the Green quasifunction method. |