| Hierarchical closed form solutions for plates bent by localized transverse loadings |
| |
| 作者姓名： | CARRERA E. GIUNTA G. BRISCHETTO S. |
| |
| 作者单位： | Aeronautical and Space Department Politecnico di Torino c.so Duca degli Abruzzi 24 10129 Torino Italy，Aeronautical and Space Department，Politecnico di Torino c.so Duca degli Abruzzi 24 10129 Torino Italy，Aeronautical and Space Department，Politecnico di Torino c.so Duca degli Abruzzi 24 10129 Torino Italy |
| |
| 摘 要： | 3D and 2D closed form plate models are here applied to static analysis of simply supported square isotropic plates. 2D theories are hierarchically classified on the basis of the accuracy of the displacements and stresses obtained by comparison to the 3D exact results that could be assumed by the reader as benchmark for further analyses. Attention is mainly paid on localized loading conditions, that is, piecewise constant load. Also bi-sinusoidal and uniformly distributed loadings are taken into account. All of those configurations are considered in order to investigate the behavior of the 2D models in the case of continu- ous/uncontinuous, centric or off-centric loading conditions. The ratio between the side length a and the plate thickness h has been assumed as analysis parameter. Higher order 2D models yield accurate results for any considered load condition in the case of moderately thick plates, a/h=10. In the case of thick plates, a/h=5, and continuous/uncontinuous centric loading conditions high accuracy is also obtained. For the considered off-centric load condition and thick plates good results are provided for some output quantities. A better solution could be achieved by simply increasing the polynomial approximation order of the axiomatic 2D displacement field.
|
| 关 键 词： | 3D技术 分极模型 建筑梁 虚拟技术 板材 |
| 修稿时间： | 2007-02-122007-05-08 |
Hierarchical closed form solutions for plates bent by localized transverse loadings |
| |
| CARRERA E. GIUNTA G. BRISCHETTO S..Hierarchical closed form solutions for plates bent by localized transverse loadings[J].Journal of Zhejiang University Science,2007,8(7):1026-1037. |
| |
| Authors: | Carrera E Giunta G Brischetto S |
| |
| Institution: | (1) Aeronautical and Space Department, Politecnico di Torino, c.so Duca degli Abruzzi, 24, 10129 Torino, Italy |
| |
| Abstract: | 3D and 2D closed form plate models are here applied to static analysis of simply supported square isotropic plates. 2D theories are hierarchically classified on the basis of the accuracy of the displacements and stresses obtained by comparison to the 3D exact results that could be assumed by the reader as benchmark for further analyses. Attention is mainly paid on localized loading conditions, that is, piecewise constant load. Also bi-sinusoidal and uniformly distributed loadings are taken into account. All of those configurations are considered in order to investigate the behavior of the 2D models in the case of continu- ous/uncontinuous, centric or off-centric loading conditions. The ratio between the side length a and the plate thickness h has been assumed as analysis parameter. Higher order 2D models yield accurate results for any considered load condition in the case of moderately thick plates, a/h=10. In the case of thick plates, a/h=5, and continuous/uncontinuous centric loading conditions high accuracy is also obtained. For the considered off-centric load condition and thick plates good results are provided for some output quantities. A better solution could be achieved by simply increasing the polynomial approximation order of the axiomatic 2D displacement field. |
| |
| Keywords: | Exact 3D model Hierarchical 2D models Principle of Virtual Displacements (PVD) Localized loading Simply supported square isotropic plate |
| 本文献已被 CNKI 维普 SpringerLink 等数据库收录！ |
