| Stress analysis of anisotropic thick laminates in cylindrical bending using a semi-analytical approach |
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| 作者姓名： | LU Chao-feng LIM C.W. XU Feng |
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| 作者单位： | Department of |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （No. 10432030）, the China Postdoctoral Science Foundation （No. 20060401071） and the Program for New Century Excellent Talent in University of China （No. NCET-05-0510） |
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| 摘 要： | Semi-analytical elasticity solutions for bending of angle-ply laminates in cylindrical bending are presented using the state-space-based differential quadrature method (SSDQM). Partial differential state equation is derived from the basic equations of elasticity based on the state space concept. Then, the differential quadrature (DQ) technique is introduced to discretize the longitu- dinal domain of the plate so that a series of ordinary differential state equations are obtained at the discrete points. Meanwhile, the edge constrained conditions are handled directly using the stress and displacement components without the Saint-Venant principle. The thickness domain is solved analytically based on the state space formalism along with the continuity conditions at interfaces. The present method is validated by comparing the results to the exact solutions of Pagano’s problem. Numerical results for fully clamped thick laminates are presented, and the influences of ply angle on stress distributions are discussed.
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| 关 键 词： | 弹性分析 状态空间 求面积方法 层压材料 |
| 收稿时间： | 29 December 2006 |
| 修稿时间： | 2006-12-29 |
Stress analysis of anisotropic thick laminates in cylindrical bending using a semi-analytical approach |
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| LU Chao-feng LIM C.W. XU Feng.Stress analysis of anisotropic thick laminates in cylindrical bending using a semi-analytical approach[J].Journal of Zhejiang University Science,2007,8(11):1740-1745. |
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| Authors: | Lü Chao-feng Lim C W Xu Feng |
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| Institution: | (1) Department of Civil Engineering, Zhejiang University, Hangzhou, 310027, China;(2) Department of Building and Construction, City University of Hong Kong, Kowloon, Hong Kong, China;(3) Zhejiang Tiandi Environmental Protection Engineering Co., Ltd., Hangzhou, 310012, China |
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| Abstract: | Semi-analytical elasticity solutions for bending of angle-ply laminates in cylindrical bending are presented using the state-space-based
differential quadrature method (SSDQM). Partial differential state equation is derived from the basic equations of elasticity
based on the state space concept. Then, the differential quadrature (DQ) technique is introduced to discretize the longitudinal
domain of the plate so that a series of ordinary differential state equations are obtained at the discrete points. Meanwhile,
the edge constrained conditions are handled directly using the stress and displacement components without the Saint-Venant
principle. The thickness domain is solved analytically based on the state space formalism along with the continuity conditions
at interfaces. The present method is validated by comparing the results to the exact solutions of Pagano’s problem. Numerical
results for fully clamped thick laminates are presented, and the influences of ply angle on stress distributions are discussed.
Project supported by the National Natural Science Foundation of China (No. 10432030), the China Postdoctoral Science Foundation
(No. 20060401071) and the Program for New Century Excellent Talent in University of China (No. NCET-05-0510) |
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| Keywords: | Semi-analytical elasticity solution State-space-based differential quadrature method (SSDQM) Angle-ply laminates Cylindrical bending |
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