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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2007, Vol. 8 Issue (11): 1740-1745    DOI: 10.1631/jzus.2007.A1740
Geotechnical & Civil Engineering     
Stress analysis of anisotropic thick laminates in cylindrical bending using a semi-analytical approach
LÜ Chao-feng, LIM C.W., XU Feng
Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China; Department of Building and Construction, City University of Hong Kong, Kowloon, Hong Kong, China; 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.

Key words： Linear quadratic regulator (LQR)      Formation control      Algebraic Riccati equation (ARE)      Optimal control      Multi-agent systems     
Received: 29 December 2006     
CLC:  O34  
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LÜ Chao-feng, LIM C.W., XU Feng. Stress analysis of anisotropic thick laminates in cylindrical bending using a semi-analytical approach. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2007, 8(11): 1740-1745.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2007.A1740     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2007/V8/I11/1740

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