Structural and Multidisciplinary Optimization

, Volume 60, Issue 5, pp 2131–2156 | Cite as

An investigation on design of signs in composite laminates to control bending-twisting coupling effects using sign optimization algorithm

  • Zhao JingEmail author
  • Jianqiao ChenEmail author
Research Paper


A sign optimization algorithm (SOA) is proposed to design the “±” signs in composite laminates to control the bending-twisting coupling effects. Owing to that the bending-twisting coupling stiffness are cubic on thickness, the innovation is to design the signs of ply orientations from the mid-plane to the outermost sequentially and iteratively. In this manner, the nondimensional anisotropic coefficients are controlled to the target values. Numerical examples are adopted to verify the effectiveness and efficiency of SOA. First, the signs of symmetric laminates [θ32]s are optimized with various boundaries, load ratios, and aspect ratios to show the bending-twisting coupling effects on bending, buckling, and vibration responses of composite plates. Second, the bending-twisting coupling effects are minimized since they may cause large errors in buckling load prediction when using closed-form solution after neglecting them. Third, the optimal sequences obtained from heuristic algorithms are employed for sign optimization. Results show that the bending-twisting coupling effects cannot be neglected; moreover, the buckling and vibration performances can be further improved by redesigning “±” signs in composite laminates. This research aims to provide a design technique to minimize the error induced by bending-twisting coupling and increase the probability to find the global optimum.


Sign optimization algorithm Composite laminates Bending-twisting coupling Bending Buckling Vibration 



This work is supported by the Project funded by the National Natural Science Foundation of China (No. 11572134) and the Project funded by China Postdoctoral Science Foundation (No. 2017M612443).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

Supplementary material

158_2019_2315_MOESM1_ESM.pdf (264 kb)
ESM 1 (PDF 263 kb)
158_2019_2315_MOESM2_ESM.pdf (788 kb)
ESM 2 (PDF 787 kb)


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MechanicsHuazhong University of Science and TechnologyWuhanChina
  2. 2.Hubei Key Laboratory for Engineering Structural Analysis and Safety AssessmentWuhanChina

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