Vibration analyses of general thin and moderately thick laminated composite curved beams with variable curvatures and general boundary conditions

Abstract

An exact semianalytical method for vibration analysis of general thin and moderately thick laminated composite curved beams with variable curvatures and general boundary conditions is presented. In the framework of the first-order shear deformation theory, the method combines the variational principle and multilevel partition technique. As one of the innovation points, the general boundary conditions are enforced by using the virtual boundary spring technology. Each of the fundamental beam unknowns is then invariantly expanded as Jacobi polynomials. The convergence study and numerical verifications of the laminated composite curved beams with various boundary conditions are carried out.

Keywords:

• Jacobi polynomials
• vibration analysis
• laminated composite curved beams
• variable curvatures
• general boundary conditions

Acknowledgments

The authors would like to thank the anonymous reviewers for their very valuable comments.

Disclosure statement

No potential conflict of interest was reported by the authors.

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.

Additional information

Funding

The authors also gratefully acknowledge the financial support from the National Natural Science Foundation of China [No. 51705537, 51535012] and the Natural Science Foundation of Hunan Province of China [2018JJ3661]. The authors gratefully acknowledge the supports from State Key Laboratory of High Performance Complex Manufacturing, Central South University, China [Grant No. ZZYJKT2018-11].