دانلود رایگان مقاله سری راه حل مثلثاتی برای تحلیل پرتو کامپوزیت متورق

Abstract

A new analytical solution based on a higher-order beam theory for static, buckling and vibration of laminated composite beams is proposed in this paper. The governing equations of motion are derived from Lagrange’s equations. An analytical solution based on trigonometric series, which satisfies various boundary conditions, is developed to solve the problem. Numerical results are obtained to compare with previous studies and to investigate the effects of length-to-depth ratio, fibre angles and material anisotropy on the deflections, stresses, natural frequencies and critical buckling loads of composite beams with various configurations.

4. Conclusions

The authors proposed a new analytical solution for static, buckling and vibration of laminated composite beams based on a higher-order beam theory. This solution based on trigonometric series are developed for various boundary conditions. Numerical results are obtained to compare with previous studies and to investigate effects of fibre angle and material anisotropy on the deflections, stresses, natural frequencies, critical buckling loads and corresponding mode shapes. The obtained results showed that the proposed series solution converges quickly for buckling analysis. The present solution is found to simple and efficient in analysis of laminated composite beams with various boundary conditions.