Analysis and Calculation of the Nonlinear Stability of the Rotational Composite Shell
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摘要: 利用前屈曲一致理论和能量变分法分析计算了复合材料旋转壳非线性稳定性.前屈曲应变-位移关系采用非线性的卡门方程,能量积分采用数值积分,用势能最小原理求解前屈曲位移和内力,提出了求解临界载荷的实用计算方法,用FORTRAN语言编制了相应的计算机程序,并给出了算例.Abstract: By adopting the energy method,a new method to calculate the stability of the composite shell of revolution is presented.This method takes the influence of nonlinear prebuckling deformations and stresses on the buckling of the shell into account.The relationships between the prebuckling deformations and strains are calculated by nonlinear Kûrmûn equations.The numerical method is used to calculate the energy of the total system.The nonlinear equations are solved by combining gradient method and amendatory Newton iterative method.The computer program is also developed.An example is given to demonstrate the accuracy of the method presented.
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Key words:
- composite material /
- rotational shell /
- stability /
- nonlinear
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[1] 王震鸣.复合材料力学和复合材料结构力学[M].北京:机械工业出版社,1991,105~108,418~420. [2] 吴连元.板壳稳定性理论[M].武汉:华中理工大学出版社,1996,9~19. [3] 中国科学院力学研究所固体力学研究室板壳组.加筋圆柱曲板与圆柱壳[M].北京:科学出版社,1983,164~170. [4] 周承倜.薄壳弹塑性稳定理论[M].北京:国防工业出版社,1979.
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