Design of Bezier curve variable angle laminates and analysis on buckling property
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摘要: 基于二次Bezier曲线法，开展纤维变角度层合板的屈曲特性研究。首先，对原始的二次Bezier曲线进行了扩展，提出了分段式二次Bezier曲线变化方法，重新定义了纤维变角度铺放参考路径，确定了变角度层合板的表示形式。其次，以[0± < 20（β）65 >]2s和[90± < 20（β）65>]2s为例对变角度层合板的屈曲特性进行了有限元分析，并与定角度层合板对比。最后，研究了不同终止角α和连接点参数β对层合板屈曲性能的影响，结果表明：连接点参数β的增大使得两种变刚度层合板的线性屈曲载荷先增大后减小，终止角大于起始角时，层合板的一阶屈曲载荷逐渐增大，铺放角度的增大有利于层合板屈曲载荷的提高。Abstract: Based on quadratic Bezier curve, research on buckling property of laminates produced by fiber variable angle placement was studied. Firstly, a segmental quadratic Bezier curve fitting method was proposed by extending the original quadratic Bezier curve theory to redefine the reference path of fiber variable angle placement and determine the parameterized expression of the laminates laid according to variable angle. Secondly, taking the laminates laid by variable angle of[0± < 20(β)65>]2s and[90± < 20(β)65>]2s as examples, the buckling properties were analyzed through FEM method. And the comparison analysis with the buckling property of the laminates laid by constant angle was conducted. Finally, the influences of termination angles α and connecting point parameter β on the buckling property were studied. The results show that the linear buckling load of these two kinds of variable stiffness laminates first increases then decreases as β increases. And it is also found that the buckling load of first order increases gradually when the termination angle is larger than the initial angle, which indicates that increasing the placement angle is beneficial to improving the buckling load of the laminates.
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Keywords:
- variable angle /
- laminates /
- trajectory planning /
- buckling property /
- geometric imperfections
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