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Nonlinear Dynamics of a Bi-stable Composite Shell for Morphing Applications

机译:用于变形应用的双稳态复合壳的非线性动力学

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A reduced order model for the transverse displacement dynamics of a bi-stable composite shell is derived to be used in morphing structures applica-tions. Love's equations of motion for general shells are used with the Von-Karman strain-displacement relations to obtain the governing dynamic equa-tions. A Galerkin approach is employed to obtain a set of modal nonlinear equations describing the solution for the transverse displacement. Frequency and time response diagrams are experimentally obtained and employed to reduce the order of the derived model. The reduced set of nonlinear modal equations are numerically solved to obtained the simulated frequency and time response for the shell. Experimental results are compared to those numerically simulated showing very good agreement. The capability to cap-ture the dynamics of the bi-stable shell with a simple model facilitates its integration with smart actuators rendering feasible the design of morphing structures.
机译:导出了双稳态复合材料壳横向位移动力学的降阶模型,用于变形结构应用。通用壳的Love的运动方程式与Von-Karman应变-位移关系一起使用,从而获得了主导的动态方程。采用Galerkin方法获得一组描述横向位移解的模态非线性方程。通过实验获得频率和时间响应图,并将其用于减少导出模型的阶数。对简化的非线性模态方程组进行数值求解,以获得壳的模拟频率和时间响应。实验结果与数值模拟的结果进行了比较,显示出很好的一致性。利用简单的模型捕获双稳态壳体动力学的能力有助于将其与智能执行器集成在一起,从而使变形结构的设计可行。

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