A NiTiNOL-steel wire rope is proposed as a nonlinear passive damper to suppress the vibration of a composite laminated truncated conical shell under harmonic and random excitations. The equation of motion of a composite laminated truncated conical shell hosting four NiTiNOL-steel wire ropes is derived from the generalized Hamilton principle and the first-order shear deformation theory under the assumption of small deformation. The restoring and damping force of a NiTiNOL-steel wire rope fitting the parameters identified via the extended Bouc-Wen model is integrated into the equation of motion to generate the overall governing equations. A generalized differential quadrature method is applied to discretize the governing equations into a set of algebraic equations obtained by choosing suitable weight coefficients and grid points coordinates. The discrete equations are solved to obtain the frequency distribution and the associated mode shapes validated via the finite element method. Under harmonic excitations, the resonant peak value and the amplitude reduction rate in the frequency response corroborate the vibration reduction performance of different NiTiNOL-steel wire ropes configurations and found the best type. The effects of different parameters on the vibration reduction performance of different NiTiNOL-steel wire rope configurations are also evaluated. Under Gaussian white noise or colored noise excitations, the limited bandwidth ergodic root means square reveals that the best type under random excitation has the highest probability of realizing the best vibration reduction throughout the entire random process.

中文翻译：

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通过嵌入 NiTiNOL 钢丝绳对复合材料叠层截锥壳进行被动控制

提出将 NiTiNOL 钢丝绳作为非线性被动阻尼器，以抑制复合层压截锥壳在谐波和随机激励下的振动。包含四根 NiTiNOL 钢丝绳的复合材料叠层截锥壳的运动方程是根据小变形假设下的广义哈密顿原理和一阶剪切变形理论推导出来的。 NiTiNOL 钢丝绳的恢复力和阻尼力与通过扩展 Bouc-Wen 模型确定的参数相匹配，被集成到运动方程中以生成总体控制方程。采用广义微分求积法将控制方程离散化为一组代数方程，通过选择合适的权重系数和网格点坐标获得代数方程组。求解离散方程以获得频率分布和通过有限元方法验证的相关模态形状。在谐波激励下，频率响应中的谐振峰值和振幅减小率证实了不同镍钛诺尔钢丝绳配置的减振性能，并找到了最佳类型。还评估了不同参数对不同 NiTiNOL-钢丝绳配置的减振性能的影响。在高斯白噪声或有色噪声激励下，有限带宽遍历均方根表明，随机激励下的最佳类型在整个随机过程中实现最佳减振的概率最高。