Passive control of a composite laminated truncated conical shell via embedded NiTiNOL-steel wire ropes

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.