... clarifies the cause of localization via modal analysis. First, the equations of motion for a structure with multiple nonlinear TMDs, which are expressed in physical coordinates, are transformed to equations in modal coordinates. When identical TMDs are used, the lowest and highest modes are decoupled...

... , “ Nonlinear Vibration Localisation in a Symmetric System of Two Coupled Beams ,” Nonlinear Dyn. , 103 ( 4 ), pp. 3417 – 3428 . 10.1007/s11071-020-05760-x [23] Engels , R. C. , and Meirovitch , L. , 1978 , “ Response of Periodic Structures by Modal Analysis ,” J. Sound Vib. , 56...

...Jiang Zhao; Qiang Tian; Haiyan Hu Modal analysis of a rotating thin plate is made in this paper through the use of the thin plate elements described by the absolute nodal coordinate formulation (ANCF). The analytical expressions of elastic forces and their Jacobian matrices of the thin plate...

... ∂ T ∂ x p ψ + 2 ψ t T ∂ ψ ∂ x p where T can denote the global mass or stiffness matrix. An experimental modal analysis was conducted on a MGV rotor hanged from a crane via a swivel hoist ring to achieve free-free boundary conditions at best (Fig. 4...