Abstract
The influence of the nonlinearity of pendulum-tuned mass dampers (PTMD) on vibration control of H-section hangers was studied analytically. Firstly, the coupled system of a slender H-section hanger and an attached PTMD was simplified to a two-degree-of-freedom (2-DOF) system. The equations of motion were derived for the system under free vibration and forced excitation. Both linear and nonlinear results were obtained. Results show that the free vibration responses of the system are significantly different for linear and nonlinear solutions when the hanger subjects to the large initial displacements. A small structural damping of the H-section hanger has significant effects on enhancement of the pendulum motion stability. For the case of forced vibration, the displacement responses of the primary structure solved by nonlinear solution are smaller than that solved by the linear solution when the excitation amplitude is less than 0.3. However, the displacement responses of the primary structure considering pendulum nonlinearity are larger than the linear responses when the dimensionless excitation amplitude is gradually increased.
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