Presented in this paper is the detailed mechanical characteristic of the multiple direction optimized-friction pendulum system. Based on the equilibrium equations, mathematical formulations describing the sliding motions of the multiple direction optimized-friction pendulum system have been derived. The mechanical behavior of the multiple DO-FPS isolation system under cyclic loadings has been investigated. The parametrical study for the multiple DO-FPS isolation bearing has also been carried out to realize its various characteristics under different parameters. It is demonstrated that the natural period and damping effect of the multiple DO-FPS isolator are a function of the sliding direction, displacement and coefficient of friction.

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