Formulations Of Mass Fraction of the Multi-Story Flexible Structures Isolated by Friction Pendulum Sliding Bearings (FPB)

Abstract eng:
In this paper, dynamic response analysis of the isolated structure performed by the mathematical models to investigate functional relationship between natural periods of isolated flexible structure and its mass fraction. Fundamental Frequency of the isolated flexible structure depends on the mass fraction of the structure that some fraction of mass vibrates at the frequency of isolator and rest vibrates at its own frequency. The maximum displacement response of the isolated structure at isolation level is the key design parameter for the application of base isolation. Base isolator can reduce inertia forces generated by ground shaking. However, since natural frequency of a flexible structure directly related to its mass fraction; it is the case that the natural frequency of isolator would match to the one of the mode of the natural frequency of the isolated flexible structure. As a result inertia forces of the isolated structure would be amplified instead of reduced. Therefore, this paper underlines the importance of the mass fraction, and to obtain reliable parameters when flexible structure is capable to translate at base. The outcomes of the mathematical models are consistent with the experimental results of two and three story model of structure.

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