Vibration characteristics and dynamic behavior of multiple story buildings allowed to uplift

Tadashi Ishihara; Mitsumasa Midorikawa; Tatsuya Azuhata

doi:10.1117/12.658465

15 March 2006 Vibration characteristics and dynamic behavior of multiple story buildings allowed to uplift

Tadashi Ishihara, Mitsumasa Midorikawa, Tatsuya Azuhata

Proceedings Volume 6169, Smart Structures and Materials 2006: Damping and Isolation; 61691A (2006) https://doi.org/10.1117/12.658465
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2006, San Diego, California, United States

Abstract

It has pointed out that uplifting response can reduce seismic force of buildings. In this paper, to understand this phenomenon from the point of view of modal analysis, vibration characteristics and dynamic behavior of multiple story buildings allowed to uplift are investigated. Analytical models are simplified 2-dimensional multiple story buildings with vertical springs at the bottom, where uplifting is allowed. Models are assumed to be elastic and have no damping. At first, eigenvalue analysis is carried out to clarify the vibration characteristics, that is, natural period and participation vector. Eigenvalue problem is solved utilizing reduced formula for tridiagonal matrix. Next, dynamic behavior is investigated to clarify the effects of higher modes on responses, distribution of shear force along the height and the amount of energy which can be stored as potential energy of self-weight. Dynamic behavior is initiated by means of just adding a certain level of initial horizontal velocities to the model at rest. The distribution of initial velocities along the height is proportional to the 1st mode shape of fixed base model. Analysis is carried out between the initiation of uplift and landing, that is, half cycle of uplifting behavior. From the results of some examples, it is concluded that higher modes have much effect on story shear force responses and distribution of shear force along the height differs from that of ordinary fixed base model.

Citation Download Citation

Tadashi Ishihara, Mitsumasa Midorikawa, and Tatsuya Azuhata "Vibration characteristics and dynamic behavior of multiple story buildings allowed to uplift", Proc. SPIE 6169, Smart Structures and Materials 2006: Damping and Isolation, 61691A (15 March 2006); https://doi.org/10.1117/12.658465

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