Abstract
The critical response is investigated for a multi-story damped bilinear hysteretic shear building model under a multi impulse as a representative of long-period long-duration earthquake ground motions. The critical response for an elastic-plastic single-degree-of-freedom (SDOF) model under a multi impulse was derived in the previous papers. However, it is difficult to derive the critical response for a multi-degree-of-freedom (MDOF) model under a multi impulse because the phase lag among masses induces a complicated situation. In place of deriving an explicit critical response, a criterion on the criticality of the multi impulse for the elastic-plastic MDOF model is derived and the properties of the critical responses are clarified. In the analysis, a new concept of ‘Multi Impulse Pushover (MIP)’ is introduced and the progressive performance evaluation for the increasing input level is conducted. The analysis of energy response (input energy, dissipated energy, etc.) and the comparison with the response to the corresponding sinusoidal wave are made to enhance the reliability and practicality of the proposed method using the multi impulse as a substitute of sinusoidal waves which are representatives of long-period long-duration earthquake ground motions.
Highlights
While near-fault ground motions with greater effect on building structures and infrastructure have been investigated extensively all over the world (Bertero et al, 1978; Mavroeidis et al, 2004; Kojima and Takewaki, 2015a), an interest in long-period and long-duration ground motions has not been so much
It is difficult to derive an explicit critical response for a MDOF model under a multi impulse because the phase lag among masses induces a complicated situation
It should be noted that, since the critical input timing can be derived for the multi impulse without repetition, the approximate resonant period of the corresponding sinusoidal wave can be obtained without difficulty
Summary
While near-fault ground motions with greater effect on building structures and infrastructure have been investigated extensively all over the world (Bertero et al, 1978; Mavroeidis et al, 2004; Kojima and Takewaki, 2015a), an interest in long-period and long-duration ground motions has not been so much. The critical response is investigated for a multistory damped bilinear hysteretic shear building model under a multi impulse as a representative of long-period, long-duration earthquake ground motions.
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