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タイトル: | Closed-Form Overturning Limit of Rigid Block under Critical Near-Fault Ground Motions |
著者: | Nabeshima, Kunihiko Taniguchi, Ryo Kojima, Kotaro Takewaki, Izuru |
著者名の別形: | 竹脇, 出 |
キーワード: | earthquake response near-fault ground motion double impulse rigid block rocking critical response overturning scale effect |
発行日: | 6-May-2015 |
出版者: | Frontiers Media SA |
誌名: | Frontiers in Built Environment |
巻: | 2 |
論文番号: | 9 |
抄録: | A closed-form limit on the input level of the double impulse as a substitute of a near-fault ground motion is derived for the overturning of a rigid block. The rocking vibration of the rigid block is formulated by using the conservation law of angular momentum and the conservation law of mechanical energy. The initial rotational velocity after the first impulse and the rotational velocity after the impact are determined by the conservation law of angular momentum. The velocity change after the second impulse is also characterized by the conservation law of angular momentum. The maximum angles of rotation of the rigid block in both the clockwise and anti-clockwise directions, which are needed for the computation of the overturning limit, are derived by the conservation law of mechanical energy. This enables us to avoid the computation of complicated non-linear time-history responses. The critical timing of the second impulse to the first impulse is characterized by the time of impact after the first impulse. It is clarified that the action of the second impulse just after the impact corresponds to the critical timing. It is derived from the closed-form expression of the critical velocity amplitude limit of the double impulse that its limit is proportional to the square root of size, i.e., the scale effect. |
著作権等: | © 2016 Nabeshima, Taniguchi, Kojima and Takewaki. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms. |
URI: | http://hdl.handle.net/2433/216518 |
DOI(出版社版): | 10.3389/fbuil.2016.00009 |
出現コレクション: | 学術雑誌掲載論文等 |
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