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Seismic design by the response spectrum method: A new interpretation of elliptical response envelopes and a novel equivalent static method based on probable linear combinations of modes

机译:响应谱法的抗震设计:椭圆响应包络的新解释和基于模态线性组合的等效静力法

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摘要

At the design calculation phase, the seismic analysis of a nuclear building is usually based on the assumption of structural linearity. Moreover, design codes impose to consider three-component ground motions. In this context, the response spectrum method is likely the most used seismic design approach. Different variants of the response spectrum method exist, the main differences among them being related to the way of superposing the contributions of the three ground motion components and to the treatment of the simultaneity of physically distinct responses. A set of n_r ≥ 2 simultaneous values of distinct responses can be called response vector. The basic variants of the response spectrum method provide the peak value of each distinct response, allowing the definition of a parallelepiped envelope for the response vectors: this envelope is conservative since the peaks of distinct responses, in general, do not occur simultaneously. Conversely, the so-called elliptical response envelopes, which are hyper-ellipsoids of dimension n_r, correctly take into account response simultaneity. In the first part of this paper, a new interpretation of the response envelopes is presented, based on the notion of probable linear combinations of modes. The practical use of response envelopes is not straightforward when n_r > 3, like e.g. in the case of shell finite elements with three membrane forces and three moments. A standard procedure consists in approximating the response envelope by an enveloping polyhedron, whose vertices define a set of response vectors. The definition of a refined polyhedron, closer to the surface of the response envelope, is proposed in the second part of the paper. Another commonly used approach for the seismic structural design is the so-called equivalent static method, where the seismic action is represented by a static force field applied to the structure. The main difficulty in the practical application of this method is the definition of a static force field taking into account all the ground motion components and the contribution of all the structural modes. A novel procedure for the definition of equivalent static loads is described in the third part of this article, based on the use of pseudo-inertia forces and on the notion of probable linear combinations of modes. In the last part of the paper, both the response envelope approach and the proposed procedure for the equivalent static load definition are applied to the seismic design of a representative reinforced concrete nuclear building. The results are compared with those obtained by several classical variants of the response spectrum method.
机译:在设计计算阶段,对核建筑的地震分析通常基于结构线性的假设。此外,设计规范要求考虑三部分地震动。在这种情况下,响应谱方法可能是最常用的地震设计方法。存在响应频谱方法的不同变体,它们之间的主要区别与叠加三个地震动分量的贡献的方式以及物理上不同的响应的同时性的处理有关。一组n_r≥2个不同响应的同时值可以称为响应向量。响应谱方法的基本变体提供了每个不同响应的峰值,从而可以为响应向量定义平行六面体包络:由于通常不同时响应的峰值通常不会同时出现,因此该包络是保守的。相反,所谓的椭圆响应包络是尺寸为n_r的超椭圆体,它正确地考虑了响应同时性。在本文的第一部分中,基于模式的可能线性组合的概念,提出了对响应包络的新解释。当n_r> 3时,响应包络的实际使用并不简单,例如对于具有三个膜力和三个力矩的壳有限元。一个标准程序包括用一个包络的​​多面体来近似响应包络,该多面体的顶点定义了一组响应向量。本文第二部分提出了更接近响应包络表面的精制多面体的定义。地震结构设计的另一种常用方法是所谓的等效静力方法,其中地震作用由施加到结构的静力场表示。该方法在实际应用中的主要困难是考虑所有地面运动分量和所有结构模式的贡献来定义静力场。本文的第三部分基于伪惯性力的使用以及模式的可能线性组合的概念,介绍了一种定义等效静载荷的新颖方法。在本文的最后一部分中,响应包络法和等效静载荷定义的拟议程序都应用于代表性的钢筋混凝土核建筑的抗震设计。将结果与通过响应光谱方法的几种经典变体获得的结果进行比较。

著录项

  • 来源
    《Nuclear Engineering and Design》 |2014年第9期|277-294|共18页
  • 作者单位

    Egis Industries, 4 rue Dolores Ibarruri, TSA 50012, 93188 Montreuil Cedex, France;

    Egis Industries, 4 rue Dolores Ibarruri, TSA 50012, 93188 Montreuil Cedex, France;

    Egis Industries, 4 rue Dolores Ibarruri, TSA 50012, 93188 Montreuil Cedex, France;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);
  • 原文格式 PDF
  • 正文语种 eng
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