Review: Critical Excitation Problems for Elastic–Plastic Structures Under Simple Impulse Sequences

IF 0.8 0 ARCHITECTURE
Izuru Takewaki
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Abstract

This review paper treats critical excitation methods and discusses the possibility of a paradigm shift in nonlinear structural dynamics for building structures with hysteresis using input model transformation without structural model transformation. Long-term key issues in the earthquake-resistant design of building structures are combats with resonance and damping. Nonlinear resonance problems are reformulated as critical excitation problems for elastic–plastic structures under a simple impulse sequence. The double impulse (DI) with two impulses of opposite directions is introduced as a simple representative model of near-fault pulse-type ground motions. The interval of such impulses is treated as a parameter to derive the critical input. Another critical excitation problem is considered for elastic–plastic building structures under the multi impulse (MI) representing long-period, long-duration ground motions. These critical excitation problems are solved by using an energy balance approach between the kinetic energy and the strain-dissipated energy. It is pointed out that this paradigm shift enables a smart capture of nonlinear resonance in structural dynamics, which has been thought to need intrinsic repetition of numerical computation. It is also found that this paradigm shift fills a gap between two historical hypotheses (constant energy criterion, constant displacement criterion) in the earthquake-resistant design of building structures.

Abstract Image

综述:简单脉冲序列下弹塑性结构的临界激励问题
本文讨论了非线性结构动力学中使用输入模型转换而不使用结构模型转换的迟滞建筑结构的临界激励方法,并讨论了范式转换的可能性。长期以来,建筑结构抗震设计的关键问题是抗共振和阻尼。将非线性共振问题重新表述为简单脉冲序列下弹塑性结构的临界激励问题。介绍了具有两个相反方向脉冲的双脉冲(DI)作为近断层脉冲型地震动的简单代表模型。将这些脉冲的间隔作为一个参数来导出临界输入。另一个关键的激励问题是考虑弹塑性建筑结构在多脉冲(MI)下,代表长周期,长持续时间的地面运动。利用动能和应变耗散能之间的能量平衡方法解决了这些关键的激励问题。本文指出,这种范式转变使得结构动力学中的非线性共振能够被智能捕获,而非线性共振一直被认为需要数值计算的内在重复。研究还发现,这种范式转变填补了建筑结构抗震设计中两种历史假设(恒能量准则和恒位移准则)之间的空白。
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来源期刊
CiteScore
1.20
自引率
11.10%
发文量
58
审稿时长
15 weeks
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