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Large displacement behaviour of a structural model with foundation uplift under impulsive and earthquake excitations

机译:脉冲和地震激励下具有基础隆起的结构模型的大位移行为

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This paper considers the dynamical behaviour of a structural model with foundation uplift. The equations of motion of the system considered are derived for large displacements thus allowing for the eventual overturning of the system. The transition conditions between successive phases of motion, derived in terms of the specific Lagrangian co-ordinates used in the formulation of the equations of motion, present innovative aspects which resolve some previously inexplicable behaviour in the structural response reported in the literature. The dynamical behaviour of the model is considered under impulsive and long-duration ground motions. The minimum horizontal acceleration impulses for the uplift and the overturning of the system are evaluated in analytical form. The sensitivity of the model to uplifting and to overturning under impulsive excitations is established as a function of few significant structural parameters. Numerical applications have been performed changing either the structural parameters or the loading parameter, in order to analyse several dynamical behaviours and also to validate the analytical results. For earthquake ground motions the results, reported in the form of response spectra, show that linearized models generally underestimate, sometimes significantly, the structural response.
机译:本文考虑了具有基础抬升的结构模型的动力学行为。所考虑的系统的运动方程式是针对大位移量导出的,因此可以最终使系统倾覆。根据运动方程式中使用的特定拉格朗日坐标得出的运动连续相之间的过渡条件提出了一些创新方面,这些方面解决了文献中报道的结构响应中以前无法解释的行为。考虑模型的动力学行为是在脉冲和持续时间长的地震动下。以分析形式评估系统升起和倾覆的最小水平加速度脉冲。建立了模型在脉冲激励下对隆起和倾覆的敏感性,这是由几个重要结构参数决定的。改变结构参数或加载参数已经进行了数值应用,以便分析几种动力学行为并验证分析结果。对于地震地面运动,以响应谱形式报告的结果表明,线性化模型通常会低估(有时会明显低估)结构响应。

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