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Nonlinear dynamic response of stone masonry minarets under harmonic excitation

机译：谐波激励下石砌体尖塔的非线性动力响应

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In this paper three historical masonry minarets in Istanbul, Turkey, are assessed for the dependency between the input harmonic motion and structural response parameters. Their heights are 40, 73 and 74 m, while the slenderness is 12, 6 and 12, respectively. The discrete element method is used in dynamic nonlinear analyses. Models were calibrated with measured natural frequencies. A series of sine-wave excitations is created for different frequency-amplitude pairs varying between 0.4 and 10 Hz, and between 0.1 and 1 m/s. From the results of dynamic simulations, a general trend was observed for masonry minarets. Especially, slenderness and wall thickness play an important role on their dynamic response and damage pattern. Dynamic behavior of these minarets cannot reliably be estimated by static non-linear analysis. Two engineering demand parameters (EDPs) are defined to characterize the displacement of the minaret top and the inter-ring shear displacements along the minaret body. Damage performance criteria for minarets are proposed based on four damage states and tentative limit values are given. We were able to identify the occurrence of those limit states as a function of frequency and amplitude of sinusoidal input motion.
机译：本文在土耳其伊斯坦布尔的三个历史砌体尖塔被评估了输入谐波运动和结构响应参数之间的依赖性。它们的高度为40,73和74m，而细长是12,6和12。离散元件方法用于动态非线性分析。使用测量的自然频率校准模型。为不同频率幅度对产生的一系列正弦波激励，其不同于0.4至10Hz，0.1到1米/秒。从动态模拟的结果，对于砌体尖塔观察到一般趋势。特别是，纤细和壁厚在其动态响应和损伤模式上起重要作用。通过静态非线性分析估计这些尖塔的动态行为不能可靠地估算。定义了两个工程需求参数（EDP），以表征沿尖端主体的尖端顶部和环形剪切位移的位移。基于四个损伤状态提出了尖塔的损伤性能标准，并给出了暂定限制值。我们能够确定这些限制状态的发生，作为正弦输入运动的频率和幅度的函数。

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