Purpose

High-rise tower structures supported by side frame structure and viscous damper in chemical industry can produce plasticity under dynamic loads, such as wind and earthquake, which will heavily influence the long-term safety operation. This paper aims to systematically study the optimization design of these structures by free vibration and dynamic shakedown analysis.

Design/methodology/approach

The transfer matrix method and Euler–Bernoulli beam vibration are used to study the free vibration characteristic of the simplified high-rise tower structure. Then the extended stress compensation method is used to construct the self-equilibrated stress by using the dynamic load vertexes and the lower bound dynamic shakedown analysis for the structure with viscous damper. Using the proposed method, comprehensive parametric studies and optimization are performed to examine the shakedown load of high-rise tower with various supported conditions.

Findings

The numerical results show that the supported frame stiffness, attached damper or spring parameters influence the free vibration and shakedown characters of high-rise tower very much. The dynamic shakedown load is lowered down quickly with external load frequency increasing to the fundamental natural frequency of the structure under spring supported condition, while changed little with the damping connection. The optimized location and parameter of support are obtained under dynamical excitations.

Research limitations/implications

In this study, the high-rise tower structure is simplified as a cantilever beam supported by a short cantilever beam and a damper under repeated dynamic load, and linear elasticity for solid is assumed for free vibration analysis. The current analysis does not account for effects such as large deformation, stochastic external load and nonlinear vibration conditions which will inevitably be encountered and affect the load capacity.

Originality/value

This study provides a comprehensive method for the dynamical optimization of high-rise tower structure by combining free vibration and shakedown analysis.

中文翻译：

---

高层塔结构的动力安定分析

目的

化工行业采用侧架结构和粘滞阻尼器支撑的高层塔结构在风、地震等动荷载作用下会产生塑性，严重影响长期安全运行。本文旨在通过自由振动和动态安定分析系统地研究这些结构的优化设计。

设计/方法/方法

采用传递矩阵法和欧拉-伯努利梁振动研究简化的高层塔结构的自由振动特性。然后采用扩展应力补偿方法，利用动态荷载顶点和下界动态安定分析，构造具有粘性阻尼器的结构的自平衡应力。使用所提出的方法，进行了全面的参数研究和优化，以检查具有各种支撑条件的高层塔的安定载荷。

发现

数值结果表明，支撑框架刚度、附加阻尼器或弹簧参数对高层塔的自由振动和安定特性影响很大。在弹簧支撑条件下，随着外部载荷频率增加到结构的基本固有频率，动态稳定载荷迅速降低，而阻尼连接变化不大。在动态激励下获得优化的支撑位置和参数。

研究限制/影响

在本研究中，高层塔结构被简化为由短悬臂梁和阻尼器支撑的悬臂梁，在反复动载荷下，并假设实体为线弹性以进行自由振动分析。目前的分析没有考虑到大变形、随机外部载荷和非线性振动条件等不可避免会遇到并影响承载能力的效应。

原创性/价值

本研究为高层塔结构动力优化结合自由振动分析和安定分析提供了一种综合方法。