Random vibration response and reliability analysis of hyperbolic parabolic membrane structures under typhoons

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL Thin-Walled Structures Pub Date : 2024-09-18 DOI:10.1016/j.tws.2024.112444

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Abstract

Wind loads in most random vibration studies are assumed to follow Gaussian processes, and reliability-based design is generally conducted based on moment methods to ensure structural survivability. However, membrane roofs under typhoon attacks are loaded by strong non-Gaussian random excitations. The contributions of the third-order moment (skewness) and fourth-order moment (kurtosis) to the structural reliability become more significant. This study investigated the stochastic dynamic response and reliability of hyperbolic parabolic membrane structures excited by non-Gaussian wind loads. Firstly, the Fokker-Planck-Kolmogorov (FPK) governing equation of membrane structures is established, with considerations of both geometric nonlinear stiffness and nonlinear motion-induced aerodynamic force. Then, the steady-state displacement response is analyzed in the slow-varying process of the system. Consequently, a series of analytical solutions, including probability density function (PDF), root mean square (RMS) value, skewness, and kurtosis, can be obtained. The accuracy of the proposed theoretical model is validated throughout a number of wind tunnel tests including various wind velocities and directions. The effects of geometric nonlinear stiffness term, nonlinear motion-induced aerodynamic force, reduced wind velocity and rise-span ratio on structural reliability are thoroughly discussed. The findings reveal that the structural extreme response shows strong non-Gaussian behavior, featured with skewness of -1.5 ∼ 1.2 and kurtosis of 3.82 ∼ 6.89. The influence of geometric nonlinear stiffness and nonlinear motion-induced aerodynamic force on structural reliability can reach up to 28.42 % and 29.84 %, respectively. Among various design parameters, the reduced wind velocity shows the most significant influence on structural reliability. In the probability-based design framework, the critical reduced wind velocity is identified as 1.2, and the critical rise-span ratio is recommended as 1/10. The research proposed in this paper provides an accurate analytical model for predicting the dynamic behavior of such flexible structures under typhoons.

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台风下双曲抛物面膜结构的随机振动响应和可靠性分析

在大多数随机振动研究中，风荷载被假定为高斯过程，可靠性设计一般根据力矩法进行，以确保结构的生存能力。然而，台风袭击下的膜结构屋顶会受到强烈的非高斯随机振动荷载。三阶矩（偏度）和四阶矩（峰度）对结构可靠性的贡献变得更加重要。本研究探讨了双曲抛物面膜结构在非高斯风荷载激励下的随机动态响应和可靠性。首先，建立了膜结构的 Fokker-Planck-Kolmogorov (FPK) 控制方程，同时考虑了几何非线性刚度和非线性运动诱导气动力。然后，分析了系统缓慢变化过程中的稳态位移响应。因此，可以得到一系列分析解，包括概率密度函数（PDF）、均方根值（RMS）、偏斜度和峰度。提出的理论模型的准确性通过大量风洞试验（包括各种风速和风向）得到了验证。深入讨论了几何非线性刚度项、非线性运动诱导气动力、降低的风速和升跨比对结构可靠性的影响。研究结果表明，结构极端响应表现出强烈的非高斯行为，其偏度为-1.5 ∼ 1.2，峰度为 3.82 ∼ 6.89。几何非线性刚度和非线性运动诱导气动力对结构可靠性的影响分别高达 28.42% 和 29.84%。在各种设计参数中，降低风速对结构可靠性的影响最大。在基于概率的设计框架中，临界降低风速被确定为 1.2，临界升跨比被推荐为 1/10。本文提出的研究为预测此类柔性结构在台风下的动态行为提供了一个精确的分析模型。

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来源期刊

Thin-Walled Structures 工程技术-工程：土木

CiteScore

9.60

自引率

20.30%

发文量

801

审稿时长

66 days

期刊介绍： Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses. Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering. The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.