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实际工程结构处于非线性情况是很多的。钢筋混凝土结构由于混凝土的非线性性质,因而实际上应属于非线性结构的一种类型,即使对于均质的钢结构,当应力超过弹性极限后,也属于非线性问题。对于随机非线性振动的研究,目前大多数集中在上升和下降特性曲线都相同的非线性结构上。对于风激起随机非线性结构的响应,国际上还研究得很少,在国内还未开始研究,因而研究非线性结构随机风振问题,有着十分重大的理论意义和实用意义。本文针对工程结构中物理非线性的特点,上升和下降曲线并不相同,根据等效线性化原理,导出了具体的等效线性公式,根据作者曾提出的风振响应的表达式,针对非线性风振的特殊性提出了具体计算方法,可用图表进行计算。计算中对国际上应用很广的Davenport的风速谱和我国最新统计的风速谱对计算结果的影响进行了比较,在常用范围内我国风速谱计算结果较小,因而对采用谱的问题上要引起我们的注意。
There are many non-linear situations in the actual engineering structure. Due to the non-linear nature of concrete, reinforced concrete structures should actually be a type of nonlinear structure. Even for homogeneous steel structures, when the stress exceeds the elastic limit, it is also a nonlinear problem. For the study of stochastic nonlinear vibrations, most of the current focuses on nonlinear structures with the same rise and fall characteristics. For wind-induced stochastic nonlinear structures, the response has been studied very little in the world and has not yet been studied in China. Therefore, it is of great theoretical and practical significance to study the problem of random wind-induced vibration of nonlinear structures. In this paper, according to the characteristics of physical nonlinearity in engineering structures, the ascending and descending curves are not the same. According to the principle of equivalent linearization, a concrete equivalent linear formula is derived. According to the expression of the wind-induced response proposed by the author, the nonlinearity is The particularity of wind vibration has provided a specific calculation method that can be calculated using charts. In the calculation, the effect of the wind speed spectrum of Davenport, which is widely used internationally, and the wind speed spectrum of China’s latest statistics on the calculation results are compared. In China, the calculation results of wind speed spectrum are smaller in the commonly used range, and therefore the problem of spectrum adoption should be caused. Our attention.