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非线性模态叠加法将非线性项作为外部荷载处理,结合与荷载相关的Ritz向量后可快速、准确求解简化的模态方程组。以一大跨度马鞍型屋盖刚性模型风洞试验为例,利用非线性模态叠加法计算风振响应时程,进而求得相应风振系数,并与直接时程积分计算结果比较,表明在选择一定数量参振振型后该方法准确、可靠。分析表明该屋盖风振系数受风向影响显著,在0°1、80°风向角下由于大拱曲边涡脱效应出现风振系数极值。
The nonlinear modal superposition method treats the nonlinear term as an external load, and combines the load-dependent Ritz vectors to quickly and accurately solve the simplified modal equations. Taking a rigid span wind tunnel test of a large-span saddle roof as an example, the nonlinear modal superposition method is used to calculate the wind-induced vibration response time, and the corresponding wind-vibration coefficient is obtained. Compared with the direct time-integration calculation results, it is shown that The method is accurate and reliable after selecting a certain number of reference vibration modes. The analysis shows that the wind-induced vibration coefficient of the roof is affected significantly by the wind direction, and the extreme value of the wind-induced vibration coefficient appears at the wind direction angle of 0°1 and 80° due to the vortex shedding effect of the large-arch curved edge.