摘要
将等效线性化方法与统计线性化方法分别应用于简谐激励下与随机风场下的气屏刚性无渗漏雨幕墙的压力传递分析以获得频域分析方法,并与原非线性系统时域分析所得结果进行对比,探讨了两种线性化方法的适用性。结合高斯闭合法对统计线性化方法所得频域信息的有效性作了讨论。研究发现:等效线性化方法与统计线性化方法的精度随系统阻尼的增加而减小。一般情况下,两种线性化方法的精度是较高的。系统阻尼较小时,统计线性化方法所得的频谱信息能理想地反映原非线性系统的频率结构。此时压差系数传递函数频谱曲线的偏差主要集中在自振频率附近。且当线性迭代系统的阻尼比达到27%时,结果仍然理想。统计线性化方法所得的响应均方根都有所偏小,对压差系数均方根的计算结果要进行放大,可乘以1.15加以修正。
For analyses in the frequency-domain, the equivalent linearization method (ELM) and the statistical linearization method (SLM) are applied to the study of pressure equalization for rainscreen walls with rigid and no-leakage air barrier under the sinusoidal and random wind pressure separately. Through numerical simulation and comparison with the time-domain analysis of the original nonlinear system, the precision of these two linearization processes is studied. Furthermore by referring to the Gaussian closure technique (GCT), the accuracy of the response spectrum based on the SLM is investigated. It is found that the precision of these two linearization processes decreases when the damping of the system increases. For ordinary condition, the precision is adequate. The response spectrums based on the SLM can represent the original one when the damping of the system is small. And the discrepancy of the response spectrums mainly happens near the natural vibration frequency. When the damping ratio gets to 27% ,this representation holds good. The RMS of the pressure drop is underestimated by the SLM, and it is needed to multiply a factor of 1.15 for correction.
出处
《振动工程学报》
EI
CSCD
北大核心
2009年第4期379-385,共7页
Journal of Vibration Engineering
基金
国家自然科学基金资助项目(50578144)
关键词
雨幕
压力平衡
等效线性化方法
统计线性化方法
高斯闭合法
rainscreen
pressure equalization
the equivalent linearization method
the statistical linearization method
the Gaussian closure technique