摘要
本文利用随机振动离散分析方法的最优β-递推式研究了结构确定性响应问题.为了解其有效性和精确性,通过数值计算把它与经典的数值积分法作了比较,可以看出,该递推格式对于结构的确定性响应分析同样是有效的.同时由前文可知,该方法是无条件稳定的,并且它的具体计算公式较其它数值积分法更为简捷.
β-Recurrence formula which was develo?ed in the discrete analysis for random vibration is used in this paper to study the dynamic responses of structures. In order to evaluate the effectiveness and accuracy of this formula, the comparation is made for it with foregone direct integration fo?ula.The results show that the formula is also effective for the dynamic analysis of structures. In the mean time, from Ref[1] it can be concluded that this formula is ?condi tionally stable. In addition, the practical calculation form of β—recurrence formula is much simpler than that of other direct integration formulas which are ofte used in engineering at present.
关键词
β递推式
非线性结构
动力响应
dynamic differencial equation direct integration method
β-recurrence formula
nonlinear structure.
