两点激励中相关系数的影响

Influences of Correlation Coefficient in Two-point Excitations

目的用谱函数分析的方式,推导结构在两点激励下的随机振动响应的计算公式。方法通过互谱与相关系数的关系,讨论结构在两点激励下的响应特点。结果对于线性结构,不同相关系数的两点激励下结构激发的模态效果不同,随着相关系数的增大,结构的响应在相邻的谐振峰上,出现增大、减小交替出现的现象。结论相关系数对结构响应影响的特点,应该引起工程结构设计人员的重视。

Objective The paper aims to derive the computational formula for random vibration response of structures under two-point excitations with spectrum function. Methods Response characteristics of the structural under two-point excitations were discussed with cross spectrum and correlation coefficient. Results For linear structures, the stimulated modal effects varied with different correlation coefficients under two-point excitations. With the increase of the correlation coefficient, the structural response spectrum increased and reduced alternately on adjacent resonance peaks. Conclusion Influences of structural vibration response character with different correlation coefficient should be worth of attention of the designers of engineering structures.