【摘要】 基于随机振动方法,以谱函数分析的方式,给出了典型结构在多维激励下的振动响应计算公式。根据理论分析的结果,计算了多激励单轴向和多激励多轴向的算例。结果表明,对于线性结构,多维激励下结构振动的响应谱为轴向上各个激励点时响应谱的叠加,但由于各点激励下结构振动的振型函数不同,结构响应可能比单个激励点激励时响应大,也可能小;在一些情况下,结构响应会丢失反对称振型的响应。多维激励下振型函数对结构响应的影响,应该引起工程结构设计人员的重视。更多还原

【Abstract】 Base on random vibration method,through spectrum function analysis,the random vibration response calculation of typical structures under multi-dimensional excitation was given.MESA and MESE examples were demonstrated according the theoretical analysis results.Numerical analysis results indicated that,for linear structures,the responses of multi-dimensional excitation are the sum of one-dimensional excitation;however for the difference of mode functions of each single exciter,the structural vibration responses may increase or decrease compared with that of single exciter;in special case,the responses of anti-symmetric mode can even disappear.The influence of structural vibration responses character under multi-dimensional excitation is worth of attention of the designers of engineering structures.更多还原