多维激励下结构随机振动响应分析
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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。
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.
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.
引文
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[2]王光芦,祝耀昌,刘达德,等.多轴向多激励振动技术[J].环境技术,2000(5):2—6.
[3]夏益霖.多轴振动环境试验的技术、设备和应用[J].导弹与航天运载技术,1996(6):52—59.
[4]赵宝平,王刚,高贵富.多输入多输出振动试验应用综述[J].装备环境工程,2006,3(3):25—32.
[5]吴家驹,荣克林.多维振动环境试验方法[J].导弹与航天运载技术,2003(4):27—32.
[6]白凤龙,李宏男.地震动多点激励下大跨空间网架结构的反应分析[J].工程力学,2010,27(7):67—73.
[7]武芳文,薛成凤,赵雷.多维地震激励作用下大跨度斜拉桥的随机响应[J].武汉理工大学学报,2010,32(9):344—347.
[8]柳国环,李宏男,田利.九江长江大桥在多点多维地震激励下的反应分析[J].振动与冲击,2009,28(9):204—209.
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