一种基于三轴与单轴随机振动最大应力等效的载荷裁剪方法

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (6) : 86-90.

论文

王海东 1，仇原鹰 2，周东亮 2，周磊 2 ，李伟明 1

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Load clipping method based on the maximum stress equivalence between triaxial and uniaxial random vibration

WANG Haidong 1，QIU Yuanying2，ZHOU Dongliang2 ,ZHOU Lei2 ,LI Weiming1

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摘要

为了避免三轴振动试验对产品造成过试验问题，现以单轴振动试验标准为基准，进行基于三轴振动与单轴依次振动最大响应应力等效的三轴载荷谱裁剪。首先对线性系统在随机振动下激励与响应均方根值的关系进行推导，将单轴振动时的最大等效应力与三轴振动时的最大等效应力的比值n作为三轴振动载荷谱均方根值的裁剪系数，裁剪保持载荷谱扫频范围、拐点频率值以及载荷谱斜线段的斜率N不变，根据梯形谱均方根值计算公式反推出梯形载荷谱直线段谱值，进而得到满足三轴与单轴随机振动最大应力等效的三轴载荷谱。通过对某典型舱段结构进行三轴载荷谱的裁剪，并将载荷谱裁剪后的三轴振动应力响应与载荷谱裁剪前的单轴振动应力响应进行对比，验证了方法的有效性与准确性。

Abstract

To avoid over test in triaxial vibration tests on products,the triaxial load spectrum clipping was introduced based on the equivalence of the maximum response stress in triaxial vibration that in successive uniaxial vibrations using the uniaxial vibration testing standard as a benchmark.The relationship between the excitation and response rms values of a linear system under random vibration was deduced and the ratio n of maximum equivalent stress in uniaxial vibration to that in triaxial vibration was adopted as a clipping coefficient for the rms value of triaxial vibration load spectrum.While doing the clipping,the load spectrum sweep range,the corner frequency value and the slope N of oblique line segment in the load spectrum were kept unchanged.Then,the spectrum values at the straight section of load spectrum were figured out according to the rms value calculation formula for trapezoid spectrum so as to get a triaxial load spectrum that meets the stress equivalence between triaxial and uniaxial random vibrations.Through the clipping on the triaxial load spectrum of a certain typical missile compartment and contrasting the triaxial vibration responses after load spectrum clipping with the uniaxial vibration responses before clipping,the validity and accuracy of the method were verified.

导出引用

王海东 1，仇原鹰 2，周东亮 2，周磊 2,李伟明 1. 一种基于三轴与单轴随机振动最大应力等效的载荷裁剪方法[J]. 振动与冲击, 2017, 36(6): 86-90

WANG Haidong 1，QIU Yuanying2，ZHOU Dongliang2,ZHOU Lei2,LI Weiming1. Load clipping method based on the maximum stress equivalence between triaxial and uniaxial random vibration[J]. Journal of Vibration and Shock, 2017, 36(6): 86-90

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