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ANALYTICAL DETERMINATION OF SHOCK RESPONSE SPECTRA, FOR AN IMPULSE-LOADED PROPORTIONALLY DAMPED SYSTEM

机译:脉冲负载比例阻尼系统的冲击响应谱分析确定

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Many military systems must be capable of sustained operation in the face of mechanical shocks due to projectile or other impacts. The most widely used method of quantifying a system's vibratory transient response to shock loading is called the shock response spectrum (SRS). The system response for which the SRS is to be determined can be due, physically, either to a collocated or to a noncollocated shock loading. Taking into account both possibilities, one can define the SRS as follows: the SRS presents graphically the maximum transient response (output) of an imaginary ideal mass-spring-damper system at one point on a flexible structure, to a particular mechanical shock (input) applied to an arbitrary (perhaps noncollocated) point on the structure, as a function of the natural frequency of the imaginary mass-spring-damper system. For a response point sufficiently distant from the impact area, many Army platforms (such as vehicles) can be accurately treated as linear systems with proportional damping. In such cases the output due to an impulsive mechanical-shock input can be decomposed into exponentially decaying sinusoidal components, using normal-mode orthogonalization. Given a shock-induced loading comprising such components, this paper provides analytical expressions for the various common SRS forms. The analytical approach to SRS-determination can serve as a verification of, or an alternative to, the numerical approaches in current use for such systems. No numerical convolution is required, because the convolution integrals have already been accomplished analytically (and exactly), with the results incorporated into the algebraic expressions for the respective SRS forms.
机译:许多军事系统必须能够在由于弹丸或其他撞击而遭受机械冲击的情况下持续运行。量化系统对冲击载荷的振动瞬态响应的最广泛使用的方法称为冲击响应谱(SRS)。为其确定SRS的系统响应可能在物理上归因于并置或非并置的冲击载荷。考虑到这两种可能性,可以按以下方式定义SRS:SRS以图形方式显示了一种理想的质量弹簧-阻尼器系统在柔性结构上某一点对特定机械冲击(输入)的最大瞬态响应(输出)。 )应用于虚构弹簧阻尼器系统固有频率的函数,作用于结构上的任意(可能是非共置的)点。对于距离冲击区域足够远的响应点,许多陆军平台(例如车辆)可以被精确地视为具有比例阻尼的线性系统。在这种情况下,由于脉冲机械冲击输入而产生的输出可以使用正模正交化分解为指数衰减的正弦波分量。给定包含此类成分的冲击载荷,本文提供了各种常见SRS形式的解析表达式。 SRS确定的分析方法可以用作此类系统当前使用的数值方法的验证或替代。不需要数值卷积,因为卷积积分已经解析地(准确地)完成了,并且将结果合并到相应SRS形式的代数表达式中。

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