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振动机械的动力学参数主要有激励力P_j、激励频率ω_j、固有频率ω_n、频率比(ω_j/ω_n)及振幅A等(1)。在常规的“共振”式机械设计中,选择共振区的频率比λ≈1[一般取λ=0.95~1.05,或ω_j=(0.95~1.05)ω_n],这样,使机器处于“共振”工作状态。但是象共振筛一类的“共振”机械,由于参加振动的质量和激励的频率有不规则的变化,因而振动性能常常不稳定。而常规设计中没有考虑到产生“共振”参数的离散性,所以没有定量的回答处在“共振”区工作的可靠性。本文引用概率方法,导出“共振”可靠性的联结方程,不仅可应用于“共振”式机械的可靠性设计,而且对类似性质机械的振动问题均可参考应用。
The main dynamic parameters of the vibration machine are the excitation force P_j, the excitation frequency ω_j, the natural frequency ω_n, the frequency ratio (ω_j / ω_n) and the amplitude A (1). In the conventional “resonance” type mechanical design, the frequency of the resonance zone is chosen to be λ≈1 [generally λ = 0.95-1.05, or ω_j = (0.95-1.05) ω_n] so that the machine is in a “resonant” operating state . However, “resonance” machines, such as resonant sieves, often have unstable vibrations due to the irregularities in the quality of the vibration involved and the frequency of the excitation. The conventional design does not take into account the discrete “resonance” parameters, so there is no quantitative answer in the “resonance” area of work reliability. In this paper, the probabilistic method is used to derive the connection equation of “resonance” reliability, which not only can be applied to the reliability design of “resonance” machines, but also can be applied to the mechanical problems of similar nature.