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在生产实践和日常生活中,很多物理系统可以抽象为图1所示的二自由度隔振系统。通常,上层质量m_2是隔振研究的对象。当系统受到来自基础的宽带随机激励时,隔振效果可以用m_2的振动能量,也就是加速度均方值E〔X_2~2(t)〕的大小来评价。当激振源已知,而系统其他参数确实的条件下,如何选择弹簧刚度k_2,阻尼系统C_2以及质量比μ=m_2/m,在相对位移y_2=x_2-x受到一定限制的约束条件下,使得响应均方值E〔x_2~2(t)〕最小。这是一
In production practice and daily life, many physical systems can be abstracted as shown in Figure 1 two-degree-of-freedom vibration isolation system. In general, the upper mass m_2 is the object of vibration isolation studies. When the system is subjected to a broadband random excitation from the foundation, the vibration isolation effect can be evaluated by the vibration energy of m_2, that is, the mean square value of acceleration E [X_2 ~ 2 (t)]. When the excitation source is known and the other parameters of the system are valid, how to select the spring stiffness k_2, the damping system C_2 and the mass ratio μ = m_2 / m, under the constraint that the relative displacement y_2 = x_2-x is limited, So that the response mean square value E [x_2 ~ 2 (t)〕 minimum. this is one