隔振泡沫塑料的试验建模

Modeling on Vibration Isolator Made by Foam Plastics with Experimental Method

对一种增强泡沫塑料隔振器进行试验数学建模。在分析隔振器振动试验数据和研究结果的基础上,根据位移-恢复力滞回曲线对应速度大于零和速度小于零的情况,把回线分解为上下两条。利用隔振器性质相同、安装几何对称条件、上下两条恢复力曲线关于位移反对称的特性,用幂函数多项式,按最小二乘的原理拟合代表试验数据的上下两条恢复力曲线,并经数学变换,把恢复力分解成非线性非滞回弹性恢复力和滞回非线性阻尼力两部分。研究结果表明,这一思路和方法是可行的。研究为这类隔振器数学模型建立提供了有效手段,为恢复力的参数识别提供了极大的方便,也为隔振器动力设计及动力优化奠定了良好基础。

A kind of novel vibration isolator made by reinforced foam plastics is modeled by experiment. On the basis of analysis on dynamic test data and research results of the vibration isolator ,and according to the condition of displacementrestoring force hysteretic loops responding to the vibration velocity of the isolator, the loop is resolved into upper curve and lower curve. The same performance and installation geometrical symmetry and upper restoring force curve and lower one on displacement antisymmetry performance of the isolators are made use of , test data describing the upper and lower curves are fit by least square principle, the restoring force is resolved into nonlinear nonhysteretic elastic restoring force and nonlinear hysteretic damping force with mathematic transform. The research results show that the idea and method presented by authors are useful for modeling of the isolator. The study provides useful means for modeling of this kind isolator and provides a world of convenience for parameters identification of the restoring force and lays a good foundation and has prepared data for dynamic design and dynamic optimization of the isolator.