Abstract
The pipe model is simplified as elastic foundation beam model of Euler-Bernoulli in the paper. The supported forms are fixed support and free support in the analysis of axial vibration. Kelvin viscoelastic foundation model is adopted and the dynamic model of soil spring is regarded as linearity. Applying the principle of Hamilton, the differential equation of axial vibration is deduced. By utilization of the first three-order modal and the orthogoality of main vibration mode, the equations of earthquake excitaiton are discreted and transformed into common form of dynamic equation. A typical numerical example is analyzed by using of the Matlab software.
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