空间变化的地震作用下地下管线弯曲振动反应的求解方法

BENDING VIBRATION RESPONSE OF UNDERGROUND PIPELINE TO SPATIALLY VARIABLE SEISMIC EXCITATION

本文将地下管线简化成弹性地基上的梁，建立振动方程后做了边界处理，推导出弯曲振动的拟静态和动态位移及内力的级数表达式。从而将求解离散体系对多点地震激励反应的方法推广到管线的弯曲振动问题中。经算例验证，这种方法的计算结果是令人满意的。

In this paper, underground pipeline is modeled as a beam on elastic foundation. The differential equation of vibration is established,and then the boundary conditions are properly treated. Analytic solutions of pseudo-static displacements,dynamic displacements and internal forces for bending vibration are derived in series expansions. Thus the usual method for the discretized system under the action of multi-support excitations is expanded and can be applied for the continuous system. The calculation in the example shows that the results are satisfactorily met.