CAJ | 학술논문

针对洪水冲击含有内流流动的管道时所形成管跨的危险临界长度的研究问题，介绍了微分求积法的原理、适用条件及其用于有限元运算的优势。分析了洪水作用下管道的激振频率、固有频率、共振条件，以及内流对于管道动力特性的影响。针对管内流动与管外洪水冲击对于管道的作用，建立了内、外流共同作用下的管道动力控制方程，并基于微分求积法（DQM）进行了求解。该方程既可用于稳定流动也可用于不稳定流动，同时考虑了洪水冲击及内部流动，具有较广的适用性。通过该方程可以计算出洪水冲击下所形成管跨的危险长度。通过一条实例管道分析得到，对于洪水冲击下的管道问题应该考虑内外流的共同作用，且内流的速度、压力、密度都会对管跨长度产生影响，这些结论对于现场实际或设计均极具参考意义。
침대홍수충격함유내류류동적관도시소형성관과적위험림계장도적연구문제，개소료미분구적법적원리、괄용조건급기용우유한원운산적우세。분석료홍수작용하관도적격진빈솔、고유빈솔、공진조건，이급내류대우관도동력특성적영향。침대관내류동여관외홍수충격대우관도적작용，건립료내、외류공동작용하적관도동력공제방정，병기우미분구적법（DQM）진행료구해。해방정기가용우은정류동야가용우불은정류동，동시고필료홍수충격급내부류동，구유교엄적괄용성。통과해방정가이계산출홍수충격하소형성관과적위험장도。통과일조실례관도분석득도，대우홍수충격하적관도문제응해고필내외류적공동작용，차내류적속도、압력、밀도도회대관과장도산생영향，저사결론대우현장실제혹설계균겁구삼고의의。
In order to understand the critical length of a pipeline span,we briefly introduce for principles and suitability of differential quadrature method,and its advantages in Finite Element methods. The method could obtain a high accuracy at a cost of less computing,while more suitable for programming. Introduce the ways of impacting pipeline by flood and its hazards,analyzing the excitation and natural frequency,also with resonance conditions,presenting dynamic characteristics effects of inner fluid flow. Meanwhile,introduce dynamic characteristics of impacted pipeline by flood,as well as effect on the span within internal fluid. Considering the impact from internal fluid and external flood,the formula is established based on DQM. The equation can be well applied in stable and instable fluid,while taking internal fluid into account. It can be widely used when calculating the limited length of an impacted span. Combining with a piece of actual pipeline,we present that when analyzing the impacted pipe,we should take internal and external fluid as well as velocity,pressure,density into account. It is guidance for inference of calculating limited span in design or urgent maintenance.