移動外力傳經連續彈性柱與地面藕合的振動效應分析

The Coupling Vibration Analysis of a Periodically Spring Supported Beam with the Ground by the Moving Forces

楊哲維(Jer-Weir Yang)

《建國科大學報》 27卷2期 (2008/01) Pp. 73-95

https://doi.org/10.6995/JCTU.200801.0073

摘要

本文將一移動外力作用在週期支撐彈性柱上，其所傳遞到地面任意點的振動效應，建立出一套數學模式，以分析外力移動對地面所造成的振動影響。文中亦討論該模式中較重要的二個參數即支柱跨距和外力移動速度的影響，當在不同的支柱跨距下，較大的跨距，將對地面產生較大的振動量，但當支撐間距大到某一程度後，即令再增加間距，地面的振動量也不會有太大的變化。另外對於改變不同的外力移動速度，除會造成所熟知的都卜勒效應外，並進一步分析，當移動速度持續增加，地面結構的振動將因週期支撐的作用，使得頻譜的峰值漸與傳統都卜勒效應值而有所不同。

關鍵字

移動外力 ； 連續彈性柱 ； 振動效應

並列摘要

In this proposed research, it intends to develop a general mathematical model to demonstrate the coupling vibration analysis of a periodically spring supported beam with the ground by the moving forces. This study will focus not only on the dynamic behavior of the ground but also on the effects of vary parameters of the moving speed and the support space. With different support space, bigger space causes larger vibration to the ground. However, when supports space enlarge to a certain degree, it will gain no more vibration reflections even the space increases. Moreover, different external force speed causes Doppler's Effect. Also, with force speed increases, the peak point of spectrum caused by the vibration of ground structure will differ from the value of traditional Doppler's Effect.

並列關鍵字

Moving force ； Periodically supports ； Vibration Analysis