エルボと集中質量を含む配管系の理論振動解析

抄録

The vibration of piping system subjected to earthquake is a severe problem. However, the actual piping system is seems to be too complicated to analyze theoretically. Therefore, the finite element method is used to obtain the natural frequencies and mode shapes. For two-span beam, the theoretical method for the natural frequencies are written in the textbook of the vibrations of continuous systems. In this method, the beam is divided at the intermediate support, and the function for the displacement including unknown coefficients is assigned for each divided beam. The boundary conditions for the divided beams yield the characteristic equation for whole beam. In this report, same approach is extended for the piping system with the elbow and concentrated mass.