Читать книгу Flow-Induced Vibration Handbook for Nuclear and Process Equipment - Группа авторов - Страница 47

Tube response to turbulence‐induced excitation forces must be calculated using random vibration theory, and the response must be summed over all significant modes of vibration. The mean square amplitude response, , of a continuous uniform cylindrical tube to distributed random forces, g(x,t), may be expressed by:

(2‐48)

where H_r^*and H_s are complex complementary frequency response functions for the r^th and s^th modes, R(x,x′,f) is the spatial correlation density function and x and x′ are points along the length of the tube. More detail is found in Pettigrew et al (1978), Axisa et al (1990) and in Chapters 9 and 10.