An analytic method was applied to study the vibration performance of the 52-meter-long five-boom system of truck mounted concrete pump.The combination of Lagrange's equations of the second kind and assumed mode method was utilized to establish the flexible multi-body dynamics equation of the boom system.Based on the dynamic model,modal analysis was implemented and numerically solved by MATLAB,and the first ten nature frequencies and modes of vibration of the boom system were acquired.The impacts of the boom...