Research on dynamic characteristics of plate under pedestrian excitation based on Newmark-β

Abstract

Development of micro and ultra-precision machining, precision instruments and equipment, precision assembly and testing has put forward more and more high requirements to vibration isolation on environmental elements, especially the pedestrian excitation generated by workers' normal walking. Therefore, it is very important to study the pedestrian excitation's influence on vibration characteristics of precision instruments and equipment. In this study, dynamic model including mathematical model of pedestrian excitation, interaction model between pedestrian and rectangular plate structure, the human-plate coupled dynamic equation in vertical direction of pedestrian-plate structure was established. And then we use the Newmark-b method to solve the time-domain step-by-step integration of the first four order modes' dynamic equations and study the influence of the linear notion trajectory along the central axis direction on the dynamic characteristics of the rectangular plate. By simulation, we discussed plate structure response under different conditions, including plate structure displacement and acceleration response under the single person excitation with different velocities, under normal walking velocity with different number of pedestrians and under this case of different distance between two pedestrians. The results show that the structural vibration induced by pedestrian excitation has great influence on dynamic characteristics of plate.

Numerical investigation on the effect of the vessel rolling angle and period on the energy harvest

“…For the Newmark-b method, Ge et al 33 modeled the interaction between pedestrians and rectangular plate structures and solved the mathematical equations using the Newmark-b method. Liu et al 34 proposed an accurate and efficient hybrid solution method based on the Newmark-b method for solving nonlinear oscillators containing fractional derivatives (FDs) of arbitrary order.…”