期刊名称：IOP Conference Series: Earth and Environmental Science
印刷版ISSN：1755-1307
电子版ISSN：1755-1315
出版年度：2020
卷号：510
期号：5
页码：1-6
DOI：10.1088/1755-1315/510/5/052040
语种：English
出版社：IOP Publishing
摘要：Free vibration of cutter head is very important to the shield tunneling machine in design, manufacture and construction. It is a free vibration problem of simply-connected circular plates with clamped supported boundary. In this paper, a element-free key to solve the problems of cutter head vibration by the Radial Basis Function is put forward. In order to save the computational time, the real-part MFS is used to carry out the mathematical analysis which is different from the previous complex value calculation. For the cutter head, the eigenequations were obtained by analytic deduction using the discrete element-free model. It is found that the spurious eigenequation relies on the equations employed, but the true eigenequation is related to the boundary conditions. By using Burton & Miller methods, the true eigenequation was extracted. A numerical case of clamped cutter head was adopted to valid the effectiveness of the present method.
