| Due to frequent construction of railways and development of urbanization, most highly development cities or metropolitan areas have encountered the problem that transportation lines inevitably come cross or come close to vibration-sensitive residential or industrial areas. Although micro-vibrations induced by the transit of trains may not result in the collapse of buildings as earthquakes do, they have been known to cause delicate instruments located inside buildings to malfunction, and annoying the people living alongside the railways. Partly due to concerns expressed by the environmentalists, the problem of vibrations induced by trains has received increasing interest in recent years.A traditional mathematic model is used in this paper to model the ground-borne vibrations induced by trains. And an orthogonality analysis method is put forward to study the sensibility on factors of the train-induced vibration. A specific case is studied by orthogonality analysis method. With three levels and seven factors, the result is obtained by eighteen tests. Then the factor sensitivity is evaluated by difference analysis and trend analysis, and the conclusion is proved to be a useful reference to the practice.Since most of researches are concentrated on modeling of ground-borne vibrations, seldom has been reported about the influence of train induced vibration on buildings. A finite element model is established in this paper to study the characteristic of frequency. By the research to buildings with different heights, different distances to railways, and different structural types, some conclusions drawn will be helpful to design and construction.Theoretical analysis and numerical simulation should be verified by experimental tests. A field test is done to verify the conclusions which have been drawn from theoretical analysis and numerical simulations. And with the concerns of the vibration discomfort of the people living alongside the railway, an evaluation ofthe building vibration is taken which using a rule defined by International Organization for Standardization.Compared to the method in the domain of time, all the work in this paper is been done in the domain of frequency, which can save computation time and improve the efficiency of analysis. |