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This extrapolates that if identical parameters of two thin walled cylindrical shells can be converted to each other, the geometries must have the equivalent scale factors and u must be identical, while the material properties E and ρ are not constraint.
Table 3 Circumferential waves of thin walled cylinderical shells 1st order 2nd order 3rd order 4th order 5th order The prototype 9 8 10 7 11 Model 1 9 8 10 7 11 Model 2 10 11 9 12 8 Model 3 5 6 7 4 8 Model 4 7 6 8 5 9 Model 5 9 8 10 7 11 Model 6 9 8 10 7 11 Model 7 9 8 10 7 11 Acknowledgment This work was supported by National Science Foundation of China (51105064), Postdoctoral Science Foundation of China (20100481200), and Fundamental Research Funds for the Central Universities of China (N100403007).
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The slice is considered as rigid plastic material, and then stability is judged with K while the slope reaches limit equilibrium on slip surface.
Acknowledgements This work was financially supported by the Natural Science Foundation of Inner Mongolia of China (2009BS0703) and Science Research Fund of Higher Education of Inner Mongolia of China (NJZY08060).
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In plunge milling operation, a larger radial cutting depth is always selected in order to improve processing efficiency, while the titanium alloy is a kind of material which is difficult to process, thus the milling force is relative large and the chatter vibration is easy to happen in plunge milling operations.
Acknowledgement This project is supported by, National Natural Science Foundation of China (50705066), Natural Science Foundation of Tianjin (08JCYBJC01300, 11JCZDJC22800), and Science and Technology Key Project of Tianjin (09ZCKFGX03300).
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Because MR is a parameter related to panel material density, thus AB is the flutter boundary of the panel.
The curve CDB corresponds to Eq. (12), as the panel material density has no effect on curve CDB, it is the buckling boundary of the panel.
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Introduction The high strength steel bar has a number of advantages, such as high strength, saving energy and reducing the material consumption.
Acknowledgements This work was financially supported by the Hebei Natural Science Foundation (E2011202013).
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Acknowledgements This research is supported by the National Natural Science Foundation of China (Project ID: 51175369).
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Generally, the anodic catalysts used in DEFCs are Pt-based materials, such as Pt–Ru alloy [5].
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Coal can be used as fuel, also as chemical raw materials.
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The above process will be repeated until the material is destroyed, and the material damage process can be showed by the elements damage in turn.
Acknowledgments This work is supported by the National Natural Science Foundation of China under grant no. 10872216 References [1] Carmen Baudin, Ali Sayir, M.H.
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