Abstract
This study investigates a method of designing a simplified cylindrical shell model. This model accurately predicts the dynamic characteristics of a prototype cylindrical shell with sealing teeth accurately. The significance of this study is that it provides an acceptable process which guides the design of test models. Firstly, an equivalent cylindrical shell with rectangular rings is designed by combining the energy equation and numerical analysis. Then the transfer matrixes of the stiffened cylindrical shell and the cylindrical shell are employed to calculate the equivalent thickness of the simplified cylindrical shell commonly used in model tests. Further, the equivalent thicknesses are normalized by introducing an average equivalent thickness. The distorted scaling laws and size applicable intervals are investigated to reduce the errors caused by the normalization. Finally, a 42CrMo cylindrical shell with sealing teeth is used as a prototype and a number 45 steel scaled-down cylindrical shell is used as a distorted test model. The accuracy of the prediction is verified by using experimental data, and the results indicate that the distorted model can predict the characteristics of the stiffened cylindrical shell prototype with good accuracy.
Highlights
A cylindrical shell with sealing teeth is a type of cylindrical structure widely applied in engineering, such as in advanced gas turbines, high-powered aircraft jet engines, and highspeed centrifugal separators [1].Vibration problems are one of the most significant contents in analyzing the cylindrical shell structure [2]
Though the sealing teeth of the cylindrical shell are equivalent by rectangular rings, it is still significant to simplify the structure into a cylindrical shell
This study presents the design method of a distorted cylindrical shell test model in predicting dynamic characteristics of cylindrical shell with sealing teeth
Summary
A cylindrical shell with sealing teeth is a type of cylindrical structure widely applied in engineering, such as in advanced gas turbines, high-powered aircraft jet engines, and highspeed centrifugal separators [1]. Ungbhakorn et al [8, 9] derived the scaling laws of symmetric and antisymmetric cross-ply laminated circular cylindrical shells by using the governing equations Both complete and partial similitude cases are investigated in predicting the vibration and buckling problems. Rezaeepazhand et al [10, 11] have studied the scaling laws of distortion models for predicting laminate shell buckling and free vibration. In their studies, the scaling laws of different material properties, the Advances in Mechanical Engineering number of plies, and geometric size were derived by using the governing equations of laminated plates and shells. Numerical analysis and experimental tests are used to verify the accuracy of the design method
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