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Dynamic characteristics and response analysis of accelerating underwater structures
Liu, Zhengxing,Williams, F.W.,Jemah, A.K. Techno-Press 1998 Structural Engineering and Mechanics, An Int'l Jou Vol.6 No.6
A coupling system for a structure accelerating through a fluid is considered which is composed of the structure and the fluid in a finite surrounding volume. Based on the variational principle, the finite element equations of hydrodynamic pressure and structural elastic vibration are deduced. A numerical method is given for the dynamic character and response of the structure which takes the coupled fluid into account. The effect of axial inertial forces on the dynamic character and response of rapidly accelerating structures is also considered.
Contact surface element method for two-dimensional elastic contact problems
Liu, Zhengxing,Yang, Yaowen,Williams, F.W.,Jemah, A.K. Techno-Press 1998 Structural Engineering and Mechanics, An Int'l Jou Vol.6 No.4
The stiffness matrix of a two-dimensional contact surface element is deduced from the principle of virtual work. The incremental loading procedure used is controlled by displacement and stress. Special potential contact elements are used to avoid the need to rearrange the FEM mesh due to variations of the contact surface as contact develops. Published results are used to validate the method, which is then applied to a turbine to solve the contact problem between the blade root and rotor in the region in which a 'push fit' connects the blade to its rotor.